Fracture mechanics in layered and graded solids : analysis using boundary element methods
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 variabl...
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| Main Authors | , |
|---|---|
| Format | Electronic eBook |
| Language | English |
| Published |
Berlin ; Boston :
De Gruyter,
[2014]
|
| Subjects | |
| Online Access | Full text |
| ISBN | 3110369559 9783110369557 9781523100538 1523100532 9783110297973 3110297973 9783110297874 3110297876 3110297981 9783110297980 9787040292800 7040292807 |
| Physical Description | 1 online resource (xii, 305 pages .) |
Cover
Table of Contents:
- Chapter 1 Introduction; 1.1 Functionally graded materials; 1.2 Methods for fracture mechanics; 1.2.1 General; 1.2.2 Analytical methods; 1.2.3 Finite element method; 1.2.4 Boundary element method; 1.2.5 Meshless methods; 1.3 Overview of the book; References; Chapter 2 Fundamentals of Elasticity and Fracture Mechanics; 2.1 Introduction; 2.2 Basic equations of elasticity; 2.3 Fracture mechanics; 2.3.1 General; 2.3.2 Deformation modes of cracked bodies; 2.3.3 Three-dimensional stress and displacement fields.
- 2.3.4 Stress fields of cracks in graded materials and on the interface of bi-materials2.4 Analysis of crack growth; 2.4.1 General; 2.4.2 Energy release rate; 2.4.3 Maximum principal stress criterion; 2.4.4 Minimum strain energy density criterion; 2.4.5 The fracture toughness of graded materials; 2.5 Summary; References; Chapter 3 Yue's Solution of a 3D Multilayered Elastic Medium; 3.1 Introduction; 3.2 Basic equations; 3.3 Solution in the transform domain; 3.3.1 Solution formulation; 3.3.2 Solution expressed in terms of g.
- 4.8.3 Strongly singular integrals4.9 Evaluation of displacements and stresses at an internal point; 4.10 Evaluation of boundary stresses; 4.11 Multi-region method; 4.12 Symmetry; 4.13 Numerical evaluation and results; 4.13.1 A homogeneous rectangular plate; 4.13.2 A layered rectangular plate; 4.14 Summary; References; Chapter 5 Application of the Yue's Solution-based BEM toCrack Problems; 5.1 Introduction; 5.2 Traction-singular element and its numerical method; 5.2.1 General; 5.2.2 Traction-singular element; 5.2.3 The numerical method of traction-singular elements.