Journal ArticleDOI
Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity
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TLDR
In this article, an algorithm for the numerical computation of so-called consistent tangent moduli in finite inelasticity is presented, where the moduli determine the sensitivity of algorithmic expressions for stresses with respect to the change in total deformation.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1996-08-01. It has received 289 citations till now. The article focuses on the topics: Finite difference & Computation.read more
Citations
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Multi-scale second-order computational homogenization of multi-phase materials : a nested finite element solution strategy
TL;DR: In this paper, a second-order computational homogenization approach is applied for the multi-scale analysis of simple shear of a constrained heterogeneous strip, where a pronounced boundary size effect appears.
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Computational homogenization analysis in finite plasticity Simulation of texture development in polycrystalline materials
TL;DR: In this paper, the deformation of a micro-structure is coupled with the local deformation at a typical material point of the macro-continuum by three alternative constraints of the microscopic fluctuation field.
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A micro-macro approach to rubber-like materials—Part I: the non-affine micro-sphere model of rubber elasticity
TL;DR: In this article, a micro-mechanically based network model for the description of the elastic response of rubbery polymers at large strains and details of its numerical implementation are presented.
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A structural model for the viscoelastic behavior of arterial walls: Continuum formulation and finite element analysis
TL;DR: In this paper, a two-layer structural model is proposed for predicting reliably the passive (unstimulated) time-dependent three-dimensional stress and deformation states of healthy young arterial walls under various loading conditions.
Computational homogenization for the multi-scale analysis of multi-phase materials
TL;DR: A submitted manuscript is the version of the article upon submission and before peer-review as mentioned in this paper, while a published version is the final layout of the paper including the volume, issue and page numbers.
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
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
TL;DR: In this paper, Schnabel proposed a modular system of algorithms for unconstrained minimization and nonlinear equations, based on Newton's method for solving one equation in one unknown convergence of sequences of real numbers.
Book
Numerical methods for unconstrained optimization and nonlinear equations
TL;DR: Newton's Method for Nonlinear Equations and Unconstrained Minimization and methods for solving nonlinear least-squares problems with Special Structure.
Book
Linear and nonlinear programming
David G. Luenberger,Yinyu Ye +1 more
TL;DR: Strodiot and Zentralblatt as discussed by the authors introduced the concept of unconstrained optimization, which is a generalization of linear programming, and showed that it is possible to obtain convergence properties for both standard and accelerated steepest descent methods.