DIRECT EXPRESSION OF INCOMPATIBILITY IN CURVILINEAR SYSTEMS

被引：4

作者：

Van Goethem, Nicolas ^{[1
]}

机构：

[1] Univ Lisbon, Fac Ciencias, Dept Matemat, CMAF CIO, Alameda Univ C6, P-1749016 Lisbon, Portugal

来源：

ANZIAM JOURNAL | 2016年 / 58卷 / 01期

关键词：

incompatibility; dislocations; elasticity; differential geometry; curvilinear basis; spherical system; ELASTICITY; DISLOCATIONS;

D O I：

10.1017/S1446181116000158

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We would like to present a method to compute the incompatibility operator in any system of curvilinear coordinates (components). The procedure is independent of the metric in the sense that the expression can be obtained by means of the basis vectors only, which are first defined as normal or tangential to the domain boundary, and then extended to the whole domain. It is an intrinsic method, to some extent, since the chosen curvilinear system depends solely on the geometry of the domain boundary. As an application, the in-extenso expression of incompatibility in a spherical system is given.

引用

页码：33 / 50

页数：18

共 9 条

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