Linearization of response mappings in constrained elasticity |
| |
Authors: | Paolo Podio-Guidugli Maurizio Vianello |
| |
Affiliation: | (1) Dipartimento di Ingegneria Civile, Università di Roma Tor Vergata, Roma, Italy;(2) Dipartimento di Matematica, Politecnico, Milano, Italy |
| |
Abstract: | The linearization of response mappings for elastic materials with internal constraints is discussed with a geometric perspective. It is shown that, when the active residual stress is not zero, the Weingarten map of the constraint manifold plays an important role in the deduction of linearized constitutive equations. As an example, the Weingarten map is computed for a material which is incompressible and inextensible in a given direction. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|