Scholarlink

<p>Regarding a shell as the natural restriction of the Euclidean frame bundle to an embedded surface, and further restricting its deformation so that the surface tangent planes be preserved, a first-order (simple) material behaviour leads automatically to a theory that includes strain gradients. Using the principle of virtual work, the weak and strong forms of the shell equilibrium equations and boundary conditions are derived. A comparison with other higher gradient theories is carried out and commented upon. An important outcome of the proposed geometric framework is that the gradient of curvature does not emerge as an independent contribution in the resulting higher-gradient shell formulation.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Shells as Constrained Fibre Bundles

  • 期刊论文

  • 发表日期：

    2026年6月1日

查看全文
  • Mohammadjavad Javadi,
  • Marcelo Epstein

摘要

Regarding a shell as the natural restriction of the Euclidean frame bundle to an embedded surface, and further restricting its deformation so that the surface tangent planes be preserved, a first-order (simple) material behaviour leads automatically to a theory that includes strain gradients. Using the principle of virtual work, the weak and strong forms of the shell equilibrium equations and boundary conditions are derived. A comparison with other higher gradient theories is carried out and commented upon. An important outcome of the proposed geometric framework is that the gradient of curvature does not emerge as an independent contribution in the resulting higher-gradient shell formulation.