Conservation Laws for Thermo or Poroelasticity

[+] Author and Article Information
N. Chien, G. Herrmann

Division of Applied Mechanics, Stanford University, Stanford, CA 94305-4040

J. Appl. Mech 63(2), 331-336 (Jun 01, 1996) (6 pages) doi:10.1115/1.2788869 History: Received June 21, 1993; Revised November 10, 1993; Online October 26, 2007


It is the purpose of the present paper to establish conservation laws for time-independent and time-dependent thermoelasticity in two dimensions via the NA method. Due to the analogy between the mechanics of a thermoelastic and a poroelastic medium, the results obtained can be applied to studies of poroelasticity. The conservation laws derived here should prove useful in studies of fracture and defects in a linear elastic body under the influence of nonuniform temperature fields and in a porous elastic solid whose pores are filled with a compressible viscous fluid. In particular, a path-independent integral was derived which represents the energy release rate accompanying crack growth.

Copyright © 1996 by The American Society of Mechanical Engineers
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