Journal ArticleDOI
On the computation of mixed-mode stress intensity factors in functionally graded materials
John E. Dolbow,M. Gosz +1 more
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TLDR
In this article, a new interaction energy integral method for the computation of mixed-mode stress intensity factors at the tips of arbitrarily oriented cracks in functionally graded materials is described, where the auxiliary stress and displacement fields are chosen to be the asymptotic near-tip fields for a homogeneous material having the same elastic constants as those found at the crack tip in the functionally graded material.About:
This article is published in International Journal of Solids and Structures.The article was published on 2002-05-01. It has received 250 citations till now. The article focuses on the topics: Functionally graded material & Stress intensity factor.read more
Citations
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Journal ArticleDOI
Modeling and Analysis of Functionally Graded Materials and Structures
Victor Birman,Larry W. Byrd +1 more
TL;DR: Diverse areas relevant to various aspects of theory and applications of FGM include homogenization of particulate FGM, heat transfer issues, stress, stability and dynamic analyses, testing, manufacturing and design, applications, and fracture.
Book
Extended finite element method for fracture analysis of structures
TL;DR: In this paper, the authors present a review of the literature on finite element fracture models and their application in the field of finite element finite element models (FEM) and fracture mechanics.
Journal ArticleDOI
An extended finite element method with higher-order elements for curved cracks
TL;DR: In this paper, a finite element method for linear elastic fracture mechanics using enriched quadratic interpolations is presented, which is enriched with the asymptotic near tip displacement solutions and the Heaviside function so that the finite element approximation is capable of resolving the singular stress field at the crack tip as well as the jump in the displacement field across the crack face.
Journal ArticleDOI
Coupling schemes for modeling hydraulic fracture propagation using the XFEM
TL;DR: In this paper, the authors describe coupled algorithms that use the Extended Finite Element Method (XFEM) to solve the elastic crack component of the elasto-hydrodynamic equations that govern the propagation of hydraulic fractures in an elastic medium.
Journal ArticleDOI
Review: A survey of the extended finite element
TL;DR: In this article, the authors present an overview and recent progress of the extended finite element method X-FEM in the analysis of crack growth modeling, and summarize the important milestones achieved by the finite element community in the arena of computational fracture mechanics.
References
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Journal ArticleDOI
A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks
TL;DR: In this paper, an integral is exhibited which has the same value for all paths surrounding a class of notches in two-dimensional deformation fields of linear or non-linear elastic materials.
Journal ArticleDOI
A finite element method for crack growth without remeshing
TL;DR: In this article, a displacement-based approximation is enriched near a crack by incorporating both discontinuous elds and the near tip asymptotic elds through a partition of unity method.
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 ChapterDOI
The Continuum Theory of Lattice Defects
TL;DR: In this paper, the authors present a discussion on the continuum theory of lattice defects, which is the usual theory of elasticity modified to include internal stress, and discuss some of the background principles and illustrates them by specific examples.
Journal ArticleDOI
Energy release rate along a three-dimensional crack front in a thermally stressed body
TL;DR: In this article, a (area/volume) domain integral expression for the energetic force in a thermally stressed body is derived based on a line-integral expression for energy release rate in terms of crack tip fields, which is valid for general material response.
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Finite element evaluation of mixed mode stress intensity factors in functionally graded materials
Jeong-Ho Kim,Glaucio H. Paulino +1 more