Hybrid meshless/displacement discontinuity method for FGM Reissner's plate with cracks
•Advantages of the boundary element method and meshless approaches are inherited in the hybrid MDDM to deal with crack problems.•Cracked Reissner's plate with non homogenous media is investigated by MDDM first time.•High accurate/convergent solutions using Chebyshev polynomials can be obtained...
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| Published in | Applied Mathematical Modelling Vol. 90; pp. 1226 - 1244 |
|---|---|
| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Elsevier Inc
01.02.2021
Elsevier BV |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0307-904X 1088-8691 0307-904X |
| DOI | 10.1016/j.apm.2020.10.023 |
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| Abstract | •Advantages of the boundary element method and meshless approaches are inherited in the hybrid MDDM to deal with crack problems.•Cracked Reissner's plate with non homogenous media is investigated by MDDM first time.•High accurate/convergent solutions using Chebyshev polynomials can be obtained by the hybrid method.
Growing applications of non-homogenous media in engineering structures require the application of powerful computational tools. A novel hybrid Meshless Displacement Discontinuity Method (MDDM) for cracked Reissner's plate in Functionally Graded Materials (FGMs) is presented in this paper. The fundamental solutions of slope and deflection discontinuity for an isotropic homogenous media are chosen as a part of general solutions to create the gaps between the crack surfaces. The governing equation is satisfied by using the meshless methods such as the Meshless Local Petrov-Galerkin (MLPG) and the Point Collocation Method (PCM) with Lagrange series interpolation and mapping technique. The Stress Intensity Factors (SIFs) are evaluated analytically with the Chebyshev polynomials. The accuracy is verified by comparison of numerical and analytical results. |
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| AbstractList | Growing applications of non-homogenous media in engineering structures require the application of powerful computational tools. A novel hybrid Meshless Displacement Discontinuity Method (MDDM) for cracked Reissner's plate in Functionally Graded Materials (FGMs) is presented in this paper. The fundamental solutions of slope and deflection discontinuity for an isotropic homogenous media are chosen as a part of general solutions to create the gaps between the crack surfaces. The governing equation is satisfied by using the meshless methods such as the Meshless Local Petrov-Galerkin (MLPG) and the Point Collocation Method (PCM) with Lagrange series interpolation and mapping technique. The Stress Intensity Factors (SIFs) are evaluated analytically with the Chebyshev polynomials. The accuracy is verified by comparison of numerical and analytical results. •Advantages of the boundary element method and meshless approaches are inherited in the hybrid MDDM to deal with crack problems.•Cracked Reissner's plate with non homogenous media is investigated by MDDM first time.•High accurate/convergent solutions using Chebyshev polynomials can be obtained by the hybrid method. Growing applications of non-homogenous media in engineering structures require the application of powerful computational tools. A novel hybrid Meshless Displacement Discontinuity Method (MDDM) for cracked Reissner's plate in Functionally Graded Materials (FGMs) is presented in this paper. The fundamental solutions of slope and deflection discontinuity for an isotropic homogenous media are chosen as a part of general solutions to create the gaps between the crack surfaces. The governing equation is satisfied by using the meshless methods such as the Meshless Local Petrov-Galerkin (MLPG) and the Point Collocation Method (PCM) with Lagrange series interpolation and mapping technique. The Stress Intensity Factors (SIFs) are evaluated analytically with the Chebyshev polynomials. The accuracy is verified by comparison of numerical and analytical results. |
