应力应变表示法分析

ANALYSIS OF STRESS AND STRAIN REPRESENTATIONS

考察了在坐标系变换时使弹性系数矩阵保持相似的应力应变表示法－－协调表示法。分析了协调应力应变表示法的协调条件和本征量的特性，并讨论了其中的一组具有独特优点的表示法－－规范表示法。

The vectoral representations of stress and strain are studied in this paper.The coordinate repre-sentations with similar elastic coefficient matrices in the rotation of Cartesian coordinates are presentedas ∑=X{σ},∈=aX{e},where X is a transform matrix, {σ}=[σx,σy,σz,τyz,τzx,xy]T,{e}=[ex,ey,ez,eyz,ezx,exy]T,and a is a constant.The corresponding elastic coefficient matrices have eigenvaluesthat represent the material elasticity and are independent of Cartesian coordinates,The representationis named standard representation when .It is shown that the ad-vantages the elastic coefficient matrix of the standard representation are its symmetry and similarity inthe rotation of Catresian coordinates.