On a Nonlinear Theory for Muscle Shells: Part I—Theoretical Development

[+] Author and Article Information
L. A. Taber

Department of Mechanical Engineering and Pediatrics, University of Rochester, Rochester, NY 14627

J Biomech Eng 113(1), 56-62 (Feb 01, 1991) (7 pages) doi:10.1115/1.2894085 History: Received October 30, 1989; Revised September 08, 1990; Online March 17, 2008


This paper presents a theory for studies of the large-strain behavior of biological shells composed of layers of incompressible, orthotropic tissue, possibly muscle, of arbitrary orientation. The intrinsic equations of the laminated-shell theory, expressed in lines-of-curvature coordinates, account for large membrane [O(1)] and moderately large bending and transverse shear strains [O(0.3)], nonlinear material properties, and transverse normal stress and strain. An expansion is derived for a general two-dimensional strain-energy density function, which includes residual stress and muscle activation through a shifting zero-stress configuration. Strain-displacement relations are given for the special case of axisymmetric deformation of shells of revolution with torsion.

Copyright © 1991 by The American Society of Mechanical Engineers
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