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1
Content available The reflection and transmission of waves at interface between two nonlocal orthotropic thermoelastic halfspaces
Tung D. X.
Archives of Mechanics
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2022
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Vol. 74, nr 5
373--389
EN
The present article deals with the propagation of inhomogeneous waves in an orthotropic medium based on Eringen’s nonlocal thermoelasticity. For chosen directions of propagation and a real finite inhomogeneity parameter, a complex slowness vector is specified to define the propagation of inhomogeneous incident wave. Then the reflection, transmission of plane waves at a plane interface between two nonlocal orthotropic thermoelastic halfspaces are discussed. In this incidence, horizontal slowness determines the slowness vectors for all reflected, transmitted waves. For each reflected, transmitted wave, the corresponding slowness vector is resolved to define its phase direction, phase velocity and attenuation angle. Appropriate boundary conditions on this wave-field determine the amplitude ratios for reflected, transmitted waves relative to the incident wave. The numerical examples are provided to show the effect of the inhomogeneity of incident wave, nonlocal parameter on the propagation characteristic of the reflected, transmitted waves.
2
Content available remote Estimation of the torsional rigidity of orthotropic solid cross section
Ecsedi István, Baksa Attila
Engineering Transactions
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2021
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Vol. 69, iss. 2
211--221
EN
In this paper, two inequality relations are proven for the torsional rigidity of orthotropic elastic solid cross sections. By using the derived inequality relations, lower and upper bounds can be obtained for the torsional rigidity. All results of the paper follow from the Saint-Venant theory of uniform torsion. The presented bounding formulae are based on the mean value theorem of integral calculus.
3
Content available Wave propagation in nonlocal orthotropic micropolar elastic solids
Tung D. X.
Archives of Mechanics
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2021
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Vol. 73, nr 3
237--251
EN
The presented paper is concerned with the propagation of Rayleigh waves in an orthotropic nonlocal micropolar elastic half-space. The main aim of the paper is to derive dispersion equations of Rayleigh wave as well as Stroh formalism for the orthotropic nonlocal micropolar medium. Based on the obtained dispersion equation, the effect of material, nonlocality parameter on the Rayleigh wave propagation is considered through some numerical examples.
4
Content available remote Reflection of PlaneWaves at Micropolar Piezothermoelastic Half-space
Kumar R., Sharma N., Lata P., Marin M.
Computational Methods in Science and Technology
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2018
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Vol. 24, No. 2
113--124
EN
A problem of reflection at a free surface of micropolar orthotropic piezothermoelastic medium is discussed in the present paper. It is found that there exist five type plane waves in micropolar orthotropic piezothermoelastic medium, namely quasi longitudinal displacement wave (quasi LD wave), quasi thermal wave (quasi T wave), quasi CD-I, quasi CD-II wave and electric potential wave (PE wave). The amplitude ratios corresponding to reflected waves are obtained numerically. The effect of angle of incidence and thermopiezoelectric interactions on the reflected waves are studied for a specific model. Some particular cases of interest are also discussed.
5
Content available Modele numeryczne uwzględniające tarczową pracę pokrycia dachowego z blach trapezowych
Korcz N.
Czasopismo Inżynierii Lądowej, Środowiska i Architektury / Journal of Civil Engineering, Environment and Architecture
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2017
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z. 64, nr 4/I
213--228
PL
W artykule porównano wybrane sposoby uwzględniania w modelowaniu numerycznym tarczowej pracy pokrycia dachowego z blachy trapezowej, możliwe do zrealizowania w programie Autodesk Robot Structural Analysis Professional 2015, w celu oceny słuszności stosowania ich do obliczeń konstrukcji nośnej współpracującej z poszyciem z blachy trapezowej. Analizy przeprowadzono dla pojedynczej przepony. Za pomocą powłokowych elementów skończonych zbudowano dwa typy modeli blachy trapezowej. Uwzględniono podatność połączeń występujących w konstrukcji, wykorzystując pomocnicze belkowe elementy skończone. Wartości podatności na ścinanie paneli uzyskane numerycznie odniesiono do wyników otrzymanych na podstawie znanych procedur analitycznych. Miarą trafności modelu poszycia był poziom zgodności ww. wartości podatności na ścinanie. Zgodnie z tym kryterium wskazano model, który poprawniej odzwierciedla współpracę pokrycia z blachy trapezowej z konstrukcją nośną.
