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Application of Homogenization Method in Continuum Micromechanics to Viscoelastic Composites

Author: LiuWenHui
Tutor: ZhangChunYuan
School: Xiangtan University
Course: General and Fundamental Mechanics
Keywords: Continuum micromechanics Composites Asymptotic homogenization method Correspondence Principle Effective modulus
CLC: O345
Type: Master's thesis
Year: 2004
Downloads: 536
Quote: 4
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Abstract


Micromechanics homogenization theory with homogeneous and non- homogeneous macroscopic structure with periodic distribution of the original description of the microstructure of composite structures : the mechanical quantity expressed as the coordinates on the macro -and micro- coordinate function , and use two kinds of micro-and macro- scale ratio is small parameter , using perturbation technique the original problem into microscopic and macroscopic homogenization homogenization problem issues . Solving these problems is given the effective performance of the composites , and gives the microstructure of the composite stress field . In this paper, the asymptotic homogenization method based on ANSYS parametric design language with periodic boundary conditions established using ANSYS finite element program was solved for single cell analysis of different effective properties of the material microstructure effects , and with the experimental and other theoretical results are compared. Obtained for different directions of the square fiber material effective modulus and effective Poisson's ratio. Research by the isotropic linear elastic isotropic linear strengthen body and the viscoelastic matrix composite material consisting of multilayered problem . Linear elastic multilayer material homogenization method , based on the application flexibility - viscoelastic correspondence principle , in Carson multilayer material VISCOELASTICITY domain problem . Burgers model line through said viscoelastic material substrate , a multilayer material inversion effective relaxation modulus and Poisson's ratio of the effective expression in the time domain , and with the experimental results and the results were compared with other . By using homogenization method twice , to get a class of unidirectional composites reinforced effective modulus expression. Inversion unidirectional reinforced composites effective relaxation modulus in the time domain of expression, and the results were compared with the other .

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CLC: > Mathematical sciences and chemical > Mechanics > Solid Mechanics > Visco-elastic plastic mechanics
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