| Author | Wang, S.K. Zheng, H. Sladek, J. Wen, P.H. Sladek, V. |
| Author_xml | – sequence: 1 givenname: H. surname: Zheng fullname: Zheng, H. organization: School of Civil Engineering and Architecture, Nanchang University, Nanchang, China – sequence: 2 givenname: J. surname: Sladek fullname: Sladek, J. organization: Institute of Construction and Architecture, Slovak Academy of Sciences, Bratislava, Slovakia – sequence: 3 givenname: V. surname: Sladek fullname: Sladek, V. organization: Institute of Construction and Architecture, Slovak Academy of Sciences, Bratislava, Slovakia – sequence: 4 givenname: S.K. surname: Wang fullname: Wang, S.K. organization: School of Engineering and Materials Science, Queen Mary University of London, London, United Kingdom – sequence: 5 givenname: P.H. surname: Wen fullname: Wen, P.H. email: p.h.wen@qmul.ac.uk organization: School of Engineering and Materials Science, Queen Mary University of London, London, United Kingdom |
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| Cites_doi | 10.1002/nme.1620180102 10.1016/j.enganabound.2005.04.009 10.1007/s00466-005-0705-2 10.1007/s10665-004-3692-y 10.1016/0264-682X(88)90029-9 10.1090/qam/885173 10.1016/S0020-7683(97)00188-1 10.1016/j.enganabound.2014.05.006 10.1002/sapm195029190 10.1016/0045-7949(94)90072-8 10.1007/BF00033224 10.1016/j.cma.2007.01.010 10.1016/S0020-7683(01)00097-X 10.1016/j.compstruc.2004.09.013 10.1016/j.cma.2007.01.014 10.1002/nme.1620370205 10.1002/nme.1620100306 10.1016/S0013-7944(03)00021-3 10.1002/(SICI)1097-0207(19990730)45:9<1257::AID-NME629>3.0.CO;2-N 10.1007/BF00364252 10.1007/s004660050346 10.1002/fld.1650200824 10.1016/0013-7944(86)90204-3 10.1016/j.enganabound.2009.04.010 10.1023/A:1007696111995 10.1016/0020-7683(67)90032-7 10.1016/j.euromechsol.2020.104023 10.1016/S0020-7683(02)00498-5 10.1016/0045-7949(93)90189-K 10.1002/nme.4693 |
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| Keywords | Kirchhoff and Reissner plate theories Stress intensity factors Displacement discontinuity method Functionally graded materials Meshless local Petrov-Galerkin method Boundary element method |
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| References | Nayroles, Touzot, Villon (bib0017) 1992; 10 Jaswon, Maiti, Symm (bib0005) 1967; 3 Vander Weeën (bib0006) 1982; 18 Liu, Jun, Zhang (bib0019) 1995; 20 Sladek, Sladek, Atluri (bib0024) 2004; 6 Sladek, Sladek, Tanaka, Zhang (bib0025) 2005; 29 Rashed, Aliabadi, Brebbia (bib0009) 1996 Sih (bib0041) 1973 Sladek, Sladek, Zhang (bib0047) 2008 Wen, Aliabadi, Young (bib0014) 2004; 71 Sladek, Sladek, Zhang (bib0045) 2005; 51 Sladek, Sladek, Krivacek, Wen, Zhang (bib0029) 2007; 196 Dirgantara, Aliabadi (bib0010) 1999; 45 Wen, Cao, Korakianitis (bib0043) 2014; 46 Sosa, Eischen (bib0042) 1986; 25 Ehlers (bib0004) 1986; 25 Atluri, Zhu (bib0020) 1998; 3 Sladek, Sladek, Solek, Wen (bib0030) 2008; 28 Barsoum, Loomis, Stewart (bib0003) 1979; 15 Mi, Aliabadi (bib0034) 1994; 52 Kaya, Erdogan (bib0040) 1987; 45 Wen, Aliabadi (bib0015) 2005; 83 Portela, Aliabadi, Rooke (bib0033) 1993; 46 Wen, Aliabadi, Young (bib0013) 2003; 40 Guimarães, Telles (bib0027) 2009; 33 Guimarães, Telles (bib0028) 2007; 196 Crouch, Starfield (bib0035) 1983 Atluri (bib0022) 2004 Zienkiewicz, Taylor (bib0001) 1994; 2 Li, Wen (bib0044) 2014; 99 Liu (bib0026) 2010 Rashed, Aliabadi, Brebbia (bib0008) 1998; 35 Atluri, Zhu (bib0021) 1998; 22 Karam, Telles (bib0007) 1988; 5 Sladek, Sladek, Zhang (bib0023) 2004 Wen (bib0036) 1998; 5 Sladek, Sladek, Zhang (bib0046) 2005; 37 Aliabadi (bib0016) 2002; 2 Sladek, Sladek, Solek, Wen, Atluri (bib0031) 2008; 30 Barsoum (bib0002) 1976; 10 Wen, Hon (bib0032) 2007; 21 Dirgantara, Aliabadi (bib0011) 2000; 105 Dirgantara, Aliabadi (bib0012) 2000; 38 Reissner (bib0039) 1950; 29 Belytschko, Lu, Gu (bib0018) 1994; 37 Wen (bib0037) 1986; 35 Li, Sladek, Sladek, Wen (bib0038) 2020 Wen (10.1016/j.apm.2020.10.023_bib0013) 2003; 40 Wen (10.1016/j.apm.2020.10.023_bib0036) 1998; 5 Karam (10.1016/j.apm.2020.10.023_bib0007) 1988; 5 Dirgantara (10.1016/j.apm.2020.10.023_bib0012) 2000; 38 Li (10.1016/j.apm.2020.10.023_bib0044) 2014; 99 Sladek (10.1016/j.apm.2020.10.023_bib0047) 2008 Atluri (10.1016/j.apm.2020.10.023_bib0020) 1998; 3 Sladek (10.1016/j.apm.2020.10.023_bib0024) 2004; 6 Sladek (10.1016/j.apm.2020.10.023_bib0045) 2005; 51 Sladek (10.1016/j.apm.2020.10.023_bib0023) 2004 Sladek (10.1016/j.apm.2020.10.023_bib0031) 2008; 30 Portela (10.1016/j.apm.2020.10.023_bib0033) 1993; 46 Li (10.1016/j.apm.2020.10.023_bib0038) 2020 Sosa (10.1016/j.apm.2020.10.023_bib0042) 1986; 25 Zienkiewicz (10.1016/j.apm.2020.10.023_bib0001) 1994; 2 Sladek (10.1016/j.apm.2020.10.023_bib0030) 2008; 28 Aliabadi (10.1016/j.apm.2020.10.023_bib0016) 2002; 2 Dirgantara (10.1016/j.apm.2020.10.023_bib0010) 1999; 45 Guimarães (10.1016/j.apm.2020.10.023_bib0028) 2007; 196 Wen (10.1016/j.apm.2020.10.023_bib0032) 2007; 21 Kaya (10.1016/j.apm.2020.10.023_bib0040) 1987; 45 Crouch (10.1016/j.apm.2020.10.023_bib0035) 1983 Ehlers (10.1016/j.apm.2020.10.023_bib0004) 1986; 25 Rashed (10.1016/j.apm.2020.10.023_bib0008) 1998; 35 Sladek (10.1016/j.apm.2020.10.023_bib0025) 2005; 29 Nayroles (10.1016/j.apm.2020.10.023_bib0017) 1992; 10 Liu (10.1016/j.apm.2020.10.023_bib0026) 2010 Barsoum (10.1016/j.apm.2020.10.023_bib0003) 1979; 15 Reissner (10.1016/j.apm.2020.10.023_bib0039) 1950; 29 Wen (10.1016/j.apm.2020.10.023_bib0015) 2005; 83 Belytschko (10.1016/j.apm.2020.10.023_bib0018) 1994; 37 Mi (10.1016/j.apm.2020.10.023_bib0034) 1994; 52 Barsoum (10.1016/j.apm.2020.10.023_bib0002) 1976; 10 Liu (10.1016/j.apm.2020.10.023_bib0019) 1995; 20 Wen (10.1016/j.apm.2020.10.023_bib0037) 1986; 35 Jaswon (10.1016/j.apm.2020.10.023_bib0005) 1967; 3 Wen (10.1016/j.apm.2020.10.023_bib0014) 2004; 71 Atluri (10.1016/j.apm.2020.10.023_bib0021) 1998; 22 Rashed (10.1016/j.apm.2020.10.023_bib0009) 1996 Sih (10.1016/j.apm.2020.10.023_bib0041) 1973 Vander Weeën (10.1016/j.apm.2020.10.023_bib0006) 1982; 18 Guimarães (10.1016/j.apm.2020.10.023_bib0027) 2009; 33 Atluri (10.1016/j.apm.2020.10.023_bib0022) 2004 Sladek (10.1016/j.apm.2020.10.023_bib0029) 2007; 196 Wen (10.1016/j.apm.2020.10.023_bib0043) 2014; 46 Sladek (10.1016/j.apm.2020.10.023_bib0046) 2005; 37 Dirgantara (10.1016/j.apm.2020.10.023_bib0011) 2000; 105 |
| References_xml | – volume: 71 start-page: 619 year: 2004 end-page: 631 ident: bib0014 article-title: Crack growth analysis for multi-layered airframe structures by boundary element method publication-title: Eng. Fract. Mech. – volume: 2 year: 1994 ident: bib0001 publication-title: The Finite Element Method – volume: 45 start-page: 105 year: 1987 end-page: 122 ident: bib0040 article-title: On the solution of integral equations with strongly singular kernels publication-title: Q. Appl. Math. – start-page: 87 year: 2008 end-page: 106 ident: bib0047 article-title: The use of finite elements for approximation of field variables on local sub-domains in a mesh-free way, Chapter 6 publication-title: Composites with Micro – and – Nano-Structure – year: 1983 ident: bib0035 article-title: Boundary Elements in Solid Mechanics – volume: 10 start-page: 551 year: 1976 end-page: 564 ident: bib0002 article-title: A degenerate solid element for linear fracture analysis of plate bending and general shells publication-title: