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Jacob Aboudi

Bio: Jacob Aboudi is an academic researcher from Tel Aviv University. The author has contributed to research in topics: Micromechanics & Constitutive equation. The author has an hindex of 41, co-authored 324 publications receiving 8448 citations. Previous affiliations of Jacob Aboudi include Northwestern University & University of Strathclyde.


Papers
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31 Jul 1991
TL;DR: In this paper, the authors present the basic models of the mechanics of composites, and present a method of cells for fiber reinforced materials and for short-fiber composites.
Abstract: 1. Fundamentals of the Mechanics of Composites. Representative volume element. Volumetric averaging. Homogeneous boundary conditions. Average strain theorem. Average stress theorem. Effective elastic moduli. Relations between averages-direct approach. Relations between averages - energy approach. 2. Basic Models in the Mechanics of Composites. The Voigt approximation. The Reuss approximation. Hill's theorem. The dilute approximation. The composite spheres model. The self-consistent scheme. The generalized self-consistent scheme. The differential scheme. The mori-tanaka theory. Exhelby equivalent inclusion method. 3. The Micromechanical Method of Cells. The method of cells for fiber reinforced materials. Coefficients of thermal expansion. Hill's relations. Thermal conductivities. Specific heats. The method of cells for short-fiber composites. Randomly reinforced materials. Periodically billlminated materials. 4. Strength and Fatigue Failure. Micromechanics prediction of composite failure. 5. Viscoelastic Behaviour of Composites. Linearly viscoelastic composites. Thermoviscoelastic behaviour of composites. Nonlinear viscoelastic behaviour of composites. 6. Nonlinear Behaviour of Resin Matrix Composites. Macromechanical analysis. Micromechanical analysis. 7. Initial Yield Surfaces of Metal Matrix Composites. The initiation of yielding in isotropic materials. Initial yielding of metal matrix composites. Investigation of the convexity of initial yield surfaces. 8. Inelastic Behaviour of Metal Matrix Composites. Constitutive equations of plasticity. Unified theories of viscoplasticity. Bodner-partom viscoplastic equations. Inelastic behaviour of laminated media. Inelastic behaviour of fibrous composites. Matrix mean-field and local-field. Subsequent yield surfaces prediction of metal matrix composites. Metal matrix composite laminates. Short-fiber metal-matrix composites. 9. Imperfect Bonding in Composites. General considerations. The flexible interface imperfect bonding model. Periodically billaminated materials. Fiber-reinforced materials. Short-fiber and particulate composites. The Coulomb frictional law for the modeling of interfacial damage in composites. Index.

699 citations

Journal ArticleDOI
TL;DR: In this article, a generalization of the micromechanical method of cells, designated for the analysis of fibrous composites with periodic structure, is presented. And effective constitutive laws are given in terms of relationships between the average stress-rate and strain-rate of the inelastic multiphase composite.

505 citations

Journal ArticleDOI
TL;DR: In this article, the authors present a generalization of the Cartesian coordinate-based higher-order theory for functionally graded materials developed by the authors during the past several years, which is based on volumetric averaging of various field quantities, together with imposition of boundary and interfacial conditions in an average sense between the subvolumes used to characterize the composite's functionally graded microstructure.
Abstract: This paper presents the full generalization of the Cartesian coordinate-based higher-order theory for functionally graded materials developed by the authors during the past several years. This theory circumvents the problematic use of the standard micromechanical approach, based on the concept of a representative volume element, commonly employed in the analysis of functionally graded composites by explicitly coupling the local (microstructural) and global (macrostructural) responses. The theoretical framework is based on volumetric averaging of the various field quantities, together with imposition of boundary and interfacial conditions in an average sense between the subvolumes used to characterize the composite's functionally graded microstructure. The generalization outlined herein involves extension of the theoretical framework to enable the analysis of materials characterized by spatially variable microstructures in three directions. Specialization of the generalized theoretical framework to previously published versions of the higher-order theory for materials functionally graded in one and two directions is demonstrated. In the applications part of the paper we summarize the major findings obtained with the one-directional and two-directional versions of the higher-order theory. The results illustrate both the fundamental issues related to the influence of microstructure on microscopic and macroscopic quantities governing the response of composites and the technologically important applications. A major issue addressed herein is the applicability of the classical homogenization schemes in the analysis of functionally graded materials. The technologically important applications illustrate the utility of functionally graded microstructures in tailoring the response of structural components in a variety of applications involving uniform and gradient thermomechanical loading.

