Reduced Constraint Manifolds

[+] Author and Article Information
Paulo Boulos, Nelson Achcar

Department of Structures and Foundation Engineering, Escola Politecnica, Universidade de São Paulo, CP 61548, São Paulo, SP, Brazil

Appl. Mech. Rev 46(11S), S105-S109 (Nov 01, 1993) doi:10.1115/1.3122624 History: Online April 29, 2009


The formalization of the concept of internal constraint is usually done by means of restrictions on the deformation gradients, by imposing that they must stay on a submanifold of Lin+ . Our point of view is to impose restrictions on the right Cauchy-Green tensors, by imposing that they must stay on a submanifold of P sym, which we call reduced constraint manifold. We determine: all the constraint manifolds that are independent of the local reference configuration, a new formula for the reaction space, all the constraint manifolds whose reaction spaces are independent of the deformation gradient.

Copyright © 1993 by American Society of Mechanical Engineers
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