Int. J. Numer. Methods Eng. – volume: 99 start-page: 372 year: 2014 end-page: 390 ident: bib0044 article-title: Finite block method for transient heat conduction analysis in functionally graded media publication-title: Int. J. Numer. Eng. – volume: 33 start-page: 1152 year: 2009 end-page: 1160 ident: bib0027 article-title: The method of fundamental solutions for fracture mechanics - Reissner's plate application publication-title: Eng. Anal. Bound. Elem. – volume: 5 start-page: 89 year: 1998 end-page: 96 ident: bib0036 article-title: The calculating stress intensity factor for a rigid wedge inserted into a half-infinite crack in an orthotropic plate publication-title: Chin. J. Appl. Mech. – volume: 3 start-page: 309 year: 1967 end-page: 332 ident: bib0005 article-title: Numerical biharmonic analysis and some applications publication-title: Int. J. Solids Struct. – volume: 35 start-page: 1145 year: 1986 end-page: 1154 ident: bib0037 article-title: The solution of a displacement discontinuity for an anisotropic half-plane and its applications to fracture mechanics publication-title: Eng. Fract. Mech. – volume: 35 start-page: 2229 year: 1998 end-page: 2249 ident: bib0008 article-title: Hyper-singular boundary element formulation for Reissner plates publication-title: Int. J. Solids Struct. – volume: 38 start-page: 7769 year: 2000 end-page: 7800 ident: bib0012 article-title: Dual boundary element formulation for fracture mechanics analysis of shear deformable shells publication-title: Int. J. Solids Struct. – volume: 51 start-page: 261 year: 2005 end-page: 282 ident: bib0045 article-title: Local integro-differential equations with domain elements for the numerical solution of partial differential equations with variable coefficients publication-title: J. Eng. Math. – year: 2004 ident: bib0022 article-title: The Meshless Method (MLPG) for Domain and BIE Discretizations – volume: 25 year: 1986 ident: bib0042 article-title: Computation of stress intensity factors for plate bending vis a path of independent integral publication-title: Eng. Frat. Mech. – volume: 46 start-page: 237 year: 1993 end-page: 247 ident: bib0033 article-title: Dual boundary incremental analysis of crack propagation publication-title: Comput. Struct. – volume: 6 start-page: 309 year: 2004 end-page: 318 ident: bib0024 article-title: Meshless Local Petrov-Galerkin method for heat conduction problem in an anisotropic medium publication-title: Comput. Model. Eng. Sci. – volume: 21 start-page: 177 year: 2007 end-page: 191 ident: bib0032 article-title: Geometrically nonlinear analysis of Reissner-Mindlin plate by meshless computation publication-title: CMES: Comput. Model. Eng. Sci. – start-page: 493 year: 1996 end-page: 502 ident: bib0009 article-title: Stress and displacement boundary integral formulations for shear deformable plate bending analysis publication-title: Boundary Element Methods XVIII – volume: 5 start-page: 21 year: 1988 end-page: 27 ident: bib0007 article-title: On the boundary elements for Reisner's pate theory publication-title: Eng. Anal. – volume: 45 start-page: 1257 year: 1999 end-page: 1275 ident: bib0010 article-title: A new boundary element formulation for shear deformable shells analysis publication-title: Int. J. Numer. Methods Eng. – year: 2010 ident: bib0026 article-title: Meshfree Methods: Moving Beyond the Finite Element Method – year: 1973 ident: bib0041 article-title: Handbook of Stress Intensity Factors – volume: 15 start-page: 259 year: 1979 end-page: 280 ident: bib0003 article-title: Analysis of through crack in cylindrical shells by quarter point elements publication-title: Int. J. Fract. – volume: 30 start-page: 77 year: 2008 end-page: 97 ident: bib0031 article-title: Thermal analysis of Reissner-Mindlin shallow shells with FGM properties by the