A consideration based on thermodynamics about the condition of fracture occurrence of the homogeneous isotropic linear elastic body

Abstract

In this paper, we gave a definition based on thermodynamics and continuum mechanics of surface energy of a homogeneous isotropic linear elastic body. Next, we got a new condition of fracture occurrence of a homogeneous isotropic linear elastic body by using above mentioned definition of surface energy and by thermodynamical study according with Griffith's theory. By using the result of the mathematical solution for stress-strain field of the clack tip which exsists in a homogeneous isotropic linear elastic body to the new fracture condition in the reach of infinite small strain, we got the same fracture occurrence condition which was obtained from conventional theory.