The strain energy function of a metal subjected to finite elastic volume change

✍ Scribed by Haddow, J. B. ;Faulkner, G. M.

• Book ID: 104748034
• Publisher: Springer
• Year: 1973
• Tongue: English
• Weight: 282 KB
• Volume: 27
• Category: Article
• ISSN: 0003-6994
• DOI: 10.1007/bf00382490

✦ Synopsis

The form of the straiI1 energy function for a metal subjected to finite elastic volume change and !nfinitesimal elastic shearing strain is considered.

Nomenclature

Symbolic notation is used. The inner product of two second order tensors P and Q is given by PQ and the inner product of a second order tensor P and a vector v by Pv. The trace, determinant, and t h e magnitude of a second order tellsor P are denoted by trP, der [P~ and JPI respectively. The magnitude of P is defined as (tr PP~')½. § 1. Introduction * O t h e r c o n d i t i o n s m u s t be satisfied to insure t h a t the b e h a v i o r is p h y s i c a l l y plausible, for e x a m p l e a h y d r o s t a t i c pressure should result in a v o l u m e decrease r a t h e r t h a n a v o l u m e increase.