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; 3D Domain; Elastic Green’s Function; Boundary Effects on Effective Elasticity of a Periodic Composite; Uniform Eigenstrain; Cartesian Tensors; Green’s Function; Cartesian Vectors; Equivalent Inclusion Method; Classical Variational Principles; Ellipsoidal Domain; Composite Materials; Hashin Shtrikman’s Bounds; Damage; Elastic Fields; Dislocation; Stiffness C1; Effective Material Behavior; Eshelby’s Solution; Eigenstrain; Mori Tanaka Model; Elastic Equations; Penny Shape Crack; Elastic Solution; Differential Scheme; Ellipsoidal Inclusion; Effective Young’s Modulus; Ellipsoidal Inclusion Problems; Eshelby’s Tensor; Ellipsoidal Inhomogeneities; Infinite Domain; Inclusion Problem; Fourier Integral; Semi-infinite Domain; Fundamental Solution for Semi-Infinite Domains; General Elastic Solution; Asymptotic Homogenization Method; Green’s Functions; Finite Volume Fraction; Green’s Identities; Volume Fraction Φ1; Hashin–Shtrikman’s Bounds; Inhomogeneity Problem; Hashin–Shtrikman’s Variational Principle; Unit Cell; Helmholtz’s Decomposition Theorem; Hill’s Bounds; Hill’s Theorem; Holes Sparsely Distributed in a Plate; Homogenization for Effective Elasticity Based on the Energy Methods; Homogenization for Effective Elasticity Based on the Perturbation Method; Homogenization for Effective Elasticity Based on the Vectorial Methods; Homogenization of a Periodic Composite; Inclusion Based Boundary Element Method; Inhomogeneity; Material Phases; Microcracks; Micromechanics; One-Dimensional Asymptotic Homogenization; Particulate Composites; Potential Theory; Spherical Inclusion Problem; Spherical Inhomogeneity Problem; Strain Energy; Stress and Strain; Tensor Field; The Elastic Green’s Function; The Equivalent Inclusion Method; Two-Phase Composites; Vector Field; Voids; Volume Integrals
