Solvability on boundary-value problems of elasticity of three-dimensional quasicrystals
Solvability on boundary-value problems of elasticity of three-dimensional quasicrystals
复制标题
DOI：
10.1007/s10483-007-0808-y
复制
发表时间：
2007-08
影响因子：
4.4
通讯作者：
郭丽辉;范天佑
中科院分区：
文献类型：
--
作者：
郭丽辉;范天佑
利用矩阵表示法，给出了三维(三维)准晶弹性偏微分方程组边值问题的弱解(或广义解)。利用Korn不等式和函数空间理论，证明了弱解的唯一性。将经典弹性力学的解的存在定理推广到准晶弹性力学，发展了本文第二作者及其学生提出的二维准晶弹性力学的弱解理论。
Weak solution (or generalized solution) for the boundary-value problems of partial differential equations of elasticity of 3D (three-dimensional) quasicrystals is given, in which the matrix expression is used. In terms of Korn inequality and theory of function space, we prove the uniqueness of the weak solution. This gives an extension of existence theorem of solution for classical elasticity to that of quasicrystals, and develops the weak solution theory of elasticity of 2D quasicrystals given by the second author of the paper and his students.