MLPG publication-title: CMES- Comput. Model. Eng. Sci. – volume: 83 start-page: 870 year: 2005 end-page: 879 ident: bib0015 article-title: Large deformation analysis of Reissner plate by boundary element method publication-title: Comput. Struct. – volume: 52 start-page: 871 year: 1994 end-page: 878 ident: bib0034 article-title: Three-dimensional crack growth simulation using BEM publication-title: Comput. Struct. – start-page: 609 year: 2004 end-page: 614 ident: bib0023 article-title: Heat conduction analysis in nonhomogeneous anisotropic solid publication-title: Computational Mechanics – volume: 46 start-page: 116 year: 2014 end-page: 125 ident: bib0043 article-title: Finite block method in elasticity publication-title: Eng. Anal. Bound. Elem. – volume: 20 start-page: 1081 year: 1995 end-page: 1106 ident: bib0019 article-title: Reproducing kernel particle methods publication-title: Int. J. Numer. Methods Eng. – volume: 196 start-page: 2681 year: 2007 end-page: 2691 ident: bib0029 article-title: Meshless Local Petrov-Galerkin (MLPG) method for Reissner-Mindlin plates under dynamic load publication-title: Comput. Methods Appl. Mech. Eng. – volume: 18 start-page: 1 year: 1982 end-page: 10 ident: bib0006 article-title: Application of the boundary integral equation method to Reissner's plate model publication-title: Int. J. Numer. Methods Eng. – volume: 37 start-page: 78 year: 2005 end-page: 85 ident: bib0046 article-title: Domain element local integral equation method for potential problems in anisotropic and functionally graded materials publication-title: Comput. Mech. – volume: 3 start-page: 187 year: 1998 end-page: 196 ident: bib0020 article-title: A new meshless local Peyrov-Galerkin (MLPG) approach to nonlinear problems in computational modelling and simulation publication-title: Comput. Model. Simul. Eng. – volume: 40 start-page: 219 year: 2003 end-page: 236 ident: bib0013 article-title: Fracture mechanics analysis of curved stiffened panels using BEM publication-title: Int. J. Solids Struct. – year: 2020 ident: bib0038 article-title: Hybrid meshless displacement discontinuity method (MDDM) in fracture mechanics: static and dynamic publication-title: Eur. J. Mech. /A Solids – volume: 25 start-page: 63 year: 1986 end-page: 77 ident: bib0004 article-title: Stress intensity factors and crack opening areas for axial through cracks in hollow cylinders under internal pressure loading publication-title: Eng. Frat. Mech. – volume: 2 year: 2002 ident: bib0016 publication-title: The Boundary Element Method – volume: 28 start-page: 57 year: 2008 end-page: 76 ident: bib0030 article-title: Thermal bending of Reissner-Mindlin plates by the MLPG publication-title: CMES-Comput. Model. Eng. Sci. – volume: 37 start-page: 229 year: 1994 end-page: 256 ident: bib0018 article-title: Element-free Galerkin method publication-title: Int. J. Numer. Methods Eng. – volume: 29 start-page: 90 year: 1950 end-page: 95 ident: bib0039 article-title: On a variational theorem in elasticity publication-title: J. Math. Phys. – volume: 29 start-page: 829 year: 2005 end-page: 843 ident: bib0025 article-title: Local integral equation method for potential problems in functionally graded anisotropic materials publication-title: Eng. Anal. Bound. Elem. – volume: 105 start-page: 27 year: 2000 end-page: 47 ident: bib0011 article-title: Crack growth analysis of plate loaded bending and tension using dual boundary element method publication-title: Int. J. Fract. – volume: 10 start-page: 307 year: 1992 end-page: 318 ident: bib0017 article-title: Generalizing the finite element method: diffuse approximation and diffuse elements publication-title: Comput. Mech. – volume: 22 start-page: 117 year: 1998 end-page: 127 ident: bib0021 article-title: A new meshless local Peyrov-Galerkin (MLPG) approach in computational mechanics publication-title: Comput. Mech. – volume: 196 start-page: 2478 year: 2007 end-page: 2485 ident: bib0028 article-title: On the numerical Green's function technique for cracks in Reissner's plates publication-title: Comput. Methods Appl. Mech. Eng. – volume: 35 start-page: 1145 issue: 5/6 year: 1986 ident: 10.1016/j.apm.2020.10.023_bib0037 article-title: The solution of a displacement discontinuity for an anisotropic half-plane and its applications to fracture mechanics publication-title: Eng. Fract. Mech. – volume: 18 start-page: 1 year: 1982 ident: 10.1016/j.apm.2020.10.023_bib0006 article-title: Application of the boundary integral equation method to Reissner's plate model publication-title: Int. J. Numer. Methods Eng. doi: 10.1002/nme.1620180102 – volume: 30 start-page: 77 issue: 2 year: 2008 ident: 10.1016/j.apm.2020.10.023_bib0031 article-title: Thermal analysis of Reissner-Mindlin shallow shells with FGM properties by the MLPG publication-title: CMES- Comput. Model. Eng. Sci. – volume: 29 start-page: 829 year: 2005 ident: 10.1016/j.apm.2020.10.023_bib0025 article-title: Local integral equation method for potential problems in functionally graded anisotropic materials publication-title: Eng. Anal. Bound. Elem. doi: 10.1016/j.enganabound.2005.04.009 – volume: 37 start-page: 78 year: 2005 ident: 10.1016/j.apm.2020.10.023_bib0046 article-title: Domain element local integral equation method for potential problems in anisotropic and functionally graded materials publication-title: Comput. Mech. doi: 10.1007/s00466-005-0705-2 – volume: 51 start-page: 261 year: 2005 ident: 10.1016/j.apm.2020.10.023_bib0045 article-title: Local integro-differential equations with domain elements for the numerical solution of partial differential equations with variable coefficients publication-title: J. Eng. Math. doi: 10.1007/s10665-004-3692-y – volume: 5 start-page: 21 year: 1988 ident: 10.1016/j.apm.2020.10.023_bib0007 article-title: On the boundary elements for Reisner's pate theory publication-title: Eng. Anal. doi: 10.1016/0264-682X(88)90029-9 – year: 1983 ident: 10.1016/j.apm.2020.10.023_bib0035 – volume: 45 start-page: 105 issue: 1 year: 1987 ident: 10.1016/j.apm.2020.10.023_bib0040 article-title: On the solution of integral equations with strongly singular kernels publication-title: Q. Appl. Math. doi: 10.1090/qam/885173 – volume: 35 start-page: 2229 issue: 18 year: 1998 ident: 10.1016/j.apm.2020.10.023_bib0008 article-title: Hyper-singular boundary element formulation for Reissner plates publication-title: Int. J. Solids Struct. doi: 10.1016/S0020-7683(97)00188-1 – volume: 46 start-page: 116 year: 2014 ident: 10.1016/j.apm.2020.10.023_bib0043 article-title: Finite block method in elasticity publication-title: Eng. Anal. Bound. Elem. doi: 10.1016/j.enganabound.2014.05.006 – volume: 21 start-page: 177 issue: 3 year: 2007 ident: 10.1016/j.apm.2020.10.023_bib0032 article-title: Geometrically nonlinear analysis of Reissner-Mindlin plate by meshless computation publication-title: CMES: Comput. Model. Eng. Sci. – volume: 2 year: 1994 ident: 10.1016/j.apm.2020.10.023_bib0001 – volume: 28 start-page: 57 issue: 1 year: 2008 ident: 10.1016/j.apm.2020.10.023_bib0030 article-title: Thermal bending of Reissner-Mindlin plates by the MLPG publication-title: CMES-Comput. Model. Eng. Sci. – volume: 29 start-page: 90 year: 1950 ident: 10.1016/j.apm.2020.10.023_bib0039 article-title: On a variational theorem in elasticity publication-title: J. Math. Phys. doi: 10.1002/sapm195029190 – volume: 52 start-page: 871 year: 1994 ident: 10.1016/j.apm.2020.10.023_bib0034 article-title: Three-dimensional crack growth simulation using BEM publication-title: Comput. Struct. doi: 10.1016/0045-7949(94)90072-8 – volume: 15 start-page: 259 issue: 3 year: 1979 ident: 10.1016/j.apm.2020.10.023_bib0003 article-title: Analysis of through crack in cylindrical shells by quarter point elements publication-title: Int. J. Fract. doi: 10.1007/BF00033224 – year: 2004 ident: 10.1016/j.apm.2020.10.023_bib0022 – volume: 196 start-page: 2478 year: 2007 ident: 10.1016/j.apm.2020.10.023_bib0028 article-title: On the numerical Green's function technique for cracks in Reissner's plates publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2007.01.010 – volume: 38 start-page: 7769 year: 2000 ident: 10.1016/j.apm.2020.10.023_bib0012 article-title: Dual boundary element formulation for fracture mechanics analysis of shear deformable shells publication-title: Int. J. Solids Struct. doi: 10.1016/S0020-7683(01)00097-X – volume: 3 start-page: 187 year: 1998 ident: 10.1016/j.apm.2020.10.023_bib0020 article-title: A new meshless local Peyrov-Galerkin (MLPG) approach to nonlinear problems in computational modelling and simulation publication-title: Comput. Model. Simul. Eng. – volume: 83 start-page: 870 year: 2005 ident: 10.1016/j.apm.2020.10.023_bib0015 article-title: Large deformation analysis of Reissner plate by boundary element method publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2004.09.013 – volume: 196 start-page: 2681 year: 2007 ident: 10.1016/j.apm.2020.10.023_bib0029 article-title: Meshless Local Petrov-Galerkin (MLPG) method for Reissner-Mindlin plates under dynamic load publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2007.01.014 – year: 1973 ident: 10.1016/j.apm.2020.10.023_bib0041 – volume: 6 start-page: 309 year: 2004 ident: 10.1016/j.apm.2020.10.023_bib0024 article-title: Meshless Local Petrov-Galerkin method for heat conduction problem in an anisotropic medium publication-title: Comput. Model. Eng. Sci. – start-page: 87 year: 2008 ident: 10.1016/j.apm.2020.10.023_bib0047 article-title: The use of finite elements for approximation of field variables on local sub-domains in a mesh-free way, Chapter 6 – volume: 37 start-page: 229 year: 1994 ident: 10.1016/j.apm.2020.10.023_bib0018 article-title: Element-free Galerkin method publication-title: Int. J. Numer. Methods Eng. doi: 10.1002/nme.1620370205 – volume: 10 start-page: 551 year: 1976 ident: 10.1016/j.apm.2020.10.023_bib0002 article-title: A degenerate solid element for linear fracture analysis of plate bending and general shells publication-title: Int. J. Numer. Methods Eng. doi: 10.1002/nme.1620100306 – year: 2010 ident: 10.1016/j.apm.2020.10.023_bib0026 – volume: 71 start-page: 619 year: 2004 ident: 10.1016/j.apm.2020.10.023_bib0014 article-title: Crack growth analysis for multi-layered airframe structures by boundary element method publication-title: Eng. Fract. Mech. doi: 10.1016/S0013-7944(03)00021-3 – volume: 45 start-page: 1257 year: 1999 ident: 10.1016/j.apm.2020.10.023_bib0010 article-title: A new boundary element formulation for shear deformable shells analysis publication-title: Int. J. Numer. Methods Eng. doi: 10.1002/(SICI)1097-0207(19990730)45:9<1257::AID-NME629>3.0.CO;2-N – volume: 10 start-page: 307 year: 1992 ident: 10.1016/j.apm.2020.10.023_bib0017 article-title: Generalizing the finite element method: diffuse approximation and diffuse elements publication-title: Comput. Mech. doi: 10.1007/BF00364252 – volume: 22 start-page: 117 year: 1998 ident: 10.1016/j.apm.2020.10.023_bib0021 article-title: A new meshless local Peyrov-Galerkin (MLPG) approach in computational mechanics publication-title: Comput. Mech. doi: 10.1007/s004660050346 – volume: 20 start-page: 1081 year: 1995 ident: 10.1016/j.apm.2020.10.023_bib0019 article-title: Reproducing kernel particle methods publication-title: Int. J. Numer. Methods Eng. doi: 10.1002/fld.1650200824 – volume: 25 start-page: 63 issue: 1 year: 1986 ident: 