Abstract
A J ̃ 1- integral is investigated for a material characterized by an incremental plasticity model under the non- J-controlled crack growth situation. The path independency of the integral, as well as its physical significance, are examined for an extensively extended crack. It is concluded that the J ̃ 1- integral can be a new fracture parameter in elastic-plastic fracture mechanics. Compact tension (CT) specimens are modelled by means of the elastic-plastic finite element method to simulate the stable growth of a crack and to evaluate the whole field solution fracture parameters. The computed results give the limit for J-controlled growth and show some good numerical characteristics of the J ̃ 1-integral during non J-controlled growth.
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