A viscoplastic model with a smooth transition to describe rate-independent plasticity
TL;DR: In this paper, a concept for the analysis of viscoplastic structures is introduced that allows to develop viscplastic material models for steel based on established elastic-plastic constitutive equations.
About: This article is published in International Journal of Plasticity.The article was published on 1994-01-01. It has received 10 citations till now. The article focuses on the topics: Finite element method & Viscoplasticity.
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TL;DR: In this article, a unified implicit stress update algorithm for elastoplastic and elasto-viscoplastic constitutive equations for metals submitted to large deformations is presented.
174 citations
TL;DR: In this article, the authors deal with the simultaneous estimation of parameters used in constitutive laws for modeling inelastic material behavior, and use a least square criterion to estimate the model parameters.
50 citations
TL;DR: In this article, a new viscoplastic constitutive concept is presented to analyze the phenomenon of dynamic strain aging, as well as viscosity, are introduced as the dominant factors of the time-dependent plastic deformation.
30 citations
TL;DR: A new fixed-grid, Eulerian numerical method for simulating quasi- static hypo-elastoplastic solids, whereby the stress is explicitly updated, and then an elliptic problem for the velocity is solved, which is used to orthogonally project the stress to maintain the quasi-staticity constraint.
25 citations
Cites background from "A viscoplastic model with a smooth ..."
...A number of authors developed and analyzed two-step algorithms for rate-independent plasticity, which involve an elastic predictor step followed by a plastic corrector step whereby the stress is projected to the yield surface [41, 42, 43, 44, 45, 46]....
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TL;DR: In this article, a rate-independent finite elastoplastic equations are proposed in unified forms applicable to all loading-unloading cases, which are not subjected to extrinsic restrictive conditions, including the yield condition as well as the loadingunloading conditions.
Abstract: New rate-independent finite elastoplastic equations are proposed in unified forms applicable to all loading-unloading cases. A departure from the classical elastoplastic equations is that these new equations are not subjected to and hence free from the usual extrinsic restrictive conditions, including the yield condition as well as the loading-unloading conditions. Such free equations are of Eulerian rate type and assume the same smooth form for all possible stresses and for all strain rates. It is demonstrated that the essential representative features of finite elastoplastic deformations, namely, the yield behavior and the loading-unloading behavior in the traditional sense, may be derived from and hence naturally incorporated as intrinsic physical characteristics into the free elastoplastic equations proposed in a more realistic sense and, in particular, the classical notions characterizing these features are found to exhibit novel, perhaps more profound physical meanings in the new equations. Furthermore, the strong discontinuity in tangent moduli at transition from elastic to plastic state, involved in the traditional formulation, is shown to be replaced by a smooth transition. Implications are discussed in respects of constitutive implications and numerical treatment.
22 citations
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TL;DR: In this article, the authors generalize one-im ion ion l con itutive equitives for r te-sensi ive plastic materials to general sta s of s ress.
Abstract: : The principal im is to generalize h one- im ion l con itutive equ tions for r te-sensi ive plastic materials to general sta s of s ress. T HE DYNAMIC L YIELD CONDITIONS FOR LASTIC, VISCO-PLASTIC MATERIALS ARE DISCUS ED A D NEW R L XATION FUNCTIONS ARE INTRODUCED. S OLUTION OF THE RELAXATION EQUATIONS FOR SUCH MATERIALS ARE GIVEN. (Author)
799 citations
TL;DR: Mise au point d'un modele mathematique de l'ecoulement plastique ou viscoplastique de laisse un alliage refractaire IN 100.
Abstract: Mise au point d'un modele mathematique de l'ecoulement plastique ou viscoplastique. Application a un alliage refractaire IN 100
698 citations
422 citations