Constitutive modeling of cyclic plasticity and creep,using an internal time concept |
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| Affiliation: | 1. University Institute of Engineering and Technology, Panjab University, Chandigarh, India;2. DAV College, Chandigarh, India;3. Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India;1. School of Urban Rail Transportation, Soochow University, Suzhou, 215131, PR China;2. Department of Civil Engineering and Engineering Mechanics, Columbia University, USA;3. Department of Civil and Environmental Engineering, University of Delaware, USA;1. Emeritus, Institute of Soil and Rock Mechanics, Karlsruhe Institute of Technology, Germany;2. Karlsruhe, Germany;1. Northwestern University, Department of Civil and Environmental Engineering, 2145 Sheridan Road, Evanston, IL 60208, USA;2. Università degli Studi di Milano-Bicocca, Dipartimento di Scienze dell''Ambiente e del Territorio e di Scienze della Terra, Piazza della Scienza 4,20126 Milano, Italy |
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| Abstract: | Using the concept of an internal time as related to plastic strains, a differntial stress-strain relation for elastoplasticity is rederived, such that (i) the concept of a yield-surface is retained; (ii) the definitions of elastic and plastic processes are analogous to those in classical plasticity theory; and (iii) its computational implementation, via a “tangent-stiffness” finite element method and a “generalized-midpoint-radial-return” stress-integration algorithm, is simple and efficient. Also, using the concept of an internal time, as related to both the inelastic strains as well as the Newtonian time, a constitutive model for creep-plasticity interaction, is discussed. The problem of modeling experimental data for plasticity and creep, by the present analytical relations, as accurately as desired, is discussed. Numerical examples which illustrate the validity of the present relations are presented for the cases of cyclic plasticity and creep. |
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