Introduction to the Micromechanics of Composite Materials
Auteurs : Yin Huiming, Zhao Yingtao
Presents Concepts That Can Be Used in Design, Processing, Testing, and Control of Composite Materials
Introduction to the Micromechanics of Composite Materials weaves together the basic concepts, mathematical fundamentals, and formulations of micromechanics into a systemic approach for understanding and modeling the effective material behavior of composite materials. As various emerging composite materials have been increasingly used in civil, mechanical, biomedical, and materials engineering, this textbook provides students with a fundamental understanding of the mechanical behavior of composite materials and prepares them for further research and development work with new composite materials.
Students will understand from reading this book:
- The basic concepts of micromechanics such as RVE, eigenstrain, inclusions, and in homogeneities
- How to master the constitutive law of general composite material
- How to use the tensorial indicial notation to formulate the Eshelby problem
- Common homogenization methods
The content is organized in accordance with a rigorous course. It covers micromechanics theory, the microstructure of materials, homogenization, and constitutive models of different types of composite materials, and it enables students to interpret and predict the effective mechanical properties of existing and emerging composites through microstructure-based modeling and design. As a prerequisite, students should already understand the concepts of boundary value problems in solid mechanics. Introduction to the Micromechanics of Composite Materials is suitable for senior undergraduate and graduate students.
Introduction. Vectors and Tensors. Spherical Inclusion and Inhomogeneity. Ellipsoidal Inclusion and Inhomogeneity. Volume Integrals and Averages in Inclusion and Inhomogeneity Problems. Homogenization for Effective Elasticity Based on the Energy Methods. Homogenization for Effective Elasticity Based on the Vectorial Methods. Homogenization for Effective Elasticity Based on the Perturbation Method. Defects in Materials: Void, Microcrack, Dislocation, and Damage. Boundary Effects on Particulate Composites. References.
Huiming Yin is an associate professor in the Department of Civil Engineering and Engineering Mechanics at Columbia University, USA
Yingtao Zhao
Date de parution : 01-2016
17.8x25.4 cm
Date de parution : 01-2018
17.8x25.4 cm
Thèmes d’Introduction to the Micromechanics of Composite Materials :
Mots-clés :
Eshelby’s Equivalent Inclusion Method; Stress Concentration Factors; Micromechanics; Elastic Green’s Function; Holes Sparsely Distributed in a Plate; Uniform Eigenstrain; Cartesian Vectors; Green’s Function; Cartesian Tensors; Equivalent Inclusion Method; Tensor Field; Ellipsoidal Domain; Potential Theory; Hashin Shtrikman’s Bounds; Helmholtz’s Decomposition Theorem; Elastic Fields; Green’s Identities; Stiffness C1; Green’s Functions; Eshelby’s Solution; Elastic Equations; Mori Tanaka Model; The Elastic Green’s Function; Penny Shape Crack; Inhomogeneity; Differential Scheme; Spherical Inclusion Problem; Effective Young’s Modulus; The Equivalent Inclusion Method; Eshelby’s Tensor; Spherical Inhomogeneity Problem; Infinite Domain; 3D Domain; Inclusion Problem; Ellipsoidal Inclusion; Semi-infinite Domain; General Elastic Solution; Eigenstrain; Asymptotic Homogenization Method; Fourier Integral; Finite Volume Fraction; Ellipsoidal Inclusion Problems; Volume Fraction Φ1; Ellipsoidal Inhomogeneities; Inhomogeneity Problem; Volume Integrals; Unit Cell; Stress and Strain; Strain Energy; 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; Homogenization for Effective Elasticity Based on the Vectorial Methods; Effective Material Behavior; Material Phases; Two-Phase Composites; Homogenization for Effective Elasticity Based on the Perturbation Method; One-Dimensional Asymptotic Homogenization; Homogenization of a Periodic Composite; Voids; Microcracks; Dislocation; Damage; Particulate Composites; Fundamental Solution for Semi-Infinite Domains; Elastic Solution; Boundary Effects on Effective Elasticity of a Periodic Composite; Inclusion Based Boundary Element Method; Vector Field; Composite Materials
