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复合材料粘弹性本构关系与热应力松弛规律研究_理论分析_刘书田
22 1 2 2005 Acta Mater iae Comp ositae Sin ica Vol.22 No.1 February 2005 :1000-3851 (2005)01-0152-06 Ⅰ: * 刘书田 , 马 宁 ( , 116024) : , 。 , , 、 。 , :(1) , , , ;(2), , ;(3) , , 。 : ;;;; : T 332;O343 :A STUDY ON THE THERMAL STRESS RELAXATION AND CONSTITUTIVE EQUATIONS OF VISCOELASTIC COMPOSITE MATERIALS, PART I:GENERAL THEORY * LIU Shutian , MA Ning (State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China) Abstract: ased on the homogenization theory, the multi-scale analysis methods of the viscoelastic property, and the effective thermal stress relaxation laws are studied. y defining the concepts, the effective thermal stress relaxation modu- lus (ETSRM)and the effective time-dependent coefficients of thermal expansion (ETCTE), the thermalviscoelastic con- stitutive equationis expressed in the same form as that of conventionalmaterials. esides, a homogenization-based method for predicting the effective viscoelastic relaxation modulus, ETSRM and ETCET is given.It is pointed out that, for vis- coelastic composite materials, the thermal expansion coefficients are time-dependent, and the thermal expansion process can not be completed instantaneously, exhibiting an obvious time-delay effect.The analysis of several kinds of special composite materials show s that:(1)The thermal expansion of porousmaterial has aninstantaneous character, its ETCTE
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