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Formulation DNLR intégrale des lois de comportement : généralisation du principe de superposition de BoltzmannDNLR integral formulation of behaviour laws: generalisation of Boltzmann's superposition principle. |
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| Authors: | Boris Martin Zoubir Ayadi Michel Nivoit André Galtier Christian Cunat |
| Affiliation: | 1. LSGS-INPL, EEIGM, 6, rue Bastien Lepage, 54010 Nancy cedex, France;2. ARCELOR R&D-IRSID, voie Romaine, 57283 Maizières les Metz cedex, France;3. LEMTA-INPL, ENSEM, 2, avenue de la forêt de Haye, 54500 Vandoeuvre lès Nancy, France |
| Abstract: | A thermodynamic approach of relaxation phenomena called DNLR (Distribution of Non Linear Relaxations) has been employed for about fifteen years to describe the behaviour of materials. In this Note, we show that different DNLR constitutive equations, initially written in a rate formulation, can be put in a time-integrated (hereditary) form which generalises the superposition principle to non linear fields like viscoplasticity or damage behaviours. To cite this article: B. Martin et al., C. R. Mecanique 332 (2004). |
| Keywords: | Milieux continus Lois de comportement Thermodynamique de la relaxation Principe de superposition Formulation intégrale Continuum mechanics Constitutive laws Thermodynamics of relaxation Superposition principle Integral formulation |
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