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Homogenization with uncertainty in Poisson ratio for polymers with rubber particles |
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| Affiliation: | 1. Faculty of Mechanical Engineering, University of Engineering and Technology, Av. Cascanueces 2281, Santa Anita, Lima, Peru;2. Faculty of Mechanical Engineering, National University of Engineering, Av. Túpac Amaru 210, Rimac, Lima, Peru;1. Vietnam National University, Hanoi, Viet Nam;2. Military Academy of Logistics, Viet Nam;1. CT2M – Centre for Mechanical and Materials Technologies, University of Minho, Azurém, 4800-058 Guimarães, Portugal;2. Cross–Border Faculty of Humanities, Economics and Engineering, University of Galati, Dunarea de Jos, Domneasca 47, 800008 Galati, Romania;1. National Key Laboratory of Science and Technology for Advanced Composites in Special Environments, Harbin Institute of Technology, Harbin 150080, China;2. Composite Materials and Structure Laboratory, Department of Mechanical, Materials and Aerospace Engineering, University of Central Florida, Orlando, FL 32816, USA;3. Composite Material Research Laboratory, Department of Mechanical Engineering, University of New Orleans, LA 70148, USA;1. School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, China;2. State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace Engineering, Xi’an Jiaotong University, Xi’an 710049, China |
| Abstract: | The main aim of this work is dual computer analysis of probabilistic coefficients for the homogenized tensor of the polymer filled with the rubber particles having randomized Poisson ratios of both constituents. The major issue is to verify an influence of a randomness in rubber Poisson ratio close to the compressibility limit on the uncertainty of the effective tensor probabilistic characteristics. Probabilistic analysis presented here is carried out using mainly the stochastic perturbation technique provided by the common application of the traditional FEM commercial code ABAQUS and the symbolic computations package MAPLE. This FEM-based technique employs polynomial response function of the optimum order recovered from the weighted least squares method and following a set of deterministic solutions obtained for various values of the randomized input parameter. Optimization procedure is released entirely into a symbolic environment, where maximization of the correlation factor together with minimization of the fitting variance and approximation error are applied. Homogenization technique consists in equating of deformation energies for the real composite and the artificial one characterized by the effective elasticity tensor with uncertainty. |
| Keywords: | A Polymer–matrix composites (PMCs) B Mechanical properties C Finite element analysis (FEA) |
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