Finite Elastic Deformation Governed by Linear Equations

[+] Author and Article Information
Joseph B. Keller

Departments of Mathematics and Mechanical Engineering, Stanford University, Stanford, Calif. 94305

J. Appl. Mech 53(4), 819-820 (Dec 01, 1986) (2 pages) doi:10.1115/1.3171864 History: Received February 25, 1986; Online July 21, 2009


It is observed that the equations of motion governing finite elastic deformation are linear if and only if the Piola-Kirchhoff stress tensor is linear in the deformation gradient. Then the three components of displacement satisfy uncoupled linear equations. These equations are used to solve some problems of finite deformation.

Copyright © 1986 by ASME
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