Journal ArticleDOI
Accurate stress updating algorithm based on constant strain rate assumption
Mathias Wallin,Matti Ristinmaa +1 more
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This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2001-08-03. It has received 27 citations till now. The article focuses on the topics: Cauchy elastic material & Constitutive equation.read more
Citations
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Exact integration of the von Mises elastoplasticity model with combined linear isotropic-kinematic hardening
Attila Kossa,László Szabó +1 more
TL;DR: In this article, two semi-analytical solutions for the von Mises elastoplasticity model governed by combined linear isotropic-kinematic hardening are presented.
Journal ArticleDOI
Patient-specific simulation of a stentless aortic valve implant: the impact of fibres on leaflet performance
TL;DR: Within this framework, using a novel computational methodology to simulate stentless valve implantation, the impact of using different material models on both the stress pattern and post-operative coaptation parameters is tested and results suggest that the material properties of the valve leaflets affect significantly thePost-operative prosthesis performance.
Journal ArticleDOI
Substepping algorithms with stress correction for the simulation of sheet metal forming process
TL;DR: The results indicate that the explicit schemes with local truncation error control, together with a subsequent check of the consistency conditions, can achieve the same or even better level of accuracy as “return” algorithm does for integrating large plastic problems like sheet metal forming process.
Journal ArticleDOI
Accelerating crystal plasticity simulations using GPU multiprocessors
TL;DR: Different strategies for the numerical implementation of crystal plasticity are investigated as well as a number of approaches to parallelization of the program execution, and a major concern is the limited amount of memory available on the GPU.
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Iterative LCP solvers for non‐local loading–unloading conditions
Elena Benvenuti,Antonio Tralli +1 more
TL;DR: In this article, a finite element analysis of a certain class of non-local dissipative constitutive models, where the canonical pointwise backward-Euler scheme cannot be employed for satisfying the loading-unloading conditions, is presented.
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.
Journal ArticleDOI
A family of embedded Runge-Kutta formulae
J. R. Dormand,P.J. Prince +1 more
TL;DR: In this article, a family of embedded Runge-Kutta formulae RK5 (4) are derived from these and a small principal truncation term in the fifth order and extended regions of absolute stability.
Book
A Course on Damage Mechanics
TL;DR: In this article, the authors present a detailed analysis of the physical properties of the solid state and damage, including elasticity, deformation, shrinkage, and elasticity of the material.
Journal ArticleDOI
Consistent tangent operators for rate-independent elastoplasticity☆
Juan C. Simo,R.L. Taylor +1 more
TL;DR: In this paper, it is shown that consistency between the tangent operator and the integration algorithm employed in the solution of the incremental problem plays crucial role in preserving the quadratic rate of asymptotic convergence of iterative solution schemes based upon Newton's method.
Journal ArticleDOI
Thermodynamics with Internal State Variables
TL;DR: In this paper, the authors study the thermodynamics of nonlinear materials with internal state variables whose temporal evolution is governed by ordinary differential equations, and employ a method developed by Coleman and Noll to find the general restrictions which the Clausius-Duhem inequality places on response functions.
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