A twinning study

✍ Scribed by Howard Shaun Sellers

• Book ID: 104619466
• Publisher: Springer Netherlands
• Year: 1984
• Tongue: English
• Weight: 416 KB
• Volume: 14
• Category: Article
• ISSN: 0374-3535
• DOI: 10.1007/bf00041665

✦ Synopsis

For some materials the constitutive function may be multi-valued. One such material is a twinned crystal, which consists of two regions related by a symmetry transformation. In this paper, multi-valued functions based on twinning, trilling, etc., are examined. Group theory is used to obtain some new results on the invariance groups of multi-valued constitutive functions. With these results and ideas of material symmetry used in classical elasticity, estimates for the invariance groups are provided. In addition, a theorem is proved which gives a necessary and sufficient condition relating the invariance group of any branch to the number of branches of the constitutive function. Finally, an example is worked out which uses the theory of stress-free joints. In this example, various ways of bonding two regions together so that the resulting crystals forms a twin are shown.