A set of invariants are presented for transverse-isotropic materials whose gradients produce strain fields, instead of deformation fields as is typically the case. Finite-strain theories for elastic and K-BKZ-type viscoelastic solids are derived. Shear-free and simple shearing deformations are employed to illustrate the constitutive theory.
Transverse-Isotropic Elastic and Viscoelastic Solids
Contributed by the Materials Division for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received by the Materials Division April 29, 2003; revision received August 1, 2003. Associate Editor: A. M. Sastry.
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Freed, A. D. (January 22, 2004). "Transverse-Isotropic Elastic and Viscoelastic Solids ." ASME. J. Eng. Mater. Technol. January 2004; 126(1): 38–44. https://doi.org/10.1115/1.1631030
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