Journal ArticleDOI
Finite rotation effects in numerical integration of rate constitutive equations arising in large‐deformation analysis
Thomas J. R. Hughes,James Winget +1 more
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In this article, an improved algorithm is presented for integrating rate constitutive equations in large deformation analysis, and the algorithm is shown to be "objective" with respect to large rotation increments.Abstract:
An improved algorithm is presented for integrating rate constitutive equations in large-deformation analysis. The algorithm is shown to be ‘objective’ with respect to large rotation increments.read more
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BookDOI
Non-Linear Finite Element Analysis of Solids and Structures: de Borst/Non-Linear Finite Element Analysis of Solids and Structures
TL;DR: De Borst et al. as mentioned in this paper present a condensed version of the original book with a focus on non-linear finite element technology, including nonlinear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity.
Book
Dynamics of multibody systems
TL;DR: In this article, the authors propose a floating frame of reference formulation for large deformation problems in linear algebra, based on reference kinematics and finite element formulation for deformable bodies.
Journal ArticleDOI
Computational methods in Lagrangian and Eulerian hydrocodes
TL;DR: The basic explicit finite element and finite difference methods that are currently used to solve transient, large deformation problems in solid mechanics are reviewed.
Journal ArticleDOI
A three-dimensional finite-strain rod model. Part II: Computational aspects
Juan C. Simo,Loc Vu-Quoc +1 more
TL;DR: In this article, a variational formulation and computational aspects of a three-dimensional finite-strain rod model, considered in Part I, are presented, which bypasses the singularity typically associated with the use of Euler angles.
References
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Journal ArticleDOI
Finite element formulations for problems of large elastic-plastic deformation
TL;DR: In this article, an Eulerian finite element formulation for large elastic-plastic flow is presented, based on Hill's variational principle for incremental deformations, and is suited to isotropically hardening Prandtl-Reuss materials.
Journal ArticleDOI
Accurate Numerical Solutions for Elastic-Plastic Models
TL;DR: In this article, the accuracy of two integration algorithms for the common engineering condition of a von Mises, isotropic hardening model under plane stress was studied for a single-dimensional model, and errors in stress predictions for given total strain increments were expressed with contour plots of two parameters: an angle in the pi plane and the difference between the exact and computed yield-surface radii.