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Abstrakty
The objective of this study is to present a numerical modeling of mixed-mode fracture in isotropic functionally graded materials (FGMs), under mechanical and thermal loading conditions. In this paper, a modified displacement extrapolation technique (DET) was proposed to calculate the stress intensity factor (SIFs) for isotropic FGMs. Using the Ansys Parametric Design Language APDL, the continuous variations of the material properties are incorporated by specified parameters at the centroid of each element. Three numerical examples are presented to evaluate the accuracy of SIFs calculated by the proposed method. Comparisons have been made between the SIFs predicted by the DET and the available reference solutions in the current literature. A good agreement is obtained between the results of the DET and the reference solutions.
Rocznik
Tom
Strony
12--19
Opis fizyczny
Bibliogr. 55 poz., rys., tab.
Twórcy
autor
- Materials and Reactive Systems Laboratory, Mechanical Engineering Department, University of Sidi-Bel-Abbes (22000), bp. 89, city Larbi Ben Mhidi, Algeria
autor
- Materials and Reactive Systems Laboratory, Mechanical Engineering Department, University of Sidi-Bel-Abbes (22000), bp. 89, city Larbi Ben Mhidi, Algeria
Bibliografia
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- [8] Guo L.C., Wu L.Z., Zeng T., Ma L., Mode I crack problem for a functionally graded orthotropic strip, Eur J Mech A-Solid, 23 (2004) 219-234.
- [9] Boulenouar A., Numerical study of the fracture behavior of a FGM circular disk, Journal of Mineral and Material Science (JMMS) (2020) accepted.
- [10] Hebbar I., Boulenouar A., Ait Ferhat Y., Two-dimensional fracture analysis of FGM under mechanical loading, J. Mater. Eng. Struct, 7(2) (2020)241-252.
- [11] Shojaee S., Daneshmand A., Crack analysis in media with orthotropic Functionally Graded Materials using extended Isogeometric analysis, Eng. Fract. Mech, 147 (2015) 203-227.
- [12] Martinez-Paneda E., Gallego R., Numerical analysis of quasistatic fracture in functionally graded materials, Int J Mech Mater Des, 11 (2015) 405-424.
- [13] Benamara N., Boulenouar A., Aminallah M., Strain Energy Density Prediction of Mixed-Mode Crack Propagation in Functionally Graded Materials, Period. Polytech. Mech. Eng, 61(1) (2017) 60-67.
- [14] Benamara N., Boulenouar A., Aminallah M., Benseddiq N., On the mixed-mode crack propagation in FGMs plates: comparison of different criteria, Struct Eng Mech. 615 (3) (2017) 371-379.
- [15] Chafi M., Boulenouar A., A numerical modelling of mixed mode crack initiation and growth in functionally graded materials, Mater. Res, 22(3) (2019) 1-15.
- [16] Eskandari H., Stress Intensity Factors for Crack Located at an Arbitrary Position in Rotating FGM Disks, Jordan j. mech. ind.eng, 8(1) (2014) 27-34.
- [17] Garg S., Pant M., Numerical simulation of adiabatic and isothermal cracks in functionally graded materials using optimized element-free Galerkin method, J. Therm. Stresses, 40(7) (2017) 1-20.
- [18] Shafiei N., Mirjavadi S.S., Afshari B.M., Rabby S., Hamouda A.M.S., Nonlinear thermal buckling of axially functionally graded micro and nanobeams,Compos Struct, 168 (2017) 428-439.
- [19] Azimi M., Mirjavadi S.S., Shafiei N., Hamouda A.M.S., Davari E.,Vibration of rotating functionally graded Timoshenko nano- beams with nonlinear thermal distribution, Mech Adv Mat Struc, 25(6) (2017) 467-480.
- [20] Yildirim B., An equivalent domain integral method for fracture analysis of functionally graded materials under thermal stresses, J. Therm. Stresses, 29 (2006) 371-397.
- [21] Dag S., Mixed-mode fracture analysis of functionally graded materials under thermal stresses: a new approach using Jk-integral, J. Therm. Stresses, 30 (2007) 269-296.
- [22] Yildirim B., Dag S., Erdogan F., Three dimensional fracture analysis of FGM coatings under thermomechanical loading, Int. J. Fract, 132 (2005) 369-395.
- [23] Chen J., Wu L., Du S., A modified J integral for functionally graded materials, Mech. Res. Commun, 27(3) (2000) 301-306.
- [24] KC A., Kim J.H., Interaction integrals for thermal fracture of functionally graded materials, Eng. Fract. Mech, 75 (2008) 2542-2565.
- [25] Rangaraj S., Kokini K., A Study of Thermal Fracture in Functionally Graded Thermal Barrier Coatings Using a Cohesive Zone Model, J. Eng. Mater. Technol, 126(1) (2004)103-115.
- [26] Jin Z.H., Paulino G.H., Transient thermal stress analysis of an edge crack in a functionally graded material,Int. J. Fract, 107(2001) 73-98.
- [27] Dag S., Arman E., Yildirim B., Computation of thermal fracture parameters for orthotropic functionally graded materials using Jk-integral,Int J Solids Struct, 47 (2010) 3480-3488.
- [28] Yildirim B., Erdogan F., Edge crack problems in homogeneous and functionally graded materials under thermal barrier coatings under uniform thermal loading, J. Therm. Stresses, 27(4) (2004) 311-329.
- [29] Kosker S., Dag S., Yildirim B., Three Dimensional Modeling of Inclined Surface Cracks in FGM Coatings, Mater Sci Forum, 631-632 (2010) 109-114.
