caa a22 4500 46795500X CHVBK 20180405193746.0 cr unu---uuuuu 170328e20041001xx s 000 0 eng 10.1007/s00419-004-0339-4 doi (NATIONALLICENCE)springer-10.1007/s00419-004-0339-4 (NATIONALLICENCE)springer-10.1007/BF02637210 A constitutive model for orthotropic elasto-plasticity at large strains [Elektronische Daten] [M. Itskov, N. Aksel] Summary: The paper presents a thermodynamically consistent constitutive model for elasto-plastic analysis of orthotropic materials at large strain. The elastic and plastic anisotropies are assumed to be persistent in the material but the anisotropy axes can undergo a rigid rotation due to large plastic deformations. The orthotropic yield function is formulated in terms of the generally nonsymmetric Mandel stress tensor such that its skew-symmetric part is additionally taken into account. Special attention is focused on the convexity of the yield surface resulting in the nine-dimensional stress space. Of particular interest are new convexity conditions which do not appear in the classical theory of anisotropic plasticity. They impose additional constraints on the material constants governing the plastic spin. The role of the plastic spin is further studied in simple shear accompanied by large elastic and large plastic deformations. If the plastic spin is neglected, the shear stress response is characterized by oscillations with an amplitude strictly dependent on the degree of the plastic anisotropy. Springer-Verlag Berlin Heidelberg, 2004 Orthotropic plasticity nationallicence Large strains nationallicence Structural tensor nationallicence Yield function nationallicence Plastic spin nationallicence Finite simple shear nationallicence Itskov M. Department of Continuum Mechanics, RWTH Aachen University, D-52056, Aachen, Germany aut Aksel N. Department of Applied Mechanics and Fluid Dynamics, University of Bayreuth Universitätsstraße 30, 95440, Bayreuth, Germany aut Archive of Applied Mechanics Springer-Verlag 74/1-2(2004-10-01), 75-91 0939-1533 74:1-2<75 2004 74 419 https://doi.org/10.1007/s00419-004-0339-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-004-0339-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aksel N. Department of Applied Mechanics and Fluid Dynamics, University of Bayreuth Universitätsstraße 30, 95440, Bayreuth, Germany aut NATIONALLICENCE 700 1- Itskov M. Department of Continuum Mechanics, RWTH Aachen University, D-52056, Aachen, Germany aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 74/1-2(2004-10-01), 75-91 0939-1533 74:1-2<75 2004 74 419 NATIONALLICENCE 700 1- Aksel N. Department of Applied Mechanics and Fluid Dynamics University of Bayreuth, Universitätsstraße 30, 95440, Bayreuth, Germany aut NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02637210 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer