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A new uniformly valid asymptotic integration algorithm for elasto‐plastic creep and unified viscoplastic theories including continuum damage
Abhisak Chulya,Kevin P. Walker +1 more
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In this paper, a new scheme to integrate a system of stiff differential equations for both the elasto-plastic creep and the unified viscoplastic theories is presented, which has high stability, allows large time increments, and is implicit and iterative.Abstract:
A new scheme to integrate a system of stiff differential equations for both the elasto-plastic creep and the unified viscoplastic theories is presented. The method has high stability, allows large time increments, and is implicit and iterative. It is suitable for use with continuum damage theories. The scheme was incorporated into MARC, a commercial finite element code through a user subroutine called HYPELA. Results from numerical problems under complex loading histories are presented for both small and large scale analysis. To demonstrate the scheme's accuracy and efficiency, comparisons to a self-adaptive forward Euler method are made.read more
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Analysis of the anisotropic viscoplastic-damage response of composite laminates - Continuum basis and computational algorithms
Atef F. Saleeb,T. E. Wilt +1 more
TL;DR: The mathematical structure underlying the rate equations of a recently developed constitutive model for the coupled viscoplastic-damage response of anisotropic composites is critically examined in this paper, where a number of tensor projection operators have been identified and their properties were exploited to enable the development of a general computational framework for their numerical implementation using the Euler fully-implicit integration method.
Journal ArticleDOI
A universal integration algorithm for rate-dependent elastoplasticity
P.A. Fotiu,Sia Nemat-Nasser +1 more
TL;DR: In this article, an algorithm for integrating rate-dependent constitutive equations of elstoplasticity including isotropic and kinematic hardening, as well as thermal softening and non-coaxiality of the plastic strain rate and the driving stress was developed.
Journal ArticleDOI
Shape design sensitivity analysis of viscoplastic structures
TL;DR: In this paper, a design sensitivity analysis of nonlinear viscoplastic structures is developed in the continuum form starting from Hamilton's principle, where constitutive models based on internal variable theory are incorporated in response analysis.
Robust integration schemes for generalized viscoplasticity with internal-state variables. Part 1: Theoretical developments and applications
Atef F. Saleeb,Wei Li +1 more
TL;DR: In this paper, the implicit time-stepping integrators for the flow and evolution equations in generalized viscoplastic models are developed on the basis of the unconditionally stable, backward-Euler difference scheme as a starting point.
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Integral Formulation of Coupled Damage and Viscoplastic Constitutive Equations: Formulation and Computational Issues
K. Nesnas,Khemais Saanouni +1 more
TL;DR: In this article, well-known differential elasto-viscoplastic constitutive equations, accounting for hardening and damage, are reformulated into integral form in order to propose an efficient implicit integration scheme.
References
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