- [30] Dag S., Thermal fracture analysis of orthotropic functionally graded materials using an equivalent domain integral approach, Eng. Fract. Mech, 73 (2006) 2802-2828.
- [31] Azimi M., Mirjavadi S.S., Shafiei N., Hamouda, A.M.S., Thermo-mechanical vibration of rotating axially functionally graded nonlocal Timoshenko beam,Appl. Phys. A, 123(2)(2017)104-123.
- [32] Jain N., Shukla A., Chona R., Asymptotic stress fields for thermo-mechanically loaded cracks in FGMs, Fatigue Fract Mech, 3(7) (2006) 78-90.
- [33] Kidane A., Vijaya B., Chalivendra VB., Shukla A., Chona R., Mixed-mode dynamic crack propagation in graded materials under thermo-mechanical loading, Eng.Fract. Mech, 77 (2010) 2864-2880.
- [34] Nami M.R., Eskandari H., Three-dimensional investigations of stress intensity factors in a thermo-mechanically loaded cracked FGM hollow cylinder, Int J Pres Ves Pip, 89 (2012) 222-229.
- [35] Takabi B., Thermomechanical transient analysis of a thickhollow FGM cylinder, Eng Sol Mech, 4 (2016) 25-32.
- [36] Walters M.C., Paulino G.H., Dodds Jr R.H., Stress-intensity factors for surface cracks in functionally graded materials under mode-I thermomechanical loading, Int J Solids Struct, 41 (2004) 1081-1118.
- [37] Moghaddam A.S., Ghajar R., Alfano M., Finite element evaluation of stress intensity factors in curved non-planar cracks in FGMs. Mech. Res. Commun. 38 (2011) 17-23.
- [38] Lee K.H., Chalivendra VB., Shukla A., Dynamic crack-tip stress and displacement fields under thermomechanical loading in functionally graded materials, J. Appl. Mech, 75(5) (2008) 1-7.
- [39] Zhang H.H., Liu S.M., Han S.Y., Fan L.F., Modeling of 2D cracked FGMs under thermomechanical loadings with the numerical manifold method, Int. J. Mech. Sci, 148 (2018) 103-117.
- [40] Moghaddam A.S., Alfano M. ,Thermoelastic analysis of surface cracks in FGMs hollow cylinders using the interaction energy integral method, Eng. Fract. Mech, 202 (2018) 103-115.
- [41] Mahbadi H., Stress Intensity Factor of Radial Cracks in Isotropic Functionally Graded Solid Cylinders. Eng. Fract. Mech, 180 (2017) 115-131.
- [42] Abotula S., Kidane A., Vijaya B., Chalivendra B., Shukla A., Dynamic curving cracks in functionally graded materials under thermo-mechanical loading, Int J Solids Struct, 49 (2012) 1637-1655.
- [43] ANSYS, Inc.Programmer's Manual for Mechanical APDL. (2009) Release 12.1.
- [44] Dag S., Thermal fracture analysis of orthotropic functionally graded materials using an equivalent domain integral approach, Eng. Fract. Mech, 73 (2006) 2802-2828.
- [45] Boulenouar A., Bendida N., Crack growth path simulation in a cement mantle of THR using crack box technique, J Theor App Mech-Pol, 57(2) (2019) 317-329.
- [46] Ait Ferhat Y., Boulenouar A., Benamara N., Benabou L., Generalized displacement correlation method for mechanical and thermal fracture of FGMs, Int J Comp Mater SciEng, 09 (1) (2020)2050004-2565.
- [47] Boulenouar A., Benseddiq N., Mazari M., Benamara N., FE model for linear elastic mixed mode loading: estimation of SIFs and crack propagation, J Theor App Mech-Pol, 52 (2014) 373-383.
- [48] Boulenouar A., Benseddiq N., Mazari M., Strain energy density prediction of crack propagation for 2D linear elastic materials, Theor Appl Fract Mec, (67-68) (2013) 29-37.
- [49] Boulenouar A., Benamara N., Merzoug M., Numerical modeling of crack propagation under mixed-mode loading, J. Sci. Technol, 7(4) (2017) 35-43.
- [50] Boulenouar A., Benseddiq N., Mazari M., Two-dimensional Numerical Estimation of Stress Intensity Factors and Crack Propagation in Linear Elastic Analysis, Eng. Technol. Appl. Sci. Res, 3 (2013) 506-510.
- [51] Benouis A., Boulenouar A., Benseddiq N., Serier B., Numerical analysis of crack propagation in cement PMMA: application of SED approach, Struct Eng Mech, 55(1) (2015) 93¬109.
- [52] Boulenouar A., Benouis A., Benseddiq N., Numerical modelling of crack propagation in cement PMMA: Comparison of different criteria, Mater. Res, 19(4) (2016) 846-855.
- [53] Merzoug M., Boulenouar A., Benguediab M., Numerical analysis of the behaviour of repaired surface cracks with bonded composite patch, Steel Compos Struct, 25 (2) (2017) 209-216.
- [54] Kim J.H., Paulino G.H., Finite element evaluation of mixed mode stress intensity factors in functionally graded materials,Int J Numer Meth Eng, 53(8) (2002) 1903-1935.
- [55] Garg S., Pant M., Numerical simulation of thermal fracture in functionally graded materials using element-free Galerkin method, Sadhana, 42(3) (2017) 417-431.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ec779d2a-fbb6-4c3e-b77d-ad901c81353e