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1

Numerical modelling of uniaxial compressive strength laboratory tests

Nguyen Phu Minh Vuong, Walentek Andrzej, Waclawik Petr, Souček Kamil, Antoniuk Michał

Journal of Sustainable Mining

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2023

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Vol. 22. iss. 4

280--294

EN

In the last decades, numerical modelling has been widely used to simulate rock mass behaviour in geo-engineering issues. The only disadvantage of numerical modelling is the reliability of required input data (e.g. mechanical parameters), which is not always fully provided due to the complexity of rock mass, project budget, available test methods or human errors. On the other hand, it was proven in many cases that numerical modelling is a helpful tool for solving such complex problems, especially when coupled with the results of laboratory and in-situ tests. This paper presents an attempt to determine the proper numerical constitutive model of rock and its mechanical parameters for further simulating rock mass response based on the outcomes of laboratory testing. For this purpose, the available constitutive models, including mechanical parameters, were taken into account. The simulation performance with the selected constitutive models is demonstrated by matching the numerical modelling results with the uniaxial compressive strength laboratory tests of rock samples from the Bogdanka coal mine. All numerical simulations were carried out using the finite difference method software FLAC3D.

2

Research on the linear viscoelastic rheological properties of rejuvenated asphalt mastic based on the discrete element method

Lin Mei, Lei Yu, Li Ping, Shuai Jun, Wang Zhaoli

Archives of Civil Engineering

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2023

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Vol. 69, nr 2

399--416

EN

The rheological property of asphalt is an important factor affecting the pavement performance of asphalt binder, and the fundamental reason for the change of asphalt rheological property is the strong evolution of asphalt material meso structure. However, the internal mechanism of rejuvenated asphalt mastic system is complex and its rules are difficult to grasp. Aiming to study the relationship between meso mechanical parameters and rheological parameters of rejuvenated asphalt mastic, the meso structure model of rejuvenated asphalt mastic was established and improved based on the discrete element method. Moreover, the meso parameters of the model were obtained by the objective function method, and then the influences of various factors were studied to construct the mathematical constitutive model of rheological parameter modulus and meso mechanical parameters. Combing with the reliability of the improved Burgers model was verified based on the rheological test results of rejuvenated asphalt mastic. In addition, the virtual test of dynamic shear rheological dynamic frequency scanning was carried out on the asphalt mastic sample by particle flow software. By adjusting the mesomechanical parameters, the simulation results (complex shear modulus and phase angle) were consistent with the test results. This study clarified the relationship between mesomechanics and macro performance, and this model could be used to obtain the complex shear modulus of rejuvenated asphalt mastic under different types, filler-asphalt ratio and external force environments by adjusting particle flow, wall boundary and other conditions, which can greatly save the workload for the later research and provide a theoretical basis for production experiments.

3

Size‑dependent constitutive model incorporating grain refinement and martensitic transformation

Liu Shengqiang, Li Wei, Shen Jinxia, Yang Xiaoming, Wang Baoyu, Liu Jinping

Archives of Civil and Mechanical Engineering

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2023

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Vol. 23, no. 1

art. no. e38, 2023

EN

The deformation behaviour of materials at the micro-scale level is different from that at the macro-scale level due to the effect of grain size (GS). The mechanism of the influence on martensitic transformation by GS is still unclear, and there are relatively few studies on the relationship between grain refinement and martensitic transformation, most of which focus on the relationship between the initial GS of the material and martensitic transformation. Therefore, in this study, the interaction between grain refinement and martensitic transformation was investigated using a dislocation density-based multiscale constitutive model that incorporated dislocation sliding, strain-induced martensitic transformation (SIMT) related to grain size, and grain refinement. The proposed model evaluated the GS-dependent deformation behaviour of 316L stainless steel (SS). Subsequently, a genetic algorithm was used to determine the parameters of the established model, and the calculated results were compared with that of the experimental data to verify the accuracy of the model. The developed multiscale constitutive model was implemented in Abaqus user subroutine to further investigate the deformation mechanism and validate its accuracy. The results demonstrated that the GS had a significant effect on the SIMT, with the volume fraction of martensite increasing with a rise in the initial austenite GS. In addition, grain refinement affected SIMT and the growth rate of martensite content decreased with the grain refinement caused by deformation. The formation of martensite led to grain refinement, with the refined grains producing negative feedback on the SIMT, thus inhibiting the occurrence of martensitic transformation. This study revealed the microscopic deformation mechanism of 316L SS and provided a constitutive model for micro-forming.

