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Path-independent integral for the dilatation symetry group in thermoplasticity

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2002
auteur(s) Sansen Pascal; Dufrenoy Philippe; Weichert Dieter
journal (abréviation) International Journal of Fracture (Int J Fract)
volume (numéro) 117 (4)
  
pages 337 – 346
résumé 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.
mots clés thermoplasticity, dilatational symmetry, thermomechanical loading
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