Conservation Laws for Thermo or Poroelasticity

Author:

Chien N.1,Herrmann G.1

Affiliation:

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

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference20 articles.

1. Ainsworth, R. A., Neale, B. K., and Price, R. H., 1978, “Fracture Behavior in the Presence of Thermal Strains,” Proceedings of the Institute of Mechanical Engineers Conference on Tolerance of Flaws in Pressurized Components, London, U.K., pp. 171–178.

2. Bessel-Hagen E. , 1921, “U¨ber die Erhaltungssa¨tze der Electrodynamik,” Math. Ann., Vol. 84, pp. 258–276.

3. Biot M. A. , 1956, “Thermoelasticity and Irreversible Thermodynamics,” Journal of Applied Physics, Vol. 27, pp. 240–253.

4. Chien, N., 1992, “Conservation Laws in Non-Homogeneous and Dissipative Mechanical Systems,” Ph.D. Dissertation, Stanford University, Stanford, CA.

5. Eischen J. W. , and HerrmannG., 1987, “Energy Release Rates and Related Balance Laws in Linear Elastic Defect Mechanics,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 54, pp. 388–392.

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