On the numerical integration of elasto-plastic constitutive model structures for nonproportional cyclic loading |
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| Affiliation: | 1. ENSAM-Arts et Métiers ParisTech, Laboratory of Design, Manufacturing and Control (LCFC), 57070 Metz, France;2. Lorraine University, ENSAM-Arts et Métiers ParisTech, Laboratory of Microstructure Studies and Mechanics of Materials (LEM3), UMR CNRS 7239, 57078 Metz, France;3. Chair of Excellence, Department of Mechanical Engineering, University Carlos III of Madrid, Avda. Universidad 30, 28911 Leganés, Madrid, Spain;4. International University of Agadir, Universiapolis, Ecole Polytechnique d''Agadir Bab Al Madina, Agadir, Morocco;5. Institute for Innovation in Sustainable Engineering, College of Engineering and Technology, University of Derby, Quaker Way, Derby, DE1 3HD, UK;1. Graduate School of Engineering, The University of Tokyo, Japan;2. Institute of Industrial Science, The University of Tokyo, Japan |
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| Abstract: | The classical Runge-Kutta method with Gill coefficients, a non-iterative Adams predictorcorrector method, an Euler's method with automatic step-size control, an iterative Adams predictorcorrector method with automatic step-size control and Gear's method are the numerical solution algorithms considered in this study. Their computational accuracy and efficiency are evaluated for two cases of axial-torsional loading with transient, nonproportional, cyclic plasticity. The constitive equations implemented include a modified classical single-surface theory, a two-surface theory and a unified creep-plasticity or state variable theory. |
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