Koiter’s Shell Theory from the Perspective of Three-dimensional Nonlinear Elasticity
Koiter’s Shell Theory from the Perspective of Three-dimensional Nonlinear Elasticity
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DOI：
10.1007/s10659-012-9393-2
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发表时间：
2013-03
影响因子：
2
通讯作者：
D. Steigmann
中科院分区：
文献类型：
--
作者：
D. Steigmann
本文从非线性弹性理论出发，系统地导出了Koiter壳模型，并证明了当弯曲能和拉伸能为同一数量级时，该模型是小厚度情况下的首阶模型。Koiter的模型扩展到有限的中表面应变出现时，拉伸效应占主导地位。
Koiter’s shell model is derived systematically from nonlinear elasticity theory, and shown to furnish the leading-order model for small thickness when the bending and stretching energies are of the same order of magnitude. An extension of Koiter’s model to finite midsurface strain emerges when stretching effects are dominant.