Hypersingular Integral Equations in Fracture Analysis

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  • Author : Whye-Teong Ang
  • Publisher : Elsevier
  • Pages : 212 pages
  • ISBN : 0857094807
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>Hypersingular Integral Equations in Fracture Analysis

Download or Read online Hypersingular Integral Equations in Fracture Analysis full in PDF, ePub and kindle. this book written by Whye-Teong Ang and published by Elsevier which was released on 23 April 2014 with total page 212 pages. We cannot guarantee that Hypersingular Integral Equations in Fracture Analysis book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. Hypersingular Integral Equations in Fracture Analysis explains how plane elastostatic crack problems may be formulated and solved in terms of hypersingular integral equations. The unknown functions in the hypersingular integral equations are the crack opening displacements. Once the hypersingular integral equations are solved, the crack tip stress intensity factors, which play an important role in fracture analysis, may be easily computed. This title consists of six chapters: Elastic crack problems, fracture mechanics, equations of elasticity and finite-part integrals; Hypersingular integral equations for coplanar cracks in anisotropic elastic media; Numerical methods for solving hypersingular integral equations; Hypersingular boundary integral equation method for planar cracks in an anisotropic elastic body; A numerical Green's function boundary integral approach for crack problems; and Edge and curved cracks and piezoelectric cracks. This book provides a clear account of the hypersingular integral approach for fracture analysis, gives in complete form the hypersingular integral equations for selected crack problems, and lists FORTRAN programs of numerical methods for solving hypersingular integral equations. Explains the hypersingular integral approach using specific and progressively more complex crack problems Gives hypersingular integral equations for selected crack problems in complete form Lists computer codes in FORTRAN for the numerical solution of hypersingular integral equations

Hypersingular Integral Equations in Fracture Analysis

Hypersingular Integral Equations in Fracture Analysis
  • Author : Whye-Teong Ang
  • Publisher : Elsevier
  • Release : 23 April 2014
GET THIS BOOK Hypersingular Integral Equations in Fracture Analysis

Hypersingular Integral Equations in Fracture Analysis explains how plane elastostatic crack problems may be formulated and solved in terms of hypersingular integral equations. The unknown functions in the hypersingular integral equations are the crack opening displacements. Once the hypersingular integral equations are solved, the crack tip stress intensity factors, which play an important role in fracture analysis, may be easily computed. This title consists of six chapters: Elastic crack problems, fracture mechanics, equations of elasticity and finite-part integrals; Hypersingular integral

Hypersingular Integral Equations in Fracture Analysis

Hypersingular Integral Equations in Fracture Analysis
  • Author : Whye-Teong Ang
  • Publisher : Woodhead Publishing
  • Release : 13 November 2017
GET THIS BOOK Hypersingular Integral Equations in Fracture Analysis

"Hypersingular Integral Equations in Fracture Analysis" explains how plane elastostatic crack problems may be formulated and solved in terms of hypersingular integral equations. The unknown functions in the hypersingular integral equations are the crack opening displacements. Once the hypersingular integral equations are solved, the crack tip stress intensity factors, which play an important role in fracture analysis, may be easily computed. This title consists of six chapters: Elastic crack problems, fracture mechanics, equations of elasticity and finite-part integrals; Hypersingular integral

Application of the Hypersingular Boundary Integral Equation in Evaluating Stress Intensity Factors for 2D Elastostatic Fracture Mechanics Problems

Application of the Hypersingular Boundary Integral Equation in Evaluating Stress Intensity Factors for 2D Elastostatic Fracture Mechanics Problems
  • Author : Anonim
  • Publisher : Unknown
  • Release : 19 January 2022
GET THIS BOOK Application of the Hypersingular Boundary Integral Equation in Evaluating Stress Intensity Factors for 2D Elastostatic Fracture Mechanics Problems

Boundary element method is a numerical method that can be advantageously used for a wide range of engineering problems, including the stress concentration problems encountered in fracture mechanics. In linear elastic fracture mechanics (LEFM), the stress intensity factor (SIF) is an important parameter. Cracks, if present in the region experiencing the modes of deformation, increase the stress amplitude significantly and this high stress may lead to premature failure of the engineering components. Knowing the value of the SIF, one can

Symmetric Galerkin Boundary Element Method

Symmetric Galerkin Boundary Element Method
  • Author : Alok Sutradhar,Glaucio Paulino,Leonard J. Gray
  • Publisher : Springer Science & Business Media
  • Release : 26 September 2008
GET THIS BOOK Symmetric Galerkin Boundary Element Method

Symmetric Galerkin Boundary Element Method presents an introduction as well as recent developments of this accurate, powerful, and versatile method. The formulation possesses the attractive feature of producing a symmetric coefficient matrix. In addition, the Galerkin approximation allows standard continuous elements to be used for evaluation of hypersingular integrals. FEATURES • Written in a form suitable for a graduate level textbook as well as a self-learning tutorial in the field. • Covers applications in two-dimensional and three-dimensional problems of potential theory and

On Wave Propagation in Elastic Solids with Cracks

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  • Author : Ch Zhang,Dietmar Gross
  • Publisher : Computational Mechanics
  • Release : 19 January 1998
GET THIS BOOK On Wave Propagation in Elastic Solids with Cracks

