Stress channelling in extreme couple-stress materials Part II: Localized folding vs faulting of a continuum in single and cross geometries

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• 作者：Panos A. Gourgiotis ^{p.gourgiotis@unitn.it" class="auth_mail" title="E-mail the corresponding author} ; Davide Bigoni ; ^{bigoni@ing.unitn.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Cosserat elasticity ; Strain localization ; Green's functions ; Wave propagation ; Anisotropy
• 刊名：Journal of the Mechanics and Physics of Solids
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：88
• 期：Complete
• 页码：169-185
• 全文大小：4486 K

文摘

The antiplane strain Green's functions for an applied concentrated force and moment are obtained for Cosserat elastic solids with extreme anisotropy, which can be tailored to bring the material in a state close to an instability threshold such as failure of ellipticity. It is shown that the wave propagation condition (and not ellipticity) governs the behaviour of the antiplane strain Green's functions. These Green's functions are used as perturbing agents to demonstrate in an extreme material the emergence of localized (single and cross) stress channelling and the emergence of antiplane localized folding (or creasing, or weak elastostatic shock) and faulting (or elastostatic shock) of a Cosserat continuum, phenomena which remain excluded for a Cauchy elastic material. During folding some components of the displacement gradient suffer a finite jump, whereas during faulting the displacement itself displays a finite discontinuity.