Invariance of Stresses under a Change in Elastic Compliances
A recent discovery by Cherkaev, Lurie and Milton shows that, in plane elasticity involving a material with varying compliances, it is possible to keep the stress state the same by compensating for a constant shift in the bulk compliance with the opposite shift in the shear compliance. The present article demonstrates that, depending on the connectivity of the domain and some side conditions, the stress state may also be invariant upon a linear shift in the elastic compliances. Discontinuous compliances, such as encountered in composite materials, and various interface conditions, as well as global compatibility are discussed in detail.
Proceedings of the Royal Society of London Series A
- Pub Date:
- November 1993