4

New constitutive model based on disturbed state concept for shear deformation of rock joints

Xie Shijie, Lin Hang, Chen Yifan

Archives of Civil and Mechanical Engineering

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2023

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Vol. 23, no. 1

art. no. e26, 2023

EN

The mechanical behavior and constitutive relation of rock joints have caught more and more attention in the field of geotechnical engineering. The disturbed state concept (DSC) theory offers a powerful tool for building a constitutive model to interpret the mechanical response of geomaterials. In this paper, a new constitutive model for joint shear deformation was developed based on the DSC theory. The characteristics of quasi-elastic phase, pre-peak hardening phase, peak shear strength, post-peak softening phase and residual strength during the whole process of joint shear deformation are considered in this model. In the framework of this shear constitutive model, the rock material was assumed to consist of two kinds of micro-units with different mechanical responses, namely the relatively intact unit and the fully adjusted unit. Subsequently, the DSC theory was used to connect the mechanical behavior of micro-units with the macroscopic joint shear deformation characteristics, and a disturbance factor was introduced to reveal the disturbed state evolution process inside the rock. In addition, the proposed DSC model was simple in form, less in parameters and reasonable in physical meaning. The model was cross-validated by experimental data of different kinds of natural joints and artificial joint replicas. Finally, the model is compared with existing models, and the model effectiveness is quantitatively evaluated through statistical indicators. The values of R2 are greater than 0.9, and the AAREP and RMSE of the proposed DSC model are closer to 0 than those of other models. The research results can provide a valuable reference for further understanding of shear deformation mechanism.

5

Mechanical behavior and constitutive model of lining concrete in triaxial compression infiltration process under pore water pressure

Xue Weipei, Jing Wei, Wang Zhongjian, Zhang Hanwen, Lin Jian

Archives of Civil and Mechanical Engineering

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2023

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Vol. 23, no. 1

art. no. e20, 2023

EN

Underground concrete structures are affected by groundwater, the effects of which are different from those of stress environments experienced by ground engineering concrete structures. This study experimentally and theoretically investigates the mechanical behavior, permeability evolution, and deformation failure mechanism of lining concrete under pore water pressure. Results show that an increase in pore water pressure promoted the coupling of seepage and stress fields in concrete. This caused the microcracks to propagate further, which led to a decrease in concrete strength and elastic modulus. Through triaxial compression infiltration, the concrete successively underwent initial compaction, linear elastic deformation, and nonlinear deformation after yielding. Accordingly, its permeability exhibited three trends: gradual decrease, stable development, and a sharp increase. The change in permeability was closely related to the number of pores and the development of microcracks in concrete. The concept of primary pore strain was proposed according to the characteristics of deformation and failure. Moreover, a triaxial compression infiltration constitutive model was derived for concrete based on the principle of effective stress. This model considers the influence of pore water pressure and the initial compaction characteristics. This study can be used to guide the design of lining concrete structures in underground engineering.

6

Development of an advanced constitutive model for spoil-structure interaction problems

Doan Nhat-Phi, Liakou Anna, Garala Thejesh Kumar, Cui Ge, Kantesaria Naman, Halder Koushik, Heron Charles M., Marshall Alec M.

