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Mathematics and Mechanics of Solids
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Plane Deformations with Constant Stretches

F. P. Duda

COPPE-Universidade Federal do Rio de Janeiro, C.P 68503, 21945-970 Rio de Janeiro, RJBrazil

L. C. Martins

COPPE-Universidade Federal do Rio de Janeiro, C.P 68503, 21945-970 Rio de Janeiro, RJBrazil

This paper presents a new approach for the determination of all plane deformations with constant stretches. This problem is equivalent to the description of a special class of divergence-free plane symmetric tensor fields. Our approach is based on a compatibility condition for a plane symmetric tensor field to be the right stretch tensor of some deformation.

Mathematics and Mechanics of Solids, Vol. 5, No. 1, 117-129 (2000)
DOI: 10.1177/108128650000500107
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