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.
Issue Section:Review Articles
Topics:Manifolds, Deformation, Space, Tensors
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Copyright © 1993
by American Society of Mechanical Engineers