Introduction to the micromechanics of composite materials. (2016)
- Record Type:
- Book
- Title:
- Introduction to the micromechanics of composite materials. (2016)
- Main Title:
- Introduction to the micromechanics of composite materials
- Further Information:
- Note: Huiming Yin and Yingtao Zhao.
- Authors:
- Yin, Huiming
Zhao, Yingtao - Contents:
- Introduction; Composite Materials; History of Micromechanics; A Big Picture of Micromechanics-Based Modeling; Basic Concepts of Micromechanics; Case Study: Holes Sparsely Distributed in a Plate; Exercise; ; Vectors and Tensors; Cartesian Vectors and Tensors; Operations of Vectors and Tensors; Calculus of Vector and Tensor Fields; Potential Theory and Helmholtz’s Decomposition Theorem; Green’s Identities and Green’s Functions; Elastic Equations; General Solution and the Elastic Green’s Function; Exercise; ; Spherical Inclusion and Inhomogeneity; Spherical Inclusion Problem; Introduction to the Equivalent Inclusion Method; Spherical Inhomogeneity Problem; Integrals of Φ, Ψ, Φp, Ψp and Their Derivatives in 3D Domain; Exercise; ; Ellipsoidal Inclusion and Inhomogeneity; General Elastic Solution Caused By an Eigenstrain through Fourier Integral; Ellipsoidal Inclusion Problems; Equivalent Inclusion Method for Ellipsoidal Inhomogeneities; Exercise; ; Volume Integrals and Averages in Inclusion and Inhomogeneity Problems; Volume Averages of Stress and Strain; Volume Averages in Potential Problems; Strain Energy in Inclusion and Inhomogeneity Problems; Exercise; ; Homogenization for Effective Elasticity Based on the Energy Methods; Hill’s Theorem; Hill’s Bounds; Classical Variational Principles; Hashin–Shtrikman’s Variational Principle; Hashin–Shtrikman’s Bounds; Exercise; ; Homogenization for Effective Elasticity Based on the Vectorial Methods; Effective Material Behavior andIntroduction; Composite Materials; History of Micromechanics; A Big Picture of Micromechanics-Based Modeling; Basic Concepts of Micromechanics; Case Study: Holes Sparsely Distributed in a Plate; Exercise; ; Vectors and Tensors; Cartesian Vectors and Tensors; Operations of Vectors and Tensors; Calculus of Vector and Tensor Fields; Potential Theory and Helmholtz’s Decomposition Theorem; Green’s Identities and Green’s Functions; Elastic Equations; General Solution and the Elastic Green’s Function; Exercise; ; Spherical Inclusion and Inhomogeneity; Spherical Inclusion Problem; Introduction to the Equivalent Inclusion Method; Spherical Inhomogeneity Problem; Integrals of Φ, Ψ, Φp, Ψp and Their Derivatives in 3D Domain; Exercise; ; Ellipsoidal Inclusion and Inhomogeneity; General Elastic Solution Caused By an Eigenstrain through Fourier Integral; Ellipsoidal Inclusion Problems; Equivalent Inclusion Method for Ellipsoidal Inhomogeneities; Exercise; ; Volume Integrals and Averages in Inclusion and Inhomogeneity Problems; Volume Averages of Stress and Strain; Volume Averages in Potential Problems; Strain Energy in Inclusion and Inhomogeneity Problems; Exercise; ; Homogenization for Effective Elasticity Based on the Energy Methods; Hill’s Theorem; Hill’s Bounds; Classical Variational Principles; Hashin–Shtrikman’s Variational Principle; Hashin–Shtrikman’s Bounds; Exercise; ; Homogenization for Effective Elasticity Based on the Vectorial Methods; Effective Material Behavior and Material Phases; Micromechanics-Based Models for Two-Phase Composites; Exercise; ; Homogenization for Effective Elasticity Based on the Perturbation Method; Introduction; One-Dimensional Asymptotic Homogenization; Homogenization of a Periodic Composite; Exercise; ; Defects in Materials: Void, Microcrack, Dislocation, and Damage; Voids; Microcracks; Dislocation; Damage; Exercise; ; Boundary Effects on Particulate Composites; Fundamental Solution for Semi-Infinite Domains; Equivalent Inclusion Method for One Particle in a Semi-Infinite Domain; Elastic Solution for Multiple Particles in a Semi-Infinite Domain; Boundary Effects on Effective Elasticity of a Periodic Composite; Inclusion Based Boundary Element Method for Virtual Experiments of a Composite Sample; Exercise; References; … (more)
- Edition:
- 1st
- Publisher Details:
- Boca Raton : CRC Press
- Publication Date:
- 2016
- Extent:
- 1 online resource, illustrations (black and white)
- Subjects:
- 620.11892
Micromechanics
Composite construction -- Fatigue - Languages:
- English
- ISBNs:
- 9781498707305
- Related ISBNs:
- 9781498707282
- Notes:
- Note: Includes bibliographical references and index.
Note: Description based on CIP data; item not viewed. - Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.137420
- Ingest File:
- 02_033.xml