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Mathematics and Mechanics of Solids
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Universal Relations in Constrained Elasticity

Edvige Pucci

Instituto di Energeticaacgr, Universita degli Studi di Perugia, Strada S. Lucia Canetola, 06125 PERUGIA, Italia

Giuseppe Saccomandi

Dip.to di Metodi e Metodi Matematici per le Scienze Applicate, Universitaacgr LA SAPIENZA, 00161 ROMA, Italia

New universal relations for nonlinear isotropic materials with internal isotropic constraints are found. It is also shown that two families of nonhomogeneous deformations, with constant principal invariants, are universal solutions for all materials in the above-mentioned class.

Mathematics and Mechanics of Solids, Vol. 1, No. 2, 207-217 (1996)
DOI: 10.1177/108128659600100204
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G. Saccomandi and M. F. Beatty
Universal Relations for Fiber-Reinforced Elastic Materials
Mathematics and Mechanics of Solids, February 1, 2002; 7(1): 95 - 110.
[Abstract] [PDF]