Fracture mechanics in layered and graded solids : analysis using boundary element methods / Hongtian Xiao, Zhongqi Yue.

Includes bibliographical references.

Print version record.

880-01 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.

880-02 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.

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 d.

In English.

Access restricted to users with valid AUBnet account.

eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - Worldwide