Path-independent integral for the dilatation symmetry group in thermoplasticity
Source abstract
Abstract
The aim of this study is to establish a fatigue criteria based on an energy threshold corresponding to crack initiation in the case of dilatational symmetry of a structure under thermomechanical loading. An extension of the M integral to thermoplasticity relating to the scaling symmetry is presented. Based on a discrete Lagrangian describing the thermo-inelastic system and Noether's theorem defining the conservation law, the null Lagrangian theorem is applied in order to introduce thermoplasticity. By the use of the divergence theorem, the modified M integral is obtained. Path-domain independence is discussed illustrated by a numerical example.
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Research context
OpenAlex topics: Fatigue and fracture mechanics · Numerical methods in engineering · Material Properties and Failure Mechanisms
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References (16)
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