Begins with both a non-hypersingular time-domain traction boundary integral equation formulation for transient elastodynamic crack analysis and a time-stepping scheme for solving the boundary integral equations. The scheme is applied to analyze three-dimensional rectangular and penny-shaped cracks, and to investigate pulse shape effects on the dynamic stress intensity factor. The corresponding frequency-domain boundary integral equation is given, and time- harmonic wave propagation in randomly cracked solids is treated. The second half of the book deals with the elastodynamic analysis of

Topics in Integral and Integro Differential Equations

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  • Author : Harendra Singh,Hemen Dutta,Marcelo M. Cavalcanti
  • Publisher : Springer Nature
  • Release : 16 April 2021
GET THIS BOOK Topics in Integral and Integro Differential Equations

This book includes different topics associated with integral and integro-differential equations and their relevance and significance in various scientific areas of study and research. Integral and integro-differential equations are capable of modelling many situations from science and engineering. Readers should find several useful and advanced methods for solving various types of integral and integro-differential equations in this book. The book is useful for graduate students, Ph.D. students, researchers and educators interested in mathematical modelling, applied mathematics, applied sciences, engineering,

Selected Topics in Boundary Integral Formulations for Solids and Fluids

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  • Author : Vladimir Kompiš
  • Publisher : Springer
  • Release : 04 May 2014
GET THIS BOOK Selected Topics in Boundary Integral Formulations for Solids and Fluids

The book outlines special approaches using singular and non-singular, multi-domain and meshless BEM formulations, hybrid- and reciprocity-based FEM for the solution of linear and non-linear problems of solid and fluid mechanics and for the acoustic fluid-structure interaction. Use of Trefftz functions and other regularization approaches to boundary integral equations (BIE), boundary contour and boundary node solution of BIE, sensitivity analysis, shape optimization, error analysis and adaptivity, stress and displacement derivatives in non-linear problems smoothing using Trefftz polynomials and other special

Wavelet Based Approximation Schemes for Singular Integral Equations

Wavelet Based Approximation Schemes for Singular Integral Equations
  • Author : Madan Mohan Panja,Birendra Nath Mandal
  • Publisher : CRC Press
  • Release : 25 September 2020
GET THIS BOOK Wavelet Based Approximation Schemes for Singular Integral Equations

Many mathematical problems in science and engineering are defined by ordinary or partial differential equations with appropriate initial-boundary conditions. Among the various methods, boundary integral equation method (BIEM) is probably the most effective. It’s main advantage is that it changes a problem from its formulation in terms of unbounded differential operator to one for an integral/integro-differential operator, which makes the problem tractable from the analytical or numerical point of view. Basically, the review/study of the problem is

Fracture Mechanics in Layered and Graded Solids

Fracture Mechanics in Layered and Graded Solids
  • Author : Tian Xiaohong,Quentin Zhong Qi Yue
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 23 June 2014
GET THIS BOOK Fracture Mechanics in Layered and Graded Solids

Mechanical responses of solid materials are governed by their material properties. The solutions for estimating and predicting the mechanical responses are extremely difficult, in particular for non-homogeneous materials. Among these, there is a special type of materials whose properties are variable only along one direction, defined as graded materials or functionally graded materials (FGMs). Examples are plant stems and bones. Artificial graded materials are widely used in mechanical engineering, chemical engineering, biological engineering, and electronic engineering. This work covers and

Damage and Fracture Mechanics

Damage and Fracture Mechanics
  • Author : Taoufik Boukharouba,Mimoun Elboujdaini,Guy Pluvinage
  • Publisher : Springer Science & Business Media
  • Release : 09 August 2009
GET THIS BOOK Damage and Fracture Mechanics

The First African InterQuadrennial ICF Conference “AIQ-ICF2008” on Damage and Fracture Mechanics – Failure Analysis of Engineering Materials and Structures”, Algiers, Algeria, June 1–5, 2008 is the first in the series of InterQuadrennial Conferences on Fracture to be held in the continent of Africa. During the conference, African researchers have shown that they merit a strong reputation in international circles and continue to make substantial contributions to the field of fracture mechanics. As in most countries, the research effort in Africa is und-

Recent Advances in Fracture Mechanics

Recent Advances in Fracture Mechanics
  • Author : W.G. Knauss,R.A. Schapery
  • Publisher : Springer Science & Business Media
  • Release : 29 June 2013
GET THIS BOOK Recent Advances in Fracture Mechanics

The papers in this volume represent a considerable cross-section of the field of fracture mechanics, a testimony to the breadth of interest that Mel and Max Williams' friends share with them. Several are expanded versions of papers that were given in special sessions honoring them at the 1997 Ninth International Conference on Fracture Mechanics in Sydney, Australia. The subjects treated in this volume can be classified as follows: dynamic fracture problems as viewed primarily from a classical continuum point of view;

Boundary Integral Methods

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  • Author : Luigi Morino,Renzo Piva
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOK Boundary Integral Methods

This volume contains edited papers from IABEM-90, the 1990 Symposium of the Interna tional Association for Boundary Element Methods (IABEM). As stated in the By-Laws of the Association, the purposes of IABEM are: 1. to promote the international exchange of technical information related to the devel opment and application of boundary-integral equation (BIE) formulations and their numerical implementation to problems in engineering and science, commonly referred to as the boundary element method (BEM); 2. to promote research and development activities for the advancement