336 citations

Journal ArticleDOI
Jacob Aboudi1
TL;DR: In this paper, a homogenization micromechanical method is employed for the prediction of the effective moduli of electro-magneto-thermo-elastic composites.
Abstract: A homogenization micromechanical method is employed for the prediction of the effective moduli of electro-magneto-thermo-elastic composites. These include the effective elastic, piezoelectric, piezomagnetic, dielectric, magnetic permeability and electromagnetic coupling moduli, as well as the effective thermal expansion coefficients and the associated pyroelectric and pyromagnetic constants. Comparisons between the present homogenization theory, the generalized method of cells and the Mori-Tanaka predictions are given. Results are presented for fibrous and periodically bilaminated composites.

326 citations


Cited by
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Journal ArticleDOI
Zvi Hashin1
TL;DR: In this paper, the authors review the analysis of composite materials from the applied mechanics and engineering science point of view, including elasticity, thermal expansion, moisture swelling, viscoelasticity, conductivity, static strength, and fatigue failure.
Abstract: The purpose of the present survey is to review the analysis of composite materials from the applied mechanics and engineering science point of view. The subjects under consideration will be analysis of the following properties of various kinds of composite materials: elasticity, thermal expansion, moisture swelling, viscoelasticity, conductivity (which includes, by mathematical analogy, dielectrics, magnetics, and diffusion) static strength, and fatigue failure.

2,216 citations

Journal ArticleDOI
TL;DR: In this paper, the dynamic thermoelastic response of functionally graded cylinders and plates is studied, and a finite element model of the formulation is developed, where the heat conduction and the thermo-elastic equations are solved for a functionally graded axisymmetric cylinder subjected to thermal loading.
Abstract: The dynamic thermoelastic response of functionally graded cylinders and plates is studied. Thermomechanical coupling is included in the formulation, and a finite element model of the formulation is developed. The heat conduction and the thermoelastic equations are solved for a functionally graded axisymmetric cylinder subjected to thermal loading. In addition, a thermoelastic boundary value problem using the first-order shear deformation plate theory (FSDT) that accounts for the transverse shear strains and the rotations, coupled with a three-dimensional heat conduction equation, is formulated for a functionally graded plate. Both problems are studied by varying the volume fraction of a ceramic and a metal using a power law distribution.

1,196 citations

Journal ArticleDOI
TL;DR: In this paper, a constitutive model for anisotropic damage is developed to describe the elastic-brittle behavior of fiber-reinforced composites and the corresponding rate-equations are subjected to the laws of thermomechanics.

1,099 citations

Journal ArticleDOI
TL;DR: Diverse areas relevant to various aspects of theory and applications of FGM include homogenization of particulate FGM, heat transfer issues, stress, stability and dynamic analyses, testing, manufacturing and design, applications, and fracture.
Abstract: This paper presents a review of the principal developments in functionally graded materials (FGMs) with an emphasis on the recent work published since 2000. Diverse areas relevant to various aspects of theory and applications of FGM are reflected in this paper. They include homogenization of particulate FGM, heat transfer issues, stress, stability and dynamic analyses, testing, manufacturing and design, applications, and fracture. The critical areas where further research is needed for a successful implementation of FGM in design are outlined in the conclusions. DOI: 10.1115/1.2777164

1,008 citations

Journal ArticleDOI
TL;DR: A brief review on the current progress in stimuli-responsive shape memory materials can be found in this article, where the focus is on twofold, namely newly observed ones, and novel applications with great potential at present and in near future.

864 citations