Journal ArticleDOI
Application of Adaptive Phase-Field Scaled Boundary Finite Element Method for Functionally Graded Materials
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In this article, an adaptive phase-field scaled boundary finite element method for fracture in functionally graded material (FGM) is presented, which accounts for spatial variation in the materia...Abstract:
In this paper, an adaptive phase-field scaled boundary finite element method for fracture in functionally graded material (FGM) is presented. The model accounts for spatial variation in the materia...read more
Citations
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Proceedings Article
The scaled boundary finite-element method – a primer: derivations
John P. Wolf,Chongmin Song +1 more
TL;DR: In this paper, the LCH-CONF-1998-009 Record created on 2007-04-24, modified on 2016-08-08, was used as a reference.
Journal ArticleDOI
A non-intrusive stochastic phase field method for crack propagation in functionally graded materials
TL;DR: In this article, a non-intrusive phase field method was proposed to study the quasi-static brittle fracture in functionally graded materials with random material properties using polynomial chaos expansion.
Journal ArticleDOI
A gradient-enhanced plasticity based phase-field model for ductile fracture simulations
TL;DR: In this article , a non-local integral-type plasticity model is proposed to model the deformation of a single-edged notched plate under axial compression and shear-dominated stress states.
References
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Journal ArticleDOI
A simple error estimator and adaptive procedure for practical engineerng analysis
O. C. Zienkiewicz,J. Z. Zhu +1 more
TL;DR: A new error estimator is presented which is not only reasonably accurate but whose evaluation is computationally so simple that it can be readily implemented in existing finite element codes.
Journal ArticleDOI
The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique
O. C. Zienkiewicz,J. Z. Zhu +1 more
TL;DR: In this article, a general recovery technique is developed for determining the derivatives (stresses) of the finite element solutions at nodes, which has been tested for a group of widely used linear, quadratic and cubic elements for both one and two dimensional problems.
Journal ArticleDOI
A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits
TL;DR: In this paper, a variational framework for rate-independent diffusive fracture was proposed based on the introduction of a local history field, which contains a maximum reference energy obtained in the deformation history, which may be considered as a measure for the maximum tensile strain obtained in history.
Journal ArticleDOI
FGM activities in Japan
TL;DR: The concept of functionally graded materials (FGMs) was proposed in 1984 by materials scientists in the Sendai area as a means of preparing thermal barrier materials as discussed by the authors, which results in gradients in such properties as mechanical strength and thermal conductivity.
Journal ArticleDOI
A review on phase-field models of brittle fracture and a new fast hybrid formulation
TL;DR: In this article, the authors provide an overview of the existing quasi-static and dynamic phase-field fracture formulations from the physics and the mechanics communities, and propose and test the so-called hybrid formulation, which leads within a staggered implementation to an incrementally linear problem.