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Fracture parameter for thermoplasticity in the case of dilatation symmetry

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2001
auteur(s) Sansen Pascal; Dufrenoy Philippe; Weichert Dieter
journal (abréviation) International Journal of Fracture (Int. J. Fract.)
volume (numéro) 111 (4)
  
pages 61 – 66
résumé An extension of the M integral to thermoplasticity related to the dilatational or scaling symmetry is presented. Based on a discrete Lagrangian describing the thermoinelastic system andon 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.
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