Inappropriateness in composite laminate orthotropic elasticity formulations and numerical implementation of laminate elasto-plasticity within backward Euler integration algorithm
Since contradictions occur among literatures in the mathematical formulation of composite lamina’s orthotropic elasticity and one doubt exists in one published paper’s numerical procedure about the iteration convergence during the Newton iteration for plastic strains based on backward Euler algorith...
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| Published in | Composite structures Vol. 191; pp. 119 - 122 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.05.2018
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0263-8223 1879-1085 |
| DOI | 10.1016/j.compstruct.2018.02.030 |
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| Abstract | Since contradictions occur among literatures in the mathematical formulation of composite lamina’s orthotropic elasticity and one doubt exists in one published paper’s numerical procedure about the iteration convergence during the Newton iteration for plastic strains based on backward Euler algorithm, the incorrect formulation of orthotropic elasticity is necessary to be modified and the convexity of yielding function respect to plastic consistency factor is recommended to be declared to guarantee the convergence of Newton iteration where the iterative results are more preferable based on converged state variables. This letter aims at modifying the published incorrect orthotropic elasticity model and perfecting the proposed implementation procedures of predicting composite laminate plastic deformation with the backward Euler algorithm and Newton iteration. |
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| AbstractList | Since contradictions occur among literatures in the mathematical formulation of composite lamina’s orthotropic elasticity and one doubt exists in one published paper’s numerical procedure about the iteration convergence during the Newton iteration for plastic strains based on backward Euler algorithm, the incorrect formulation of orthotropic elasticity is necessary to be modified and the convexity of yielding function respect to plastic consistency factor is recommended to be declared to guarantee the convergence of Newton iteration where the iterative results are more preferable based on converged state variables. This letter aims at modifying the published incorrect orthotropic elasticity model and perfecting the proposed implementation procedures of predicting composite laminate plastic deformation with the backward Euler algorithm and Newton iteration. |
| Author | Zhang, ZhenDong Ren, Rui Ma, Dawei Zhong, Jianlin |
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| References | Simo, Hughes (b0045) 1998 Liu, Liao, Jia, Peng (b0030) 2016; 149 Donadon, Iannucci, Falzon, Hodgkinson, De Almeida (b0020) 2008; 86 Voyiadjis, Kattan (b0040) 2005 Raimondo, Iannucci, Robinson, Curtis (b0010) 2012; 72 Singh, Mahajan (b0035) 2015; 131 Liao, Liu (b0025) 2017; 159 Xin, Wen (b0015) 2015; 75 Singh, Namala, Mahajan (b0005) 2015; 76 Liao (10.1016/j.compstruct.2018.02.030_b0025) 2017; 159 Simo (10.1016/j.compstruct.2018.02.030_b0045) 1998 Liu (10.1016/j.compstruct.2018.02.030_b0030) 2016; 149 Voyiadjis (10.1016/j.compstruct.2018.02.030_b0040) 2005 Singh (10.1016/j.compstruct.2018.02.030_b0035) 2015; 131 Raimondo (10.1016/j.compstruct.2018.02.030_b0010) 2012; 72 Singh (10.1016/j.compstruct.2018.02.030_b0005) 2015; 76 Donadon (10.1016/j.compstruct.2018.02.030_b0020) 2008; 86 Xin (10.1016/j.compstruct.2018.02.030_b0015) 2015; 75 |
| References_xml | – volume: 76 start-page: 235 year: 2015 end-page: 248 ident: b0005 article-title: A damage evolution study of E-glass/epoxy composite under low velocity impact publication-title: Compos Part B – volume: 131 start-page: 290 year: 2015 end-page: 303 ident: b0035 article-title: Modeling damage induced plasticity for low velocity impact simulation of three dimensional fiber reinforced composite publication-title: Compos Struct – volume: 149 start-page: 408 year: 2016 end-page: 422 ident: b0030 article-title: Finite element analysis of dynamic progressive failure of carbon fiber composite laminates under low velocity impact publication-title: Compos Struct – volume: 75 start-page: 40 year: 2015 end-page: 52 ident: b0015 article-title: A progressive damage model for fiber reinforced plastic composites subjected to impact loading publication-title: Int J Impact Eng – volume: 159 start-page: 567 year: 2017 end-page: 578 ident: b0025 article-title: Finite element analysis of dynamic progressive failure of plastic composite laminates under low velocity impact publication-title: Compos Struct – volume: 86 start-page: 1232 year: 2008 end-page: 1252 ident: b0020 article-title: A progressive failure model for composite laminates subjected to low velocity impact damage publication-title: Comput Struct – volume: 72 start-page: 624 year: 2012 end-page: 632 ident: b0010 article-title: A progressive failure model for mesh-size-independent FE analysis of composite laminates subject to low-velocity impact damage publication-title: Compos Sci Technol – year: 2005 ident: b0040 article-title: Mechanics of composite materials with MATLAB – year: 1998 ident: b0045 article-title: Computational inelasticity – volume: 72 start-page: 624 issue: 5 year: 2012 ident: 10.1016/j.compstruct.2018.02.030_b0010 article-title: A progressive failure model for mesh-size-independent FE analysis of composite laminates subject to low-velocity impact damage publication-title: Compos Sci Technol doi: 10.1016/j.compscitech.2012.01.007 – year: 2005 ident: 10.1016/j.compstruct.2018.02.030_b0040 – volume: 76 start-page: 235 year: 2015 ident: 10.1016/j.compstruct.2018.02.030_b0005 article-title: A damage evolution study of E-glass/epoxy composite under low velocity impact publication-title: Compos Part B doi: 10.1016/j.compositesb.2015.02.016 – volume: 149 start-page: 408 year: 2016 ident: 10.1016/j.compstruct.2018.02.030_b0030 article-title: Finite element analysis of dynamic progressive failure of carbon fiber composite laminates under low velocity impact publication-title: Compos Struct doi: 10.1016/j.compstruct.2016.04.012 – volume: 131 start-page: 290 year: 2015 ident: 10.1016/j.compstruct.2018.02.030_b0035 article-title: Modeling damage induced plasticity for low velocity impact simulation of three dimensional fiber reinforced composite publication-title: Compos Struct doi: 10.1016/j.compstruct.2015.04.070 – volume: 86 start-page: 1232 issue: 11–12 year: 2008 ident: 10.1016/j.compstruct.2018.02.030_b0020 article-title: A progressive failure model for composite laminates subjected to low velocity impact damage publication-title: Comput Struct doi: 10.1016/j.compstruc.2007.11.004 – volume: 159 start-page: 567 year: 2017 ident: 10.1016/j.compstruct.2018.02.030_b0025 article-title: Finite element analysis of dynamic progressive failure of plastic composite laminates under low velocity impact publication-title: Compos Struct doi: 10.1016/j.compstruct.2016.09.099 – volume: 75 start-page: 40 year: 2015 ident: 10.1016/j.compstruct.2018.02.030_b0015 article-title: A progressive damage model for fiber reinforced plastic composites subjected to impact loading publication-title: Int J Impact Eng doi: 10.1016/j.ijimpeng.2014.07.014 – year: 1998 ident: 10.1016/j.compstruct.2018.02.030_b0045 |
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| Title | Inappropriateness in composite laminate orthotropic elasticity formulations and numerical implementation of laminate elasto-plasticity within backward Euler integration algorithm |
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