Analytical and numerical investigation of failure of ellipticity for a class of hyperelastic laminates
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- 作者：Adair R. Aguiara ; aguiarar@sc.usp.br" class="auth_mail" title="E-mail the corresponding author ; Leslie D. Pé ; rez-Ferná ; ndezb ; leslie.fernandez@ufpel.edu.br" class="auth_mail" title="E-mail the corresponding author ; Edmar B.T. Pradoa ; edmarbt@sc.usp.br" class="auth_mail" title="E-mail the corresponding author
- 关键词：Nonlinear elasticity ; Periodic laminate ; Finite element method ; Neo-Hookean material ; Asymptotic homogenization method
- 刊名：European Journal of Mechanics - A/Solids
- 出版年：2017
- 出版时间：January-February 2017
- 年：2017
- 卷：61
- 期：Complete
- 页码：110-121
- 全文大小：1347 K
文摘
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We investigate the behavior of a two-phase periodic laminate in equilibrium subjected to deformation on its boundary.
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The laminae are homogeneous, isotropic, and hyperelastic.
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Analytical and computational results are in very good agreement up to the loss of ellipticity of the homogenized medium.
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Results serve to verify and extend analytical results found in the literature for the case of laminates of infinite extent.