EN
The paper presents the comparison of selected numerical models of trapezoidal cladding acting as a diaphragm which can be used in computer program called Autodesk Robot Structural Analysis Professional 2015. The aim of the analyses was to evaluate the validity of using these models in calculations of the structure including the stressed skin effect. The analyses were carried out for the cantilevered diaphragm as a part of the roof of the single storey steel building. Corrugated sheets were replaced by two types of equivalent orthotropic shell models and the influence of the choice of the model on the stiffness of the diaphragm was observed. Fasteners and connections were substituted by equivalent beam finite elements and their flexibility was included in the calculations. 230 N. Korcz The evaluation of numerical models of trapezoidal sheeting was contingent upon the degree of the agreement between numerical and analytical results of the shear flexibility of analyzed diaphragms, calculated according to [2]. In compliance with this criterion, more accurate numerical model of trapezoidal cladding acting as a diaphragm was pointed.
6
Content available remote Anizotropia mikrostruktury płaszcza cementowego w aspekcie homogeniczności świeżego zaczynu cementowego
Kremieniewski M.
Nafta-Gaz
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2016
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R. 72, nr 11
919--925
PL
Skuteczność izolowania stref przepuszczalnych w przestrzeni pozarurowej oraz międzyrurowej zależy w głównej mierze od rodzaju zastosowanego zaczynu uszczelniającego oraz jego właściwości reologicznych. W związku z tym niezbędne jest modyfikowanie oraz projektowanie innowacyjnych receptur zaczynów, które będą spełniały szereg wymagań. Ważnym czynnikiem po zatłoczeniu zaczynu cementowego jest uzyskanie jednorodnej struktury płaszcza cementowego, na której utworzenie znacznie wpływa homogeniczność świeżego (płynnego) zaczynu uszczelniającego. W publikacji omówiono wpływ jednorodności oraz związanej z nią stabilności sedymentacyjnej zaczynu na anizotropię mikrostruktury tworzącego się płaszcza cementowego. Zaprezentowano wyniki badań mikrostruktury płaszcza cementowego powstałego z zaczynu zmodyfikowanego w celu uzyskania homogenicznej struktury oraz porównano je z parametrami płaszcza cementowego, wźktórym widoczne są niejednorodności rozpatrywanego ośrodka.
EN
The effectiveness of the isolation of permeable zones in annular space is largely dependent on the type of the applied cement slurry. Therefore, it is necessary to modify and design innovative slurries which will meet a series of requirements. An important factor is to obtain a homogeneous structure of the cement sheath after slurry displacement which significantly impacts the homogeneity of the fresh (liquid) slurry. The publication discusses the impact of homogeneity and related sedimentation stability of the slurry on the anisotropy of the cement sheath microstructure. Test results are presented, of the cement sheath microstructure based on slurry, modified to obtain a homogeneous structure and compared with the parameters of the cement sheath, wherein were the visible inhomogeneities in the considered medium.
7
Content available remote Experimental and Numerical Investigation on Compression Orthotropic Properties of Spruce Wood in Axial and Transverse Loading Directions
Zhong W, Rusinek A., Jankowiak T., Huang X., Abed F.
Engineering Transactions
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2014
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Vol. 62, iss. 4
381–-401
EN
Compression tests on spruce wood in axial, radial and tangential directions have been performed using an INSTRON hydraulic machine. Spruce elastic mechanical properties and plastic deformation behaviour are presented. Experimental results allow to demonstrate different spruce failure modes: fibers buckling and collapsing are noticed under axial compression whereas, fibers slippage and delamination are the main failure modes under compression loading in radial and tangential directions. Spruce energy absorption efficiency and ideality energy absorption efficiency in the three loading directions are also analyzed. Representative volume element (RVE) model is adopted assuming transverse isotropic behavior to simulate wood microstructure in all directions. It was shown that micro-cell arrangement leads to wood macromechanical property spatial anisotropy. Porosity and hole shape effects on simulation results are estimated by RVE models with hexagon, circle, pentagon and square holes.
8
Content available remote Fundamental Solution for the Plane Problem in Magnetothermoelastic Diffusion Media
Kumar R., Chawla V.
