Many-body forces in solids and the Brugger elastic constants. II. Inner elastic constants
Many-body forces in solids and the Brugger elastic constants. II. Inner elastic constants
复制标题
DOI：
10.1088/0022-3719/8/18/006
复制
发表时间：
1975-09
期刊：
影响因子：
--
通讯作者：
J. Martin
中科院分区：
文献类型：
--
作者：
J. Martin
关于PT，见同上，第8卷，第18期，第2837页（1975）。本文用均匀变形法导出了晶体固体的一阶和二阶内弹性常数的表达式，其中能量密度由各阶多体相互作用项的贡献组成。这些结果是由第一部分的技术的直接推广得到的。应变的拉格朗日定义被用来描述宏观应变的晶格，和内部位移的旋转不变的措施被用于内部应变。这确保了弹性常数在零应变和有限应变下都具有通常与旋转不变性相关的对称性。
For pt.I see ibid., vol.8, no.18, p.2837 (1975). The method of homogeneous deformations is used to derive expressions for the first- and second-order inner elastic constants of a crystalline solid in which the energy density is composed of contributions from many-body interaction terms of various order. These results are obtained by a straightforward extension of the techniques of part I. The Lagrangian definition of strain is used to describe the macroscopic strain of the lattice, and a rotationally invariant measure of inner displacement is used for the internal strain. This ensures that the elastic constants have the symmetry properties commonly associated with rotational invariance, at both zero and finite strain.