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Linearization of response mappings in constrained elasticity

✍ Scribed by Paolo Podio-Guidugli; Maurizio Vianello

Publisher
Springer Netherlands
Year
1994
Tongue
English
Weight
203 KB
Volume
34
Category
Article
ISSN
0374-3535

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✦ Synopsis

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.

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