Computational Methods in Science and Technology
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2013
|
Vol. 19, No. 4
195--207
EN
The aim of the present paper is to study the fundamental solution in orthotropic magneto- thermoelastic diffusion media. With this objective, firstly the two-dimensional general solution in orthotropic magnetothermoelastic diffusion media is derived. On the basis of thegeneral solution, the fundamental solution for a steady point heat source in an infinite and a semiinfinite orthotropic magnetothermoelastic diffusion material is constructed by four newly introduced harmonic functions. The components of displacement, stress, temperature distribution and mass concentration are expressed in terms of elementary functions. From the present investigation, some special cases of interest are also deduced and compared with the previously obtained results. The resulting quantities are computed numerically for infinite and semi-infinite magnetothermoelastic material and presented graphically to depict the magnetic effect.
9
Content available Contact interaction of rigid stamp and infinite orthotropic plate with close to elliptical hole
Kotsyuba A.
Acta Mechanica et Automatica
|
2013
|
Vol. 7, no. 4
230--235
EN
Numerical method of finding the contact stresses under the stamp of complex shape for the case of orthotropic plates with close to an elliptical hole, which based on constructed in Bozhydarnik et al., (2007) algorithm, is developed. The distribution of contact stresses under the stamp, which shape matches the shape of the hole, is investigated
10
Effect of hydrostatic initial stress in orthotropic generalized thermoelastic half-space
Ailawalia P.
Journal of Technical Physics
|
2009
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Vol. 50, no 4
417-431
EN
The present problem is concerned with the deformation of an orthotropic thermoelastic medium with hydrostatic initial stress, under the influence of mechanical/thermal source acting on the plane surface. The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress and temperature distribution. The numerical results are given and presented graphically for the LORD-SHULMAN theory of thermoelasticity [1] when mechanical/thermal source is applied. Comparisons are made in the presence and absence of hydrostatic initial stress and anisotropy.
11
Content available remote Rayleigh waves speed in transversely isotropic material
Rehman A., Khan A., Ali A.
Engineering Transactions
|
2006
|
Vol. 54, iss. 4
323-328
EN
Rayleigh wave speed in transversely isotropic material is studied. A very simple technique is adopted to solve the secular equation. Speed in some transversely isotropic materials is calculated.
12
Content available remote Deformation due to time harwortic source in orthotropic micropolar viscoelastic medium
Kumar R., Choudhary S.
International Journal of Applied Mechanics and Engineering
|
2005
|
Vol. 10, no 4
617-629
EN
The present study is concerned with the plane strain problem in a homogeneous orthotropic micropolar viscoelastic solid. The disturbance due to a time harmonic uniformly distributed source is investigated by employing the eigen-value approach. The integral transforms have been inverted by using a numerical technique to obtain the component of displacement, force stress and couple stress in the physical domain. The results of these quantities are given and illustrated graphically.
13
Content available remote Influence and Green's functions for orthotropic micropolar continua
Kumar R., Choudhary S.
Archives of Mechanics
|
2002
|
Vol. 54, nr 3
185-198
EN
The article reports on a methodology to synthesize the response of orthotropic micropolar half-space subjected to concentrated and distributed loads. The disturbance due to normal and tangential loads are investigated by employing the eigenvalue approach. The integral transforms have been inverted by using a numerical technique to obtain the normal displacement, normal force stress and tangential couple stress in the physical domain. The results concerning these quantities are given and illustrated graphically.
14
A pair of equal collinear interfacial griffith cracks
Das S., Patra B.
Applied Mechanics and Engineering
|
1999
|
Vol. 4, no 1
97-112
EN
The plane strain problem of determining stress intensity factors and crack energy for a pair of equal collinear moving Griffith cracks situated at the interface of two bonded dissimilar orthotropic half planes has been considered. The problem is reduced to solving a pair of simultaneous singular integral equations which have finally been solved by using Jacobi polynomials. Expressions for stress intensity factors and crack energy are obtained for some particular cases and the results are presented graphically.
15
Interaction between three line cracks in a sandwiched orthotropic layer
Das S., Patra B.
Applied Mechanics and Engineering
|
1998
|
Vol. 3, no 2
249-269
EN
The paper deals with the interaction between three coplanar Griffith cracks located symmetrically in the mid plane of an orthotropic elastic layer of finite thickness 2h sandwiched between two identical orthotropic half planes. The Fourier Transform Technique is used to reduce the elastostatic problem to the solution of a set of integral equations which have been solved by using the finite Hilbert transform technique and Cook's result. The analytical expressions for the stress intensity factors and stress magnification factors at the crack tips are obtained for large h. Numerical results for stress intensity factors and stress magnification factors have been illustrated graphically.
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