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Journal ArticleDOI

The stress intensity factors of a radial crack in a finite elastic disc

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TLDR
In this paper, the authors make use of a Mellin transform technique to find formulae expressing the stress intensity factor and crack energy of a radial crack in a finite elastic disc directly in terms of the solution of a Fredholm integral equation.
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This article is published in International Journal of Engineering Science.The article was published on 1972-03-01. It has received 47 citations till now. The article focuses on the topics: Fredholm integral equation & Stress intensity factor.

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Journal ArticleDOI

Size Effect in Brazilian Split-Cylinder Tests: Measurements and Fracture Analysis

TL;DR: In this article, the size effect in the split cylinder tensile test is studied experimentally and analyzed theoretically, and the results confirm the existence of size effect and show that up to a certain critical diameter d, the curve of nominal strength versus diameter approximately agrees with the law proposed by Bazant for the size effects caused by energy release due to fracture growth.
Journal ArticleDOI

Fracture mechanics and size effect of concrete in tension

TL;DR: In this article, it was found that strength of concrete structures generally decreases with increasing structure size before reaching a limiting value, and Fracture mechanics was used to predict such size effect.
Journal ArticleDOI

Effects of Load-Distributed Width on Split Tension of Unnotched and Notched Cylindrical Specimens

TL;DR: In this article, the effect of load-distributed width on maximum tensile stress in unnotched and notched cylinders in split tension has been analyzed based on finite element analysis, and linear elastic fracture mechanics (LEFM) formulas for the stress intensity factor KI, crack mouth opening displacement (CMOD), and the crack opening displacement profile for the split tension of notched cylindrical cylinders were provided in terms of load distribution.
Journal ArticleDOI

Direct determination of weight functions from reference loading cases and geometrical conditions

TL;DR: In this article, a procedure is discussed that allows the determination of weight functions from a number of known reference stress intensity factors and two geometrical conditions, namely vanishing second and third derivatives of the weight function (h'' = h''' = 0 ) at the crack mouth.
Journal ArticleDOI

Determination of the fracture parameters of the Double-K model using weight functions of split-tension specimens

TL;DR: In this paper, splitting tests on cubical, cylindrical and diagonal cubic concrete samples were analyzed to determine the fracture parameters for the Double-K model and the universal four-term weight functions of these specimens were determined.
References
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Book

Table of Integrals, Series, and Products

TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Book

Theory of elasticity

TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Book ChapterDOI

The mathematical theory of equilibrium cracks in brittle fracture

TL;DR: In this paper, the authors present a unified view of the way basic problems in the theory of equilibrium cracks are formulated and discuss the results obtained thereby, and the object of the theory is the study of the equilibrium of solids in the presence of cracks.
Book

Analysis of Numerical Methods

TL;DR: Reference Record created on 2005-11-18, modified on 2016-08-08 as discussed by the authors, created on 2011-11 -18, created on 2006-11 18 and modified on 2008-08 -08,08
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