Conservation Laws for Thermo or Poroelasticity

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.