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Shape design sensitivity analysis of viscoplastic structures

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TLDR
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.
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This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1993-09-01. It has received 25 citations till now. The article focuses on the topics: Finite difference method & Nonlinear system.

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Citations
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Parameter sensitivity and importance measures in nonlinear finite element reliability analysis

TL;DR: In this paper, the authors developed unified response sensitivity equations with respect to material, load, and geometry parameters for the time and space-discretized finite element model and implemented them in the comprehensive, open-source, object-orie...
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A sensitivity analysis for the optimal design of metal-forming processes

TL;DR: In this article, a sensitivity analysis for large deformation hyperelastic viscoplastic solids is presented that is consistent with the kinematic analysis and the constitutive integration scheme used in the updated Lagrangian method for solving the direct deformation problem.
Journal ArticleDOI

Variational principle for shape design sensitivity analysis

TL;DR: In this article, the adjoint method of design sensitivity analysis is stated as a general variational principle that is applicable to a wide range of problems, such as field problems, structural problems, and dynamic response problems.
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Three-dimensional shape optimization with variational geometry

TL;DR: For shape optimization methods to be fully accepted by the engineering community they must first be integrated with CAD systems, and here the critical link between these CAD and FEM data is developed within an industry standard feature-based modelling environment.
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Inverse problems in finite element simulation of metal forming processes

TL;DR: In this article, the inverse problems arising from the simulation of forming processes are considered and solved using an optimization method for the minimization of a suitable objective function, and the convergence and convergence rate of the method depend on the accuracy of the derivatives of this function.
References
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Book

The finite element method

TL;DR: In this article, the methodes are numeriques and the fonction de forme reference record created on 2005-11-18, modified on 2016-08-08.
Book

Finite element procedures in engineering analysis

TL;DR: Elements finis Reference Record created on 2004-09-07, modified on 2016-08-08.
Journal ArticleDOI

Elastic-Plastic Deformation at Finite Strains

TL;DR: In this paper, the authors generalize a previous theory to permit arbitrary deformation histories by considering two coupled thermodynamic systems: one comprising thermo- elasticity at finite strain and the other the irreversible process of dissipation and absorption of plastic work.
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Constitutive equations for cyclic plasticity and cyclic viscoplasticity

TL;DR: In this paper, the cyclic constitutive equations developed and used at ONERA and LMT-Cachan are presented in detail in terms of a hierarchy of various models, including the Ohno-Kachi time-independent plasticity theory, two unified viscoplastic models by Walker and by Krempl and Yao, the new developments of the endochronic theory by Watanabe and Atluri.
Journal ArticleDOI

On the Plastic and Viscoplastic Constitutive Equations—Part I: Rules Developed With Internal Variable Concept

TL;DR: Mise au point d'un modele mathematique de l'ecoulement plastique ou viscoplastique de laisse un alliage refractaire IN 100.
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