A MICROMECHANICAL ANALYSIS OF THE NONLINEAR ELASTIC AND VISCOELASTIC CONSTITUTIVE RELATION OF A POLYMER FILLED WITH RIGID PARTICLES

【摘要】 <正> Micromechanical theory is applied to study the nonlinear elastic andviscoelastic constitutive relations of polymeric matrix filled with high rigidity solidparticles. It is shown that Eshelby’s method can be extended to the case of nonlinearmatrix and Eshelby’s tensor still exists provided that Poisson’s ratio of the nonlinearmatrix assumes constant value in deforming process and the rigidity of elastic fillingparticles is much higher than that of the matrix. A new method for averaging processis proposed to overcome the difficulty that occured in applying the ordinary equivalentinclusion method or the seff-consistant method to nonlinear matrices. A rather simpleconstitutive equation is obtained finally and the strengthening effect of solid particlesto composites is investigated.更多还原

【Abstract】 Micromechanical theory is applied to study the nonlinear elastic and viscoelastic constitutive relations of polymeric matrix filled with high rigidity solid particles. It is shown that Eshelby’s method can be extended to the case of nonlinear matrix and Eshelby’s tensor still exists provided that Poisson’s ratio of the nonlinear matrix assumes constant value in deforming process and the rigidity of elastic filling particles is much higher than that of the matrix. A new method for averaging process is proposed to overcome the difficulty that occured in applying the ordinary equivalent inclusion method or the seff-consistant method to nonlinear matrices. A rather simple constitutive equation is obtained finally and the strengthening effect of solid particles to composites is investigated.更多还原