双层薄壳的渐近理论

D. Steigmann
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引用次数: 0

摘要

我们建立了一个有限变形、小应变响应的渐近模型,该模型是由两个完美结合的薄片组成的薄层壳,它们表现出相对于界面表面的材料特性的反射对称性。没有对变形的运动学作任何先验的假设。渐近过程在Koiter的著名的壳理论的推广中达到高潮,以适应层压结构,并结合了纯弯曲的严格极限模型。
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Asymptotic theory for thin two-ply shells
We develop an asymptotic model for the finite-deformation, small-strain response of thin laminated shells composed of two perfectly bonded laminae that exhibit reflection symmetry of the material properties with respect to an interfacial surface. No a priori hypotheses are made concerning the kinematics of deformation. The asymptotic procedure culminates in a generalization of Koiter’s well-known shell theory to accommodate the laminated structure, and incorporates a rigorous limit model for pure bending.
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