The constraint of in-plane rigidity is examined within the general framework of the theory of internally constrained materials. It is shown that, for in-plane rigid materials, local strain and active stress are both defined by vectorial quantities. Representation formulae for the elastic response mapping are established in the cases of transverse isotropy and maximal symmetry, compatible with the constraint manifold. The equilibrium problem for an elastic body reinforced with parallel inextensible planes is also considered. In particular universal solutions for bodies with maximal material symmetry are determined within the class of deformations which leave rigid every reinforcing plane.

Elastic Bodies Reinforced with Inextensible Surfaces / De Tommasi, Domenico. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - STAMPA. - 45:3(1996), pp. 215-250. [10.1007/BF00041208]

Elastic Bodies Reinforced with Inextensible Surfaces

De Tommasi, Domenico
1996-01-01

Abstract

The constraint of in-plane rigidity is examined within the general framework of the theory of internally constrained materials. It is shown that, for in-plane rigid materials, local strain and active stress are both defined by vectorial quantities. Representation formulae for the elastic response mapping are established in the cases of transverse isotropy and maximal symmetry, compatible with the constraint manifold. The equilibrium problem for an elastic body reinforced with parallel inextensible planes is also considered. In particular universal solutions for bodies with maximal material symmetry are determined within the class of deformations which leave rigid every reinforcing plane.
1996
Elastic Bodies Reinforced with Inextensible Surfaces / De Tommasi, Domenico. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - STAMPA. - 45:3(1996), pp. 215-250. [10.1007/BF00041208]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/2629
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