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Theory of creep deformation with kinematic hardening for materials with different properties in tension and compression
Institution:1. Department of Material Technology, Chemistry block II, Norwegian University of Science and Technology, Trondheim N-7491, Norway;2. Computational Solid Mechanics Laboratory, Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge LA 70803, USA;1. Department of Materials Engineering, Monash University, Melbourne, Victoria 3800, Australia;2. Department of Materials Science and Engineering, The Ohio State University, 2041 College Road, Columbus, OH 43210, USA;1. Department of Mechanical Engineering, Imperial College London, London SW7 2AZ, UK;2. The First Aircraft Institute, Xi''an, PR China
Abstract:A constitutive model for creep deformation that describes the loading-history-dependent behavior of initially isotropic materials with different properties in tension and compression under stress vector rotations limited by 50–60° is presented within a thermodynamic framework. In the proposed constitutive model a kinematic hardening rule is adopted. This model also introduces an effective equivalent stress in the creep potential that is based on the first and second invariants of the effective stress tensor, and on the joint invariant of the effective stress tensor and eigenvector associated with the maximum principal Cauchy stress. The formulation of the kinematic hardening rule is presented and discussed. All the material parameters in the model have been obtained from a series of proposed basic experiments with constant stresses. These model parameters are then used to predict the creep deformation of the aluminum alloy under multiaxial loading with constant stresses, and under non-proportional uniaxial and non-proportional multiaxial loadings for both isothermal and nonisothermal processes.
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