Górnictwo Odkrywkowe

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2022

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R. 63, nr 3

43--50

EN

Revitalisation options for mine spoil heaps is an important issue to consider when planning for post-mining land use. One option is the installation of wind turbines on the spoil heaps, which provide a sustainable energy source. This option poses challenges for foundation design due to the nature of the spoil material, which is usually highly heterogeneous due to the way spoils are deposited, and can contain high proportions of high-plasticity cohesive soils (clay). This paper presents results obtained using an advanced constitutive model that was developed to simulate cohesive mine spoil behaviour and presents model results for the prediction of foundation response under both monotonic and cyclic loading. The model is a modified version of the original isotropic bounding surface plasticity model that additionally involves a damaged-based plastic modulus in order to realistically represent soil strength degradation induced by cyclic action. The model is used for the simulation of shallow foundations for onshore wind turbines on a cohesive clay with a heterogeneous (linearly increasing) undrained shear strength (random spatial variability is not considered). Two different loading scenarios of a shallow strip foundation are considered in the paper: a pure moment-vertical loading (M-V), and a moment-horizontal-vertical loading (M-H-V). The effect of the adopted spoil-foundation interface type is also considered: (1) a fully-bonded interface and (2) a tensionless interface. Results demonstrate that, though the vertical bearing capacity is only slightly affected by the interface properties, the moment capacity is shown to be strongly influenced by the predefined contact conditions. For the footing system under M-H-V loading, a dominant footing uplift mechanism is obtained for light structures and the opposite holds for heavily loaded structures, where significant settlement accumulation occurs during cyclic loading. Based on the analysis, the moment bearing capacity of the footing system decreases as the slenderness ratio and/or the vertical safety factor increase, and the opposite mechanism is obtained as the strength heterogeneity degree increases.

PL

Możliwości rewitalizacji zwałowisk są ważnym zagadnieniem przy planowaniu zagospodarowania terenów pogórniczych. Jedną z opcji jest instalacja na hałdach turbin wiatrowych, które stanowią zrównoważone źródło energii. Opcja ta stanowi wyzwanie dla projektowania fundamentów biorąc pod uwagę charakter materiału zwałowego, który ze względu na sposób deponowania jest zwykle wysoce niejednorodny i może zawierać dużo wysokoplastycznych gruntów spoistych (iłów). W artykule przedstawiono wyniki uzyskane przy użyciu zaawansowanego modelu konstytutywnego, który został opracowany w celu symulacji zachowania spoistego materiału zwałowego oraz zaprezentowano wyniki modelowania dla przewidywania reakcji fundamentu będącego zarówno pod obciążeniem monotonicznym jak i cyklicznym. Model jest zmodyfikowaną wersją oryginalnego izotropowego modelu plastyczności powierzchni granicznej, który dodatkowo zawiera moduł plastyczności oparty na zniszczeniu w celu realistycznego przedstawienia degradacji wytrzymałości gruntu wywołanej działaniem cyklicznym. Model jest wykorzystywany do symulacji płytkich fundamentów turbin wiatrowych na iłach spoistych o niejednorodnej (liniowo wzrastającej) wytrzymałości na ścinanie bez odpływu (nie uwzględniono losowej zmienności przestrzennej). W pracy rozpatrzono dwa różne scenariusze obciążenia płytkiej ławy fundamentowej: czyste obciążenia moment-pionowe (M-V) oraz obciążenia moment-poziome-pionowe (M-H-V). Rozważono również wpływ przyjętego rodzaju styku zwałowisko-fundament: (1) całkowicie związany oraz (2) beznaprężeniowy. Wyniki pokazują, że choć nośność pionowa tylko w niewielkim stopniu zależy od właściwości styku, to okazuje się, że nośność momentu jest silnie uzależniona od zdefiniowanych wcześniej warunków kontaktowych. Dla systemu stopy fundamentowej pod obciążeniem M-H-V, w przypadku lekkich konstrukcji uzyskuje się dominujący mechanizm unoszenia stopy, a w przypadku konstrukcji silnie obciążonych odwrotny, gdzie podczas cyklicznego obciążenia następuje znaczna akumulacja osiadań. Na podstawie przeprowadzonej analizy można stwierdzić, że nośność systemu stopy fundamentowej maleje wraz ze wzrostem współczynnika smukłości i/lub pionowego współczynnika bezpieczeństwa, a odwrotny mechanizm uzyskuje się wraz ze wzrostem stopnia niejednorodności wytrzymałości.

7

Influence of strain rate and temperature on the mechanical behaviour of additively manufactured AlSi10Mg alloy – experiment and the phenomenological constitutive modelling

Stanczak Magda, Rusinek Alexis, Broniszewska Paula, Fras Teresa, Pawłowski Piotr

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2022

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Vol. 70, nr 4

art. no. e141983

EN

The paper is related to the material behaviour of additively manufactured samples obtained by the direct metal laser sintering (DMLS) method from the AlSi10Mg powder. The specimens are subjected to a quasi-static and dynamic compressive loading in a wide range of strain rates and temperatures to investigate the influence of the manufacturing process conditions on the material mechanical properties. For completeness, an analysis of their deformed microstructure is also performed. The obtained results prove the complexity of the material behaviour; therefore, a phenomenological model based on the modified Johnson–Cook approach is proposed. The developed model describes the material behaviour with much better accuracy than the classical constitutive function. The resulted experimental testing and its modelling present the potential of the discussed material and the manufacturing technology.

8

Effects of early‑age temperature and salt ion corrosion on the macroproperty deterioration of concrete and corresponding micromechanism

Xue Weipei, Fan Hongjun, Liu Xiaoyuan, Shen Lei

Archives of Civil and Mechanical Engineering

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2022

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Vol. 22, no. 2

art. no. e98, 1--16

EN

This paper experimentally examines variations in the macroscopic properties of concrete under the interaction of early-age temperature and salt ion corrosion and investigates the microscopic mechanism of these variations from the perspective of pore structure and microcracks. The results show a prominent initial defect compaction stage of the compressive stress-strain curves of the specimens under the interaction of two factors, an increase in the number of pores and a high degree of crack development. Accordingly, the peak strength, secant elastic modulus and porosity of the specimens are greatly affected by the interaction between early-age temperature and salt ion corrosion, as reflected by the obvious deterioration trend. Based on a theoretical analysis, the concept of the initial defect strain ratio is proposed, the relationship between the total deformation and two indicators (initial defect deformation and matrix deformation) is clarified, and a constitutive model that reflects the initial defect compaction characteristics is established.

9

Constitutive modeling of rock materials considering the void compaction characteristics

Xie Shijie, Han Zhenyu, Chen Yifan, Wang Yixian, Zhao Yanling, Lin Hang

Archives of Civil and Mechanical Engineering

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2022

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Vol. 22, no. 2

art. no. e60, 1--15

EN

The study of constitutive model is of great significance to engineering safety evaluation and geological disaster prevention. In this paper, rock materials were regarded as a composite geological material composed of voids and rock matrix, and then a piecewise constitutive model bounded by the yield point was proposed. It can reflect the complete stress–strain curves of rocks, including the compaction stage, the elastic stage, the plastic yield stage and the post-peak stage. Primarily, an objective method to determine the yield point based on the stress difference was proposed. For the rock deformation before yielding, the relationship between the strain of rock materials and the strains of voids and rock matrix was analyzed to establish the corresponding constitutive model. Subsequently, based on the modified Weibull distribution, a damage statistical constitutive model of rocks was established to describe the nonlinear deformation after the yield point. Meanwhile, the determining method of model parameters was given. Finally, the uniaxial and triaxial compression test data of different types of rocks were used to verify the proposed model. The results indicate that the model curves are in good agreement with the experimental results. Hence, it is feasible and reasonable to divide the macroscopic strain of rocks into the strains of voids and rock matrix. Additionally, there is a power function attenuation relationship between the deformation ratio of voids to rock matrix and the axial stress.

