A new formulation of the effective elastic–plastic response of two-phase particulate composite materials |
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| Institution: | 1. School of Materials Science and Engineering, University of Science and Technology Beijing, Beijing 100083, China;2. Department of Materials, North China Institute of Aerospace Engineering, Langfang 065000, China;1. Faculty of Mechatronics and Mechanical Engineering, Kielce University of Technology, Al. Tysi?clecia P.P. 7, 25-314 Kielce, Poland;2. Faculty of Production Engineering and Materials Technology, Czestochowa University of Technology, Al. Armii Krajowej 19, 42-200 Czestochowa, Poland;1. Lehrstuhl für Statik, TU München, Arcisstrasse 21 80333, München, Germany;2. Dassault Systèmes Deutschland GmbH, Albert-Nestler-Str.17, 76131 Karlsruhe, Germany;1. Department of Mathematics ,Chandigarh University Gharuan, Mohali 140413, India;2. Department of Mathematics, Punjabi University, Patiala 147002, India |
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| Abstract: | In this paper the double-inclusion model, originally developed to determine effective linear elastic properties of composite materials, is reformulated and extended to predict the effective nonlinear elastic–plastic response of two-phase particulate composites reinforced with spherical particles. The resulting problem of elastic–plastic deformation of a double-inclusion embedded in an infinite reference medium subjected to an incrementally applied far-field strain is solved by the finite element method. The proposed double-inclusion model is evaluated by comparison of the model predictions to the available exact results obtained by the direct approach using representative volume elements containing many particles. It is found that the double-inclusion formulation is capable of providing accurate prediction of the effective elastic–plastic response of two-phase particulate composites at moderate particle volume fractions. |
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| Keywords: | Particle-reinforced composites Plasticity Micromechanics Finite element method |
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