Two-phase deformations of elastic solids
Two-phase deformations of elastic solids
复制标题
弹性固体的两相变形
DOI：
10.1007/bf00251547
复制
发表时间：
1983
影响因子：
2.5
通讯作者：
M. Gurtin
中科院分区：
文献类型：
--
作者：
M. Gurtin
对连续体相变的系统处理，自然而然地导致了对梯度有跳跃不连续的变形的研究。我们的主要研究结果与这种两相变形的稳定性有关。我们使用标准最小能量准则结合在边界上消失的变形变化来定义稳定性。证明了如果梯度为F的两相变形是局部极小值，则对于不连续曲面上任意点p0， F（p0）的两个值F±（p0）对应的分段齐次变形是全局极小值。
The systematic treatment of phase transformations in continuous bodies leads, in a natural manner, to the study of deformations whose gradients suffer jump discontinuities. Our main results concern the stability of such two-phase deformations. We define stability using the standard minimum energy criterion in conjunction with variations in deformation that vanish on the boundary. We prove that if a two-phase deformation (with gradient F) is a local minimizer, then given any point p0 of the surface of discontinuity, the piecewise-homogeneous deformation corresponding to the two values F±(P0) of F(P0) is a global minimizer.