A note on the calculation of consistent tangent operators for von Mises and Drucker-Prager plasticity
R. de Borst,A.E. Groen +1 more
Reads0
Chats0
TLDR
In this paper, a comparison of implementations of consistent tangent operators that arise in implicit integration of Von Mises and Drucker-Prager yield criteria is made, and the consequences of different formulations of the tangent operator on the numerical accuracy are assessed.Abstract:
A comparison is made of implementations of consistent tangent operators that arise in implicit integration of Von Mises and Drucker-Prager yield criteria. When computing the consistent tangent operator a matrix inversion has to be performed at integration point level. The consequences of different formulations of the consistent tangent operator on the numerical accuracy are assessed.read more
Citations
More filters
Journal ArticleDOI
On coupled gradient-dependent plasticity and damage theories with a view to localization analysis
TL;DR: In this paper, a constitutive model incorporating a Laplacian of a strain measure and an internal length parameter associated with it is proposed for finite element simulations of localization in a one-dimensional model problem.
Journal ArticleDOI
Implicit integration and consistent linearization for yield criteria of the Mohr-Coulomb type
Ragnar Larsson,Kenneth Runesson +1 more
TL;DR: In this article, the authors derived the explicit expression for the integrated stress along with a flow rule that represents volumetric non-associativity for yield criteria of the Mohr-Coulomb type for elastic and plastic isotropy.
Efficient Non-Linear Finite Element Implementation of Elasto-Plasticity for Geotechnical Problems
TL;DR: In this paper, an efficient return algorithm for stress update in numerical plasticity computations is presented, where the yield criterion must be linear in principal stress space and can be composed of any number of yield planes.
Journal ArticleDOI
The Benefits of Using a Consistent Tangent Operator for Viscoelastoplastic Computations in Geodynamics
Thibault Duretz,Thibault Duretz,Alban Souche,Alban Souche,René de Borst,Laetitia Le Pourhiet +5 more
TL;DR: In this article, a consistent linearization of the time-discretized elastoplastic relation and the finite difference method is proposed to solve the problem of strain localization at kilometer scale.
Journal ArticleDOI
Phase field modeling of frictional slip with slip weakening/strengthening under non-isothermal conditions
Eric Cushman Bryant,WaiChing Sun +1 more
TL;DR: In this paper, a regularized constitutive law for the slip weakening/strengthening at different loading rates and temperature regimes is proposed to capture the coupling between the bulk and interfacial plasticity.
References
More filters
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
Numerical technique in plasticity including solution advancement control
TL;DR: In this article, numerical techniques applied to the consistent formulation of plasticity, which is based on convex analysis, are investigated and a few numerical examples with proportional and non-proportional loading are analyzed.
Related Papers (5)
A general approach to the evaluation of consistent tangent operators for rate-independent elastoplasticity
Giulio Alfano,Luciano Rosati +1 more