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S25 Métodos Numéricos |
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Title:
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ELASTOPLASTICITY WITH DAMAGE CONSIDERATIONS IN THE ANALYSIS OF THICK PLATES
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Summary :
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ABSTRACT. THE OBJECTIVE OF THIS WORK IS TO PRESENT A THEORY AND TO PROPOSE A NUMERICAL SCHEME FOR THE ELASTOPLASTIC WITH DAMAGE ANALYSIS OF THICK PLATES, SUBJECTED TO A CYCLIC LOADING. THE THEORY IS BASED ON THE WORK DONE BY LEMAITRE (1992) AND IT IS BASED ON THE THERMODYNAMICS OF IRREVERSIBLE PROCESSES. THE ELASTOPLASTIC MODEL CONSIDERS A NONLINEAR ISOTROPIC AND CINEMATIC HARDENING LAW, WHICH DEPENDS ON THE ACCUMULATE PLASTIC DEFORMATION AND PRESENTS A SATURATION LEVEL IN ORDER TO CHARACTERIZE A STABILIZATION OF THE HARDENING PHENOMENA. MOREOVER, THE MODEL CONSIDERS THE DAMAGE TO BE ISOTROPIC. WITH THE OBJECTIVE OF SOLVING THICK PLATE PROBLEMS, WE MAKE USE OF A HIGHER ORDER PLATE THEORY. THE DISCRETIZATION OF THE CYCLIC ELASTOPLASTIC WITH DAMAGE PROBLEM EMPLOYS: THE GALERKIN FINITE ELEMENT METHOD, FOR THE DISCRETIZATION OF THE GEOMETRIC DOMAIN; AND THE GENERALIZED TRAPEZOIDAL INTEGRATION RULE FOR THE TIME EVOLUTION PROCESS. IN ORDER TO INTEGRATE THE LOCAL EVOLUTION EQUATIONS WE MAKE USE OF AN "ELASTIC WITH DAMAGE PREDICTOR WITH A PLASTIC CORRECTOR SCHEME". THIS ALGORITHM, PRESENTED BY SIMO & TAYLOR (1986) AND GENERALIZED BY BENALLAL ET AL. (1988), BELONGS TO THE CLASS OF THE "RETURN MAPPING ALGORITHMS", PRESENTS A QUADRATIC CONVERGENCE RATE, AND IS QUITE ROBUST.
KEY WORDS. DAMAGE, PLASTICITY, PLATES, FATIGUE, FEM.
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Author :
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Alves, Marcelo Krajnc
Costa Jr, João Arantes
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Paper View :
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