Nonlocal continuum analysis of a nonlinear uniaxial elastic lattice system under non-uniform axial load
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- 作者：Benjamin Hé ; risson benjamin.herisson@univ-ubs.fr" class="auth_mail" title="E-mail the corresponding author ; Noë ; l Challamel ; noel.challamel@univ-ubs.fr" class="auth_mail" title="E-mail the corresponding author ; Vincent Picandet vincent.picandet@univ-ubs.fr" class="auth_mail" title="E-mail the corresponding author ; Arnaud Perrot arnaud.perrot@univ-ubs.fr" class="auth_mail" title="E-mail the corresponding author
- 关键词：FPU system ; Axial chain ; Distributed loading ; Discrete problem ; Nonlocal continuous models ; Repetitive cells ; Microstructured material ; finite difference equations ; Scale effect ; Localization ; Nonlinear lattice
- 刊名：Physica E: Low-dimensional Systems and Nanostructures
- 出版年：2016
- 出版时间：September 2016
- 年：2016
- 卷：83
- 期：Complete
- 页码：378-388
- 全文大小：1110 K
文摘
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The static behavior of a nonlinear axial chain under distributed loading is examined.
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Exact analytical solutions based on Hurwitz zeta functions are presented.
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The nonlinear lattice possesses scale effects and possible localization properties in the absence of energy convexity.
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A nonlinear continuum elasticity model is developed to capture the main phenomena observed regarding the discrete axial problem.
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This associated continuum is an enriched gradient-based or nonlocal axial medium.