Affine transforms of three-dimensional anisotropic media and explicit formulas for fundamental matrices

被引：7
|
作者：
Langer S. [1 ]
Nazarov S.A. [2 ]
Specovius-Neugebauer M. [1 ]
机构：
[1] Kassel University
[2] Institute of Mechanical Engineering Problems, Russian Academy of Sciences
来源：
Journal of Applied Mechanics and Technical Physics | 2006年 / 47卷 / 2期
基金：
俄罗斯基础研究基金会;
关键词：
Affine transform; Fundamental matrix; Three-dimensional system of equations of the elasticity theory;
D O I：
10.1007/s10808-006-0047-7
中图分类号：
学科分类号：
摘要：
The concept of classes of algebraically equivalent anisotropic three-dimensional media is introduced: elastic fields in such media are related by simple algebraic expressions. An explicit formula is obtained for a fundamental matrix with ten free constants in the elastic modulus tensor (rather than for five free constants, as in the famous case of transverse isotropy). A hypothesis is formulated and several questions are posed, which are related to the notion of algebraic equivalence under discussion. © Springer Science+Business Media, Inc. 2006.
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页码：229 / 235
页数：6
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