# Hypersingular Integral Equations in Fracture Analysis

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- Author : Whye-Teong Ang
- Publisher : Elsevier
- Release : 23 April 2014
- ISBN : 9780857094803
- Page : 212 pages
- Rating : 4.5/5 from 103 voters

## Download Hypersingular Integral Equations in Fracture Analysis in PDF, Epub and Kindle

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

- Author : Whye-Teong Ang
- Publisher : Elsevier
- Release Date : 2014-04-23
- ISBN : 9780857094803

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

- Author : Whye-Teong Ang
- Publisher : Woodhead Publishing
- Release Date : 2017-11-13
- ISBN : 0081015925

"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

### Wavelet Based Approximation Schemes for Singular Integral Equations

- Author : Madan Mohan Panja,Birendra Nath Mandal
- Publisher : CRC Press
- Release Date : 2020-09-25
- ISBN : 9780429534287

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

### Boundary Element Advances in Solid Mechanics

- Author : Dimitri Beskos,Giulio Maier
- Publisher : Springer
- Release Date : 2014-05-04
- ISBN : 9783709127902

This volume presents and discusses recent advances in boundary element methods and their solid mechanics applications. It illustrates these methods in their latest forms, developed during the last five to ten years, and demonstrates their advantages in solving a wide range of solid mechanics problems.

### The Solution of Hypersingular Integral Equations with Applications in Acoustics and Fracture Mechanics

- Author : Richard S. St. John
- Publisher : Unknown
- Release Date : 1998
- ISBN : OCLC:43917005

### Recent Advances in Mathematics for Engineering

- Author : Mangey Ram
- Publisher : CRC Press
- Release Date : 2020-03-17
- ISBN : 9780429577918

In recent years, mathematics has experienced amazing growth in the engineering sciences. Mathematics forms the common foundation of all engineering disciplines. This book provides a comprehensive range of mathematics applied in various fields of engineering for different tasks such as civil engineering, structural engineering, computer science, and electrical engineering, among others. It offers chapters that develop the applications of mathematics in engineering sciences, conveys the innovative research ideas, offers real-world utility of mathematics, and has a significance in the life

### Selected Topics in Boundary Integral Formulations for Solids and Fluids

- Author : Vladimir Kompiš
- Publisher : Springer
- Release Date : 2014-05-04
- ISBN : 9783709125489

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

### Topics in Integral and Integro-Differential Equations

- Author : Harendra Singh,Hemen Dutta,Marcelo M. Cavalcanti
- Publisher : Springer Nature
- Release Date : 2021-04-16
- ISBN : 9783030655099

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,

### Damage and Fracture Mechanics

- Author : Taoufik Boukharouba,Mimoun Elboujdaini,Guy Pluvinage
- Publisher : Springer Science & Business Media
- Release Date : 2009-08-09
- ISBN : 9789048126699

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-

### Applied Mechanics Reviews

- Author : Anonim
- Publisher : Unknown
- Release Date : 1986
- ISBN : UIUC:30112008993427

### Fracture Mechanics in Layered and Graded Solids

- Author : Tian Xiaohong,Quentin Zhong Qi Yue
- Publisher : Walter de Gruyter GmbH & Co KG
- Release Date : 2014-06-23
- ISBN : 9783110297973

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

### Recent Advances in Fracture Mechanics

- Author : W.G. Knauss,R.A. Schapery
- Publisher : Springer Science & Business Media
- Release Date : 2013-06-29
- ISBN : 9789401728546

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;

### Advances in Dynamic Systems and Stability

- Author : D.E. Beskos,F. Ziegler
- Publisher : Springer Science & Business Media
- Release Date : 2013-11-11
- ISBN : 9783709192238

On December 2-5, 1991, a Symposium on Thermal Stresses, Dynamics and Stability honoring Professor Bruno A. Boley on the occasion of his 65th birthday was held in Atlanta, Georgia during the Winter Annual Meeting of the American Society of Mechanical Engineers. The papers presented during the Symposium by some of Professor Boley's former students and colleagues cover those areas of applied mechanics where most of his contributions have been made over the years. These papers have been written in tribute to

### Boundary Elements and Other Mesh Reduction Methods XXX

- Author : L. Škerget,C. A. Brebbia
- Publisher : WIT Press
- Release Date : 2008
- ISBN : 9781845641214

The major motivation behind the Boundary Element Method (BEM) was to reduce the dependency of analysis on the definition of meshes. This has allowed the method to expand naturally into new techniques such as Dual Reciprocity and all other Mesh reduction Methods (MRM). MRM and BEM continue to be very active areas of research with many of the resulting techniques applied to solve increasingly complex problems. This book contains papers presented at the much-acclaimed thirtieth International Conference on Boundary Elements

### Applied Singular Integral Equations

- Author : B. N. Mandal,A. Chakrabarti
- Publisher : CRC Press
- Release Date : 2016-04-19
- ISBN : 9781439876213

The book is devoted to varieties of linear singular integral equations, with special emphasis on their methods of solution. It introduces the singular integral equations and their applications to researchers as well as graduate students of this fascinating and growing branch of applied mathematics.