摘要
本文从各向异性线弹性体应力应变关系的一般表示式出发,通过矩阵代数运算,说明各向异性弹性介质的应力应变关系不仅取决于材料本身的力学性质,而且还依赖于偏应力作用的方向和材料物性对称面的相对几何关系。证明了在微小应变下,球应力张量不仅引起体变,而且也引起畸变;偏应力张量不仅引起畸变,而且也引起体变。通过简单的算例进一步阐明了这种剪胀性所服从的特殊规律。
With the algebratical calculation of matrix for general expression of stress-strain relationship of anisotropic linear elastic material, it is shown that the stress-strain behaviour for this kind of material depends not only upon mechanical properties of material, but also upon geometric relation between the action direction of deviator stresses and the physical symmetric planes of material. It is demonstrated that global stress tensor causes not only volume change, but also deformity: and deviator stress tensor causes not only deformity, but also volume change. The special dilatency rule for anisotropic linear elastic material is shown more clearly with calculation of a simple example.
出处
《岩土力学》
EI
CAS
CSCD
1990年第1期41-50,共10页
Rock and Soil Mechanics
