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Mathematics and Mechanics of Solids
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Non-Isochoric Bending and Shearing

M. M. Carroll

Department of Mechanical Engineering and Materials Science, Mail Stop 321, Rice University, PO Box 1892, Houston TX 77251-1892, USA

Two families of non-homogeneous finite deformations are treated. For each family, the governing system of second-order nonlinear partial differential equations reduces to a system of first-order non-linear ordinary differential equations for homogeneous compressible elastic solids with arbitrary isotropic or anisotropic response.

Key Words: finite elasticity • exact solutions • anisotrophy

Mathematics and Mechanics of Solids, Vol. 10, No. 6, 691-703 (2005)
DOI: 10.1177/1081286505036439


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M.M. Carroll
Finite Deformations and Motions of a Pre-stressed Incompressible Elastic Tube
Mathematics and Mechanics of Solids, November 1, 2009; 14(8): 681 - 695.
[Abstract] [PDF]