Finite Strain Elastostatics With Stiffening Materials: A Constrained Minimization Model

[+] Author and Article Information
S. J. Hollister

Orthopedic Research Laboratories, University of Michigan, Ann Arbor, MI 48109

J. E. Taylor, P. D. Washabaugh

Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI 48109

J. Appl. Mech 64(2), 440-442 (Jun 01, 1997) (3 pages) doi:10.1115/1.2787333 History: Received October 10, 1995; Revised September 05, 1996; Online October 25, 2007


Finite strain elastostatics is expressed for general anisotropic, piecewise linear stiffening materials, in the form of a constrained minimization problem. The corresponding boundary value problem statement is identified with the associated necessary conditions . Total strain is represented as a superposition of variationally independent constituent fields. Net stress-strain properties in the model are implicit in terms of the parameters that define the constituents. The model accommodates specification of load fields as functions of a process parameter .

Copyright © 1997 by The American Society of Mechanical Engineers
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