Journal ArticleDOI
Strong discontinuity embedded approach with standard SOS formulation: Element formulation, energy-based crack-tracking strategy, and validations
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TLDR
In this paper, an energy-based crack tracking strategy, originally used in the framework of the XFEM, is modified and implemented into the Strong Discontinuity Embedded Approach (SDA) model.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2015-04-15. It has received 123 citations till now. The article focuses on the topics: Galerkin method & Linear interpolation.read more
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Cracking elements: A self-propagating Strong Discontinuity embedded Approach for quasi-brittle fracture
TL;DR: In this article, a self-propagating Strong Discontinuity Embedded Approach (SDA) for quasi-brittle fracture is presented, which is based on the Statically Optimal Symmetric formulation (SOS) of the SDA using the 8-node quadrilateral element.
Journal ArticleDOI
On the BFGS monolithic algorithm for the unified phase field damage theory
TL;DR: This work proposes in this work, for the first time, to use the Broyden–Fletcher–Goldfarb–Shanno (BFGS) algorithm to solve in a monolithic manner the system of coupled governing equations, rather than the standard Newton one which is notoriously poor for problems involving non-convex energy functional.
Journal ArticleDOI
Cracking elements method for dynamic brittle fracture
TL;DR: The cracking elements (CE) method is a self-propagating strong discontinuity embedded approach with the statically optimal symmetric (SDA-SOS) formulation for simulating the fracture of quasi-brittle materials.
Journal ArticleDOI
An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks
Jian-Ying Wu,Feng-Bo Li +1 more
TL;DR: In this paper, the authors proposed an improved stable XFEM (Is-XFEM) with a novel enrichment function to reconcile the incompatibility between accuracy of the solution and conditioning of the system matrix.
Journal ArticleDOI
A phase-field regularized cohesive zone model for hydrogen assisted cracking
TL;DR: In this paper, a phase-field regularized cohesive zone model (PF-CZM) for hydrogen assisted cracking is proposed, in which two distinct hydrogen enhanced decohesion mechanisms are dealt with by introducing various implicitly defined (via the crack phase field) hydrogen-dependent softening laws.
References
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Journal ArticleDOI
The partition of unity finite element method: Basic theory and applications
Jens Markus Melenk,Ivo Babuška +1 more
TL;DR: In this article, the basic ideas and the mathematical foundation of the partition of unity finite element method (PUFEM) are presented and a detailed and illustrative analysis is given for a one-dimensional model problem.
Book
Variational Methods in Elasticity and Plasticity
TL;DR: In this article, the Statique Reference Record was created on 2004-09-07, modified on 2016-08-08, and was used for Elasticite and Plasticite.
Journal ArticleDOI
Computational modelling of impact damage in brittle materials
G. T. Camacho,Michael Ortiz +1 more
TL;DR: In this paper, a Lagrangian finite element method of fracture and fragmentation in brittle materials is developed, where a cohesive-law fracture model is used to propagate multiple cracks along arbitrary paths.
Journal ArticleDOI
A class of mixed assumed strain methods and the method of incompatible modes
Juan C. Simo,M. S. Rifai +1 more
TL;DR: In this paper, a three-field mixed formulation in terms of displacements, stresses and an enhanced strain field is presented which encompasses, as a particular case, the classical method of incompatible modes.
Journal ArticleDOI
A Model for the Mechanics of Jointed Rock
TL;DR: In this article, a linkage type element is developed for adding rock joint stiffness to the structural stiffness matrix describing the behavior of a system of rock blocks and joints and a new classification of joints is introduced, based on the application of the joint element to finite element analysis of structures in jointed rock.
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