10

Złożone modele konstytutywne w analizach badawczych i obliczeniach inżynierskich. Podstawy analiz zadań kontaktowych

Fedorowicz Lidia, Fedorowicz Jan

Builder

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2021

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R.25, nr 8

22--26

PL

Aby stać się w pełni świadomym użytkownikiem współczesnych systemów obliczeniowych, nasza wiedza inżynierska powinna sięgać „korzeni”, tu w zakresie mechaniki gruntów oraz modeli konstytutywnych pozwalających coraz pełniej opisywać zachowanie gruntu. W artykule przedstawiono specyfikę dwóch grup modeli gruntowych stosowanych w analizach zagadnień kontaktowych budowla-podłoże gruntowe, pokazując równocześnie ich możliwości i ograniczenia przy ocenie bazowych zagadnień geotechniki. Zwrócono uwagę na warunki prawidłowej budowy modelu obliczeniowego podłoża. Pokazano zalety modelu stanu krytycznego MCC, ze zwróceniem uwagi na związek prawidłowej oceny stanu in situ podłoża z wynikami przeprowadzonej analizy.

EN

Basics of analysis of contact tasks. In order to become a fully conscious user of modern computing systems, our engineering knowledge should reach the "roots", here in the field of soil mechanics and constitutive models, allowing for a more and more complete description of soil behavior. The article presents the specificity of two groups of soil models used in the analysis of the contact tasks: building structure - subsoil; showing at the same time their possibilities and limitations in the assessment of the basic issues of geotechnics. The conditions for the correct construction of the computational model of the subsoil have been taken into account. The advantages of the MCC critical state model are shown, with attention being paid to the relationship between the correct in situ state assessment of the substrate and the results of the analysis.

11

Analizy bezpieczeństwa konstrukcji budowlanych ulegających degradacji na podłożach górniczych. Część 2. Obliczenia numeryczne

Fedorowicz Lidia, Fedorowicz Jan

Builder

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2021

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R.25, nr 8

16--21

PL

Wobec założeń upraszczających stosowanych w tradycyjnych metodach oceny bezpieczeństwa konstrukcji na podłożach ulegających deformacjom górniczym wielokrotnie podejmowano próby pełniejszego sformułowania rozważanego zagadnienia brzegowego. Uzyskany rozwój w tej dziedzinie jest wynikiem badań nad reologią zjawiska deformacji poeksploatacyjnych oraz prac dotyczących rozbudowy modeli opisujących zachowanie deformującego się podłoża gruntowego oraz współpracującej z nim budowli. W artykule przedstawiono współczesne tendencje rozwoju numerycznego modelowania zagadnień brzegowych budowla-podłoże górnicze z odniesieniem do doświadczeń własnych autorów oraz przeprowadzonych analiz obliczeniowych wykorzystujących w opisie zaawansowane związki konstytutywne. Pokazano, w jaki sposób jakość i dokładność analiz obliczeniowych związana jest z budową geometryczną modelu MES oraz sprzęgnięta z wymogami parametrycznymi stosowanych modeli konstytutywnych.

EN

In view of the simplifying assumptions used in traditional methods of assessing the safety of structures in mining areas, many attempts have been made to formulate the boundary problem under consideration. The development obtained in this field results from research on the rheology of the post-exploitation deformations and works on the models describing the behavior of the deforming subsoil and structures cooperating with it. The article presents contemporary trends in the development of numerical modeling of boundary issues: building-mining subsoil; with reference to the authors' own experiences and the computational analyzes carried out, using advanced constitutive relationships in the description. It shows how the quality and accuracy of computational analyzes is related to the geometric structure of the FEM model and coupled with the parametric requirements of the constitutive models used.

