Stress intensity factors for interlaminar cracked composites under arbitrary normal crack surface loading
01 Nov 1998-International Journal of Solids and Structures (Pergamon)-Vol. 35, Iss: 33, pp 4355-4367
TL;DR: In this article, a model is constructed to evaluate the stress intensity factors (SIFs) for composites with an inter-laminar crack subjected to an arbitrary normal loading.
About: This article is published in International Journal of Solids and Structures.The article was published on 1998-11-01. It has received 1 citations till now. The article focuses on the topics: Fredholm integral equation & Stress intensity factor.
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TL;DR: In this paper, a multilayer orthotropic material with a center crack is subjected to an anti-plane shear loading and the problem is formulated as a mixed boundary value problem by using the Fourier integral transform method.
Abstract: A multi-layered orthotropic material with a center crack is subjected to an anti-plane shear loading. The problem is formulated as a mixed boundary value problem by using the Fourier integral transform method. This gives a Fredholm integral equation of the second kind. The integral equation is solved numerically and anti-plane shear stress intensity factors are analyzed in terms of the material orthotropy for each layer, number of layers, crack length to layer thickness and the order of the loading polynomial. Also, the case of monolithic and hybrid composites are investigated in terms of the local fiber volume fraction and the global fiber volume fraction.
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Book•
01 Jan 2000
TL;DR: The Stress Analysis of Cracks Handbook as mentioned in this paper provides a comprehensive, easy-to-access collection of elastic stress solutions for crack configurations, along with other relevant information, such as displacements, crack opening areas, basic stress functions source references, accuracy of solutions, and more.
Abstract: Nearly double the size of the previous edition, the third edition of this classic reference provides a comprehensive, easy-to-access collection of elastic stress solutions for crack configurations. For each configuration, The Stress Analysis of Cracks Handbook present crack tip stress intensity formulas along with other relevant information, such as displacements, crack opening areas, basic stress functions source references, accuracy of solutions, and more. Throughout, it stresses formulas for application to test configurations. The introductory section details the methods of developing the informatio A series of appendices represents special methods and special applications. Now in a hardbound format, the current Handbook offers a number of new features including: * Ne Stress Solutions * Cracked Configurations * Plates with Pinching Loads * Dislocations and Cracks Solutions * Plastic Zone Instability (Expanding a Potentially Interceding "Elastic" Failure Mechanism) * Estimation Methods for Stress Intensity Formulas * J-Integral Methods * Pure Shear Plasticity Solutions. The authors provide 30 new solution pages, plus modifications of older solutions. Contents Include: * Introductory Information Stress Analysis Results for Common Test Specimen Configurations with Cracks * Cracks Along a Single Line * Parallel Cracks * Cracks and Holes or Notches * Curved, Angled, Branched, or Radiating Cracks * Cracks in Reinforced Plates * Three-Dimensional Cracked Configurations * Crack(s) in a Rod or a Plate by Energy Rate Analysis * Strip Yield Model Solutions * Cracks(s) in a Shell * Appendices.
5,374 citations
Book•
01 Jan 1984
TL;DR: An updated edition of this compilation of data on metal and resin matrix composites which now includes complete information on all new composite forms, fibres and resins introduced since the publication of the first edition.
Abstract: An updated edition of this compilation of data on metal and resin matrix composites which now includes complete information on all new composite forms, fibres and resins introduced since the publication of the first edition.
639 citations
TL;DR: In this article, the analysis of stress intensity factors of a strip with a longitudinal crack subject to tension and bending along its edges, and the tension of rectangular plates with a central crack are considered.
Abstract: This paper is concerned with the analysis of stress intensity factors of a strip with a longitudinal crack subject to tension and bending along its edges, and the tension of rectangular plates with a central crack. For both problems three types of boundary conditions, that is, stress conditions, displacement conditions and their combinations are considered. Analysis is based on Laurent expansions of the complex potentials satisfying the stress free relations along the crack. The expansion coefficients are determined from boundary conditions along outer edges, by using a perturbation technique in the first problem and a boundary collocation procedure based on resultant forces and mean displacements in the second problem. Numerical calculations are performed for various plate configurations, and the results are summarized in forms ready for practical use. The accuracy of numerical results are also examined, and they are regarded as correct up to four figures.
283 citations
270 citations
TL;DR: In this article, it was shown that the general case can be dealt with just as simply by puttingThe analysis is formal: no attempt is made to supply details of rigour.
Abstract: In his book on Fourier Integrals, Titchmarsh [l] gave the solution of the dual integral equationsfor the case α > 0, by some difficult analysis involving the theory of Mellin transforms. Sneddon [2] has recently shown that, in the cases v = 0, α = ±½, the problem can be reduced to an Abel integral equation by making the substitutionorIt is the purpose of this note to show that the general case can be dealt with just as simply by puttingThe analysis is formal: no attempt is made to supply details of rigour.
161 citations