Journal ArticleDOI
The crack problem for nonhomogeneous materials under antiplane shear loading — a displacement based formulation
TLDR
In this article, a displacement-based integral equation formulation for the mode III crack problem in a nonhomogeneous medium with a continuously differentiable shear modulus is presented, which leads naturally to a hypersingular integral equation.About:
This article is published in International Journal of Solids and Structures.The article was published on 2001-04-01. It has received 86 citations till now. The article focuses on the topics: Antiplane shear & Integral equation.read more
Citations
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Journal ArticleDOI
Singular Integral Equations. By N.I. Muskhelishvili. Translated fromthe 2nd Russian edition by J.R.M. Radok. Pp. 447. F1. 28.50. 1953. (Noordhoff, Groningen)
On the solution of integral equations with strong ly singular kernels
A. C. Kaya,F. Erdogan +1 more
TL;DR: In this paper, some useful formulas are developed to evaluate integrals having a singularity of the form (t-x) sup-m, m, m or = 1.
Journal ArticleDOI
Cracks in functionally graded materials
H.-A. Bahr,Herbert Balke,Theo Fett,I. Hofinger,G. Kirchhoff,Dietrich Munz,A Neubrand,Artem S. Semenov,H.-J. Weiss,Y.Y. Yang +9 more
TL;DR: In this paper, failure of thermal barrier coatings (TBCs) under cyclic surface heating by laser irradiation is modeled on the basis of fracture mechanics, which can be understood as an effect of progressive shrinkage due to sintering and high-temperature creep during thermal cycling, which increases the energy-release rate for vertical cracks which subsequently turn into delamination cracks.
Journal ArticleDOI
Consistent Formulations of the Interaction Integral Method for Fracture of Functionally Graded Materials
Jeong-Ho Kim,Glaucio H. Paulino +1 more
TL;DR: In this paper, a critical comparison of the three consistent formulations of the interaction integral is presented, both from a theoretical point of view and also by means of numerical examples, where the numerical implementation is based on finite elements which account for the spatial gradation of material properties at the element level.
Journal ArticleDOI
Elastic analysis for thick cylinders and spherical pressure vessels made of functionally graded materials
Y.Z. Chen,X.Y. Lin +1 more
TL;DR: In this article, an elastic analysis for a thick cylinder made of functionally graded materials (FGMs) is carried out, where the property of FGMs is assumed to be exponential function form.
References
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Journal ArticleDOI
Singular Integral Equations. By N.I. Muskhelishvili. Translated fromthe 2nd Russian edition by J.R.M. Radok. Pp. 447. F1. 28.50. 1953. (Noordhoff, Groningen)
BookDOI
Functionally Graded Materials
Book ChapterDOI
Numerical solution of singular integral equations
TL;DR: In this paper, the numerical methods for the solution of two groups of singular integral equations are described, which arise from the formulation of the mixed boundary value problems in applied physics and engineering.
Book ChapterDOI
Mechanics of Fracture
TL;DR: In this article, the theoretical strength of crystalline solids is derived based on idealised forms of atomic force-displacement curves, in which the force is defined as the differential with respect to distance of the interatomic or inter-ionic energy.