12

Constitutive modeling of softening mechanism and damage for Ti–6Al–4V alloy and its application in hot tensile simulation process

Yang Xiaoming, Wang Baoyu, Zhou Jing, Xiao Wenchao, Feng Pengni

Archives of Civil and Mechanical Engineering

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2021

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Vol. 21, no. 2

479--491

EN

In this paper, a unified viscoplastic constitutive model for Ti–6Al–4V alloy coupling with damage and softening mechanisms was established to predict the flow behaviors and damage evolution in hot tensile process. To obtain the flow behaviors of Ti–6Al–4V alloy, the hot tensile tests were performed at temperatures between 750 °C and 850 °C and strain rates of 0.01–1 s−1. Then the evolution of microstructure was investigated by scanning electron microscope (SEM) under hot tensile conditions. Otherwise, the macro-fracture morphology of the tensile specimen was observed by SEM. The flow stress and microstructure evolution were predicted based on the set of constitutive model. The constitutive model was embed in ABAQUS by coding a user-defined material subroutine. The results show that the flow stress increases with the temperature decreasing and the strain rate increasing. By comparing the experimental and calculated results, the flow stress and damage evolution can be accurately predicted by the constitutive model. The fracture due to damage can be well predicted by the simulation model, indicating the good predictability of the constitutive model.

13

Study on nonlinear constitutive model of skin under compression load over a wide range of strain rates

Zhang Xiaoping, Wen Cun, Tang Chengli, Liu Susu, Wen Yaoke, Wang Yaping, Bao Zhenyu, Luo Shaomin

Acta of Bioengineering and Biomechanics

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2021

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Vol. 23, no. 4

161--171

EN

Purpose: In wound ballistics, skin has obvious blocking effect in the biological target penetration of projectiles. An analytical description of skin mechanical properties under compression can set the basis for the numerical simulation and the evaluation of blocking effect. Methods: In this study, an improved three-parameter solid visco-elastic model was proposed to describe the skin creep phenomenon. And then combined with Maxwell and Ogden model, a new nonlinear skin constitutive model, consisting of hyper-elastic unit, creep unit and relaxation unit in parallel, was established. Here, we examine the material properties of freshly harvested porcine skin in compression at strain rates from 0.01/s to 4000/s. Results: The model is verified by comparison with the experimental results by our test and that in the literature at different strain rates. Conclusions: It shows that calculated results of the constitutive model agree well with the experiment data at extremely low to high strain rates, which is useful for the description of the heterogeneous, nonlinear viscoelastic, relaxation and creep mechanical response of skin under compression.

14

Mechanical guidelines on the properties of human healthy arteries in the design and fabrication of vascular grafts: experimental tests and quasi-linear viscoelastic model

Faturechi Rahim, Hashemi Ata, Abolfathi Nabiollah, Solouk Atefeh

Acta of Bioengineering and Biomechanics

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2019

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Vol. 21, no. 3

13--21

EN

Knowledge of mechanical behavior of healthy human arteries as the guidelines to target properties of vascular grafts deserves special attention. There is a lack of mathematical model to characterize mechanical behavior of biomaterial while many mathematical models to reflect mechanics of human arteries have been proposed. The objective of this paper was set to measure mechanical properties of healthy human arteries including Common Carotid Artery (CCA), Abdominal Aorta Artery (AAA), Subclavian Artery (SA), Common Iliac Artery (CIA) and Right and Left Iliac Artery (RIA and LIA) and compare them to those of commercial ePTFE and Dacron®. Methods: Series of stress relaxation and strain to failure tests vere performed on all samples. The experimental data was utilized to develop quasi-linear viscoelastic (QLV) model of both natural and artificial arteries. Results: ePTFE is the stiffest sample, while the CCA is the most compliant one among all. RIA and CIA are more viscous than the other natural arteries, while AA and CCA are less viscous. The proposed model demonstrated an accurate fit to the experimental results, a proof of its ability to model both nonlinear elasticity and viscoelasticity of the human arteries and commercial ones. Conclusions: ePTFE and Dacron® are much stiffer than human arteries that may lead to the disruption of blood hemodynamic and may not be biomechanically feasible as a replacement.

