Geometry and symmetry of multilattices

被引：16

作者：

Pitteri, M ^{[1
]}

机构：

[1] Univ Padua, Dipartimento Metodi & Modelli Matemat Sci Applica, I-35131 Padua, Italy

来源：

INTERNATIONAL JOURNAL OF PLASTICITY | 1998年 / 14卷 / 1-3期

关键词：

multilattices; lattice symmetry; arithmetic equivalence; crystallographic groups;

D O I：

10.1016/S0749-6419(97)00045-4

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We extend to multilattices some of Ericksen's ideas about invariance of continuum constitutive equations for a solid that can be regarded as a simple crystalline lattice from the molecular point of view. In particular we analyze properties of lattice groups of multilattices and of their fixed sets, and prove that a natural classification of such groups provides a finer description of symmetry than the classes of space groups of classical crystallography. We also provide a simple criterion to see whether or not the descriptors of a multilattice correspond to its maximal translational invariance. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：139 / 157

页数：19