The Theory of Shells and Plates
The Theory of Shells and Plates
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DOI：
10.1007/978-3-662-39776-3_5
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发表时间：
1973
期刊：
影响因子：
--
通讯作者：
P. Naghdi
中科院分区：
文献类型：
--
作者：
P. Naghdi
板，更一般地说是壳，是一种特殊的三维物体，其边界面具有特殊的特征。虽然我们推迟到第4节才精确地定义壳状体，但为了这些初步评论的目的，考虑一个表面--称为参考表面--并想象沿着参考表面每一点的法线从上到下围绕表面的材料细丝。进一步假设由材料细丝的端点形成的边界表面与参考表面等距。如果物体沿法线的沿着尺寸（称为厚度）很小，则这样的三维物体称为壳。如果壳的厚度比参考表面的某一特征长度小得多，则称壳薄，例如，初始曲面壳的参考表面的最小曲率半径。2
A plate and more generally a shell is a special three-dimensional body whose boundary surface has special features. Although we defer defining a shell-like body in precise terms until Sect. 4, for the purpose of these preliminary remarks consider a surface—called a reference surface—and imagine material filaments from above and below surrounding the surface along the normal at each point of the reference surface. Suppose further that the bounding surfaces formed by the end points of the material filaments are equidistant from the reference surface. Such a three-dimensional body is called a shell if the dimension of the body along the normals, called the thickness, issmall. A shell is said to bethinif its thickness is muchsmallerthan a certain characteristic length of the reference surface, e.g., the minimum radius of the curvature of the reference surface for initially curved shells.2