15

Hysteretic behaviour model of soils under cyclic loads

Galindo Rubén, Patiño Hernán, Melentijevic Svetlana

Acta Geophysica

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2019

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Vol. 67, no. 4

1039--1058

EN

The article reports the application of the mathematical theory of hysteresis to soil dynamics to characterise its behaviour under the action of cyclic loads. Based on appropriate laboratory experiments for a given soil, the achieved values were verified in simulations. The cycle shapes of stress–strain shear response for all strain levels and different combinations of static and cyclic shear stress loading were replicated. For proper characterisation in the case of repeated loads, the model incorporates the phenomenon of degradation of the structure and generation of excess pore pressure in considering its continuous variation throughout the loading process using an energy approach. The model is defined by parameters with physical interpretations that are evident from the tests.

16

Nieliniowo lepkosprężyste równanie konstytutywne gąbczastej tkanki kostnej i identyfikacja stałych materiałowych

Pawlikowski M., Jankowski K., Kokot G., Skalski K., Makuch A.

Inżynieria Powierzchni

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2018

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nr 1

12--17

PL

W pracy sformułowano nowe równanie konstytutywne dla gąbczastej tkanki kostnej człowieka. Zapostulowano funkcję energii odkształcenia, która opisuje sprężystą odpowiedź tkanki na obciążenie. W modelu konstytutywnym uwzględniono także nieliniową lepkosprężystość. Stałe materiałowe w równaniu konstytutywnym zidentyfikowano na podstawie wyników testów relaksacji naprężeń i monotonicznego ściskania metodą dopasowania krzywych. Wykorzystano tutaj algorytm Levenberga-Marquardta metody najmniejszych kwadratów. Na podstawie testów relaksacji zidentyfikowano wartości czasów relaksacji, natomiast na podstawie testów monotonicznego ściskania określono stałe sprężyste i lepkosprężyste. Testy były wykonane w temperaturze pokojowej na prostopadłościennych próbkach kości gąbczastej uzyskanych z główek kości udowej podczas operacji wszczepienia endoprotezy stawu biodrowego.

EN

In the paper a new constitutive equation for human cancellous bone tissue was formulated. A strain energy function was postulate, which describes the elastic response of the tissue to the load. The nonlinear viscoelasticity was also taken into account in the constitutive model. The material constants in the constitutive equation were identified on the basis of the results of stress relaxation tests and monotonic compression tests using the curve fitting method. The Levenberg-Marquardt algorithm of the least square method was used here. On the basis of the relaxation tests, the values of relaxation times were identified, while the elastic and viscoelastic constants were determined on the basis of monotonic compression tests. The tests were performed at room temperature. On the cuboidal samples of cancellous bone obtained from femoral heads during the surgeries of hip joint prosthesis implantation.

17

Mechanical properties variation and constitutive modelling of biomedical polymers after sterilization

Zanelli L., Todros S., Carniel E. L., Pavan P. G., Natali A. N.

Acta of Bioengineering and Biomechanics

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2017

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Vol. 19, no. 3

3--9

EN

Purpose: In this work, the mechanical behavior of two block copolymers for biomedical applications is studied with particular regard to the effects induced by a steam sterilization treatment that biomedical devices usually undergo in healthcare facilities. This investigation is aimed at describing the elasto-plastic behavior of the stress-strain response, determining a functional dependence between material constitutive parameters, to obtain an optimal constitutive model. Methods: The mechanical properties of these polymers are analyzed through uniaxial tensile tests, before and after the sterilization process. The effect of sterilization on the mechanical behavior is evaluated. The Ramberg-Osgood model is used to describe the elasto-plastic behavior of the stress-strain response. Results: Data from uniaxial tensile tests are discussed in the light of previous data on the same polymeric materials, in order to highlight the correlation between physicochemical and mechanical properties variation. The material constitutive parameters are determined and the functional dependence between them is found, thus enabling an optimal constitutive model to be obtained. Conclusions: The effect of sterilization on the material constitutive parameters is studied, to evaluate the suitability of the model in describing the mechanical response of biomedical polymer before and after sterilization treatment. The same approach can be applied to other biomaterials, under various tensile tests, and for several processes that induce variation in mechanical properties.

