Constitutive relations of micromorphic thermoplasticity |
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| Affiliation: | 1. Department of Electronic Engineering, I-Shou University, Kaohsiung, Taiwan;2. ASE Test, Inc., 10, west 5th street N.E.P.Z., Kaohsiung, Taiwan;1. College of Applied Chemistry, Shenyang University of Chemical Technology, Shenyang 110142, China;2. Alan G. MacDiarmid Lab College of Chemistry, Jilin University, Changchun 130023, China;1. Institute of Mechanics, TU Dortmund, Leonhard-Euler-Str. 5, D-44227 Dortmund, Germany;2. Faculty of Physics and CENIDE, University of Duisburg-Essen, Lotharstr. 1, D-47057 Duisburg, Germany;1. Laboratoire Brestois de Mécanique et des Systèmes (EA 4325), ENSTA Bretagne/UBO/ENIB, 2 rue F. Verny, 29806 Brest Cedex 9, France;2. TrelleborgVibracoustic, Z.I. Nantes Carquefou, BP10419, 44474 Carquefou Cedex, France;1. ENSTA Bretagne, Institut de Recherche Dupuy de Lôme (IRDL), UMR CNRS 6027, Brest, France;2. Safran Composites, Itteville, France;3. Safran Landing Systems, Vélizy, France |
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| Abstract: | The constitutive theory of micromorphic thermoplasticity has been formulated in Lagrangian form. The generalized Lagrangian strains, strain rates, temperature, temperature rate and temperature gradients are considered as the independent constitutive variables. Internal variables, including generalized Lagrangian plastic strains, are incorporated. The axioms of objectivity and equipresence are strictly followed. The entropy inequality has been fully utilized to guide the derivations of the constitutive relations. No restrictive assumption has been made to the magnitude of any independent constitutive variables. Finite element formulations for micromorphic thermoplasticity are developed based on the balance laws and the constitutive theory. |
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