期刊
MATHEMATICS AND MECHANICS OF SOLIDS
卷 22, 期 3, 页码 343-371出版社
SAGE PUBLICATIONS LTD
DOI: 10.1177/1081286515594656
关键词
Area incompressibility; linearization; lipid bilayers; material stability; rotation-free shell formulations; thin-shell theory
资金
- Deutsche Forschungsgemeinschaft (German Research Foundation) [GSC 111, SA1822/5-1]
This paper gives a concise summary of the general theoretical framework suitable to describe shells with solid-like and liquid-like behavior. Thin-shell kinematics are considered and used to derive the equilibrium equations from linear- and angular-momentum balance. Based on the mechanical power balance and the mechanical dissipation inequality, the constitutive equations for the hyperelastic material behavior of constrained shells are derived and their material stability is examined. Various constitutive examples are considered and assessed for their stability. The governing weak form of the formulation is derived and decomposed into in-plane and out-of-plane components. The presented work provides a very general framework for a unified description of solid and liquid shells and illustrates what leads to their loss of material stability. This framework serves as a basis for developing computational shell formulations based on rotation-free shell discretizations. Therefore the full linearization of the formulation is also presented here.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据