18

Experimental testing and constitutive modeling of the mechanical properties of the swine skin tissue

Łagan S. D., Liber-Kneć A.

Acta of Bioengineering and Biomechanics

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2017

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Vol. 19, no. 2

93--102

EN

The aim of the study was an estimation of the possibility of using hyperelastic material models to fit experimental data obtained in the tensile test for the swine skin tissue. Methods: The uniaxial tensile tests of samples taken from the abdomen and back of a pig was carried out. The mechanical properties of the skin such as the mean Young’s modulus, the mean maximum stress and the mean maximum elongation were calculated. The experimental data have been used to identify the parameters in specific strain-energy functions given in seven constitutive models of hyperelastic materials: neo-Hookean, Mooney–Rivlin, Ogden, Yeoh, Martins, Humphrey and Veronda–Westmann. An analysis of errors in fitting of theoretical and experimental data was done. Results: Comparison of load –displacement curves for the back and abdomen regions of skin taken showed a different scope of both the mean maximum loading forces and the mean maximum elongation. Samples which have been prepared from the abdominal area had lower values of the mean maximum load compared to samples from the spine area. The reverse trend was observed during the analysis of the values of elongation. An analysis of the accuracy of model fitting to the experimental data showed that, the least accurate were the model of neo- -Hookean, model of Mooney–Rivlin for the abdominal region and model of Veronda–Westmann for the spine region. Conclusions: An analysis of seven hyperelastic material models showed good correlations between the experimental and the theoretical data for five models.

19

Statistical damage constitutive model for rocks subjected to cyclic stress and cyclic temperature

Zhou S. W., Xia C.-C., Zhao H. B., Mei S. H., Zhou Y.

Acta Geophysica

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2017

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Vol. 65, no. 5

893--906

EN

A constitutive model of rocks subjected to cyclic stress–temperature was proposed. Based on statistical damage theory, the damage constitutive model with Weibull distribution was extended. Influence of model parameters on the stress–strain curve for rock reloading after stress–temperature cycling was then discussed. The proposed model was initially validated by rock tests for cyclic stress–temperature and only cyclic stress. Finally, the total damage evolution induced by stress–temperature cycling and reloading after cycling was explored and discussed. The proposed constitutive model is reasonable and applicable, describing well the stress–strain relationship during stress–temperature cycles and providing a good fit to the test results. Elastic modulus in the reference state and the damage induced by cycling affect the shape of reloading stress–strain curve. Total damage induced by cycling and reloading after cycling exhibits three stages: initial slow increase, mid-term accelerated increase, and final slow increase.

20

Model konstytutywny skrępowanego ściskania fibrobetonu

Zaborski A.

Cement Wapno Beton

|

2016

|

R. 21/83, nr 1

46--52

PL

Beton zbrojony włóknami wykazuje szereg korzystnych właściwości mechanicznych. Zarówno jego wytrzymałość jak i odkształcalność znacznie wzrastają, w przypadku stosowania tego kompozytu wraz z dodatkowym, krępującym zbrojeniem obwodowym. W artykule przedstawiono analityczny model uogólnionego związku naprężenie-odkształcenie, opartego na dostępnych w literaturze badaniach doświadczalnych. Zaproponowane równanie pozwala na oszacowanie zależności krzywizny pręta zbrojącego od momentu zginającego, w warunkach skrępowanej pracy elementu betonowego.

EN

Fiber reinforced concrete offers several mechanical benefits. The material strength and deformability are highly increased when the material is used with restricting passive confinement. In this paper, an analytical model for general stress-strain behavior in compression is presented, based on available in literature experimental data. Postulated formula is further used to predict bending moment-curvature relationship for confined fiber reinforced concrete.