聚合物基复合材料单向板黏弹性模型  

The viscoelastic model of PMC unidirectional plates

作　　者：张小玉[1] 黄乾钰 陈建中[1] 李卓球[1] 

机构地区：[1]武汉理工大学理学院,湖北武汉410070

出　　处：《华中科技大学学报（自然科学版）》2015年第1期30-33,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家高技术研究发展计划资助项目(2013AA031306);国家自然科学基金青年科学基金资助项目(11102142);中央高校基本科研业务费专项资金资助项目(2014-Ia-014)

摘　　要：为了建立一种由基体的黏弹性获得复合材料黏弹性的新方法,从基体材料的黏弹性模型出发,提出一种复合材料单向板黏弹性模型.由该模型的平衡方程组,经拉普拉斯变换与逆变换推导其黏弹性本构关系,该表达形式与基体材料的黏弹性本构方程具有相同的形式.进行了基体材料和复合材料单向板的黏弹性实验,结果表明:复合材料单向板的蠕变柔量公式的实验拟合参数值与理论推导的参数值较为接近,该模型能够较准确地表达复合材料单向板的黏弹性行为.该模型只须测出基体的弹性模量及蠕变常数、复合材料单向板的弹性模量及基体含量,即可预测聚合物基复合材料单向板的黏弹性行为.In order to estabish a new method for composite viscoelastic obtained by matrix viscoelastic,started from the viscoelastic model of the matrix materials,a viscoelastic model of unidirectional fiber-reinforced composite plates was proposed.The Laplace transformation and inverse Laplace transformation was used to change the equilibrium equation to deduce the viscoelastic constitution relation,and this expression is similar to the expression of matrix materials.According to the verification of experiment about the matrix materials and unidirectional fiber-reinforced composite plates,this model can express the creep of the unidirectional fiber-reinforced composite plates accurately.We have find a way to get the viscoelasticity of composite materials directly from the viscoelasticity of matrix materials.The proposed method established the foundation of the discovery of the laminate viscoelasticity.

关 键 词：聚合物基复合材料 黏弹性模型 拉普拉斯变换 细观力学模型 蠕变柔量 

分 类 号：O34[理学—固体力学]