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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Xiao, Hongtian (Autor), Yue, Zhongqi (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : De Gruyter, [2014]
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Xiao, Hongtian,  |e author. 
245 1 0 |a Fracture mechanics in layered and graded solids :  |b analysis using boundary element methods /  |c Hongtian Xiao, Zhongqi Yue. 
264 1 |a Berlin ;  |a Boston :  |b De Gruyter,  |c [2014] 
300 |a 1 online resource (xii, 305 pages .) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |b PDF 
347 |a text file 
504 |a Includes bibliographical references. 
588 0 |a Print version record. 
505 0 |6 880-01  |a 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. 
505 8 |a 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. 
505 8 |6 880-02  |a 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. 
520 |a 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. 
546 |a In English. 
590 |a Knovel  |b ACADEMIC - General Engineering & Project Administration 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Functionally gradient materials  |x Fracture. 
650 0 |a Boundary element methods. 
650 0 |a Fracture mechanics. 
650 4 |a Ingenieurwissenschaften und Maschinenbau. 
650 6 |a Matériaux à gradient fonctionnel  |x Rupture. 
650 6 |a Méthodes des équations intégrales de frontière. 
650 6 |a Mécanique de la rupture. 
650 7 |a TECHNOLOGY & ENGINEERING  |x Civil  |x General.  |2 bisacsh 
650 7 |a Boundary element methods  |2 fast 
650 7 |a Fracture mechanics  |2 fast 
700 1 |a Yue, Zhongqi,  |e author. 
758 |i has work:  |a Fracture mechanics in layered and graded solids (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGqMvk8hKQxqVv6TbCyKh3  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |z 9783110297874  |z 3110297876  |w (DLC) 2014015597 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1575441  |z Texto completo 
880 8 |6 505-01/(S  |a 3.3.3 Asymptotic representation of the solution matricesΦ(ρ, z) and Ψ(ρ, z)3.4 Solution in the physical domain; 3.4.1 Solutions in the Cartesian coordinate system; 3.4.2 Closed-form results for singular terms of the solution; 3.5 Computational methods and numerical evaluation; 3.5.1 General; 3.5.2 Singularities of the fundamental solution; 3.5.3 Numerical integration; 3.5.4 Numerical evaluation and results; 3.6 Summary; Appendix 1 The matrices of elastic coefficients; Appendix 2 The matrices in the asymptotic expressions of Φ(ρ, z) and Ψ(ρ, z). 
880 8 |6 505-02/(S  |a Appendix 3 The matrices Gs[m, z, Φ] and Gt [m, z, Φ]References; Chapter 4 Yue's Solution-based Boundary Element Method; 4.1 Introduction; 4.2 Betti's reciprocal work theorem; 4.3 Yue's solution-based integral equations; 4.4 Yue's solution-based boundary integral equations; 4.5 Discretized boundary integral equations; 4.6 Assembly of the equation system; 4.7 Numerical integration of non-singular integrals; 4.7.1 Gaussian quadrature formulas; 4.7.2 Adaptive integration; 4.7.3 Nearly singular integrals; 4.8 Numerical integration of singular integrals; 4.8.1 General; 4.8.2 Weakly singular integrals. 
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