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Mathematics and Mechanics of Solids
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Universal Relations for Transversely Isotropic Elastic Materials

R. C. Batra

Department of Engineering Science and Mechanics, M/C 0219, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA

We adopt Hayes and Knops’s approach and derive universal relations for finite deformations of a transversely isotropic elastic material. Explicit universal relations are obtained for homogeneous deformations corresponding to triaxial stretches, simple shear, and simultaneous shear and extension. Universal relations are also derived for five families of nonhomogeneous deformations.

Mathematics and Mechanics of Solids, Vol. 7, No. 4, 421-437 (2002)
DOI: 10.1177/108128028483
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