Abstract

In former papers, the concept of crack energy density ε has been proposed as the most fundamental parameter in fracture mechanics and it has been shown that ε can be evaluated by path independent integral εJ under arbitrary constitutive law. In this paper, the expressions of εJ-integral which evaluate each contribution of elasticity, plasticity and creep to total crack energy density ε and the distribution of crack energy densities are newly introduced and these are applied to elasto-plastic and creep crack problems. Finite element analyses are carried out, the fundamental characteristics of ε in continuum model are quantitatively discussed and a method for evaluating ε by εJ-integral is established through these analyses.

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