10.1016/j.apm.2020.10.023_bib0004 article-title: Stress intensity factors and crack opening areas for axial through cracks in hollow cylinders under internal pressure loading publication-title: Eng. Frat. Mech. doi: 10.1016/0013-7944(86)90204-3 – volume: 33 start-page: 1152 year: 2009 ident: 10.1016/j.apm.2020.10.023_bib0027 article-title: The method of fundamental solutions for fracture mechanics - Reissner's plate application publication-title: Eng. Anal. Bound. Elem. doi: 10.1016/j.enganabound.2009.04.010 – volume: 105 start-page: 27 issue: 1 year: 2000 ident: 10.1016/j.apm.2020.10.023_bib0011 article-title: Crack growth analysis of plate loaded bending and tension using dual boundary element method publication-title: Int. J. Fract. doi: 10.1023/A:1007696111995 – volume: 3 start-page: 309 year: 1967 ident: 10.1016/j.apm.2020.10.023_bib0005 article-title: Numerical biharmonic analysis and some applications publication-title: Int. J. Solids Struct. doi: 10.1016/0020-7683(67)90032-7 – start-page: 493 year: 1996 ident: 10.1016/j.apm.2020.10.023_bib0009 article-title: Stress and displacement boundary integral formulations for shear deformable plate bending analysis – year: 2020 ident: 10.1016/j.apm.2020.10.023_bib0038 article-title: Hybrid meshless displacement discontinuity method (MDDM) in fracture mechanics: static and dynamic publication-title: Eur. J. Mech. /A Solids doi: 10.1016/j.euromechsol.2020.104023 – volume: 5 start-page: 89 issue: 4 year: 1998 ident: 10.1016/j.apm.2020.10.023_bib0036 article-title: The calculating stress intensity factor for a rigid wedge inserted into a half-infinite crack in an orthotropic plate publication-title: Chin. J. Appl. Mech. – volume: 25 year: 1986 ident: 10.1016/j.apm.2020.10.023_bib0042 article-title: Computation of stress intensity factors for plate bending vis a path of independent integral publication-title: Eng. Frat. Mech. – volume: 40 start-page: 219 year: 2003 ident: 10.1016/j.apm.2020.10.023_bib0013 article-title: Fracture mechanics analysis of curved stiffened panels using BEM publication-title: Int. J. Solids Struct. doi: 10.1016/S0020-7683(02)00498-5 – volume: 2 year: 2002 ident: 10.1016/j.apm.2020.10.023_bib0016 – start-page: 609 year: 2004 ident: 10.1016/j.apm.2020.10.023_bib0023 article-title: Heat conduction analysis in nonhomogeneous anisotropic solid – volume: 46 start-page: 237 issue: 2 year: 1993 ident: 10.1016/j.apm.2020.10.023_bib0033 article-title: Dual boundary incremental analysis of crack propagation publication-title: Comput. Struct. doi: 10.1016/0045-7949(93)90189-K – volume: 99 start-page: 372 issue: 5 year: 2014 ident: 10.1016/j.apm.2020.10.023_bib0044 article-title: Finite block method for transient heat conduction analysis in functionally graded media publication-title: Int. J. Numer. Eng. doi: 10.1002/nme.4693 |
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| Snippet | •Advantages of the boundary element method and meshless approaches are inherited in the hybrid MDDM to deal with crack problems.•Cracked Reissner's plate with... Growing applications of non-homogenous media in engineering structures require the application of powerful computational tools. A novel hybrid Meshless... |
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| SubjectTerms | Boundary element method Chebyshev approximation Collocation methods Cracks Discontinuity Displacement discontinuity method Finite element method Functionally graded materials Functionally gradient materials Interpolation Kirchhoff and Reissner plate theories Meshless local Petrov-Galerkin method Meshless methods Polynomials Software Stress intensity factors |
| Title | Hybrid meshless/displacement discontinuity method for FGM Reissner's plate with cracks |
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