Computer-aided Analysis of Micromechanics and Damage of Composite Materials Based on Multiscale Homogenization Method
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Computer-aided Analysis of Micromechanics and Damage of Composite Materials Based on Multiscale Homogenization Method Yuriy I. Dimitrienko1, Alexandr P. Sokolov1,2, Yulia V. Shpakova1,2 1 Department of Computational Mathematics and Mathematical Physics, Bauman Moscow State Technical University, 105005, 2-ya Baumanskaya 5-1, Moscow, Russian Federation. 2 Scientific-educational Center on Supercomputer Modeling and Software Engineering, Bauman Moscow State Technical University, 105005, 2-ya Baumanskaya 5-1, Moscow, Russian Federation ABSTRACT Results of finite element analysis of linked two and three scale levels tasks are presented. Fields of components of stress concentration tensor function for several models of unit cells of textile composite materials are presented too. Comparison of experimental and computational results of obtained effective properties was carried out and results of this research are introduced. The basis of this phenomenological approaches was made by Prof. N.S. Bahvalov and Prof. B.E. Pobedriya in 80's and finally this method was renovated by Prof. Yu.I. Dimitrienko at Bauman Moscow State Technical University at «Computational mathematics and mathematical physics» department. Computational procedures and program implementation was made using object-oriented design and C/C++ language by A.P. Sokolov. All computational results have been performed using new-developed distributed high-perfomance software system GCD. Multiscale homogenization method was applied for single macroscopic level of composite construction and several connected microscopic levels. The task of stress-strain determination of composite construction was stated automatically by means of automatically defined plan based on certain computational problems. Architecture of software system and finite-element subsystem were developed too. Several practically important tasks were solved and some of its results are attached.
INTRODUCTION In this work we consider the strength-elastic properties of textile composite materials. Materials under research have a complex heterogeneous inner microstructure which can be spanned several scale levels. We made an assumption of periodicity of reinforcement scheme of every composite construction on each scale level based on certain unit cell. A series of structure definition elements so-called unit cells on each scale level were defined. It must be considered that real composite consists of different types of components: fillings (yarns, monofilament, fibrils and etc.), binders, compounds. Thus the model of such composite must had been taken into consideration all of these features. Multiscale asymptotic homogenization method was used to obtain effective strength-elastic properties of every model of composite based on particular unit cell. Classic finite-element method was used as a core calculation technique. Objects of research of this work were: 1. Mathematical design of effective strength-elastic properties of reinforced composite materials with multilevel hierarchical inner structure (MCM – m
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