含损伤SMA增强智能复合材料的一维增量本构关系  

One-Dimensional Incremental Constitutive Relation for SMA Fiber Reinforced Smart Composites with Damages

作　　者：胡自力[1] 熊克[1] 王鑫伟[1] 

机构地区：[1]南京航空航天大学智能材料与结构航空科技重点实验室,南京210016

出　　处：《南京航空航天大学学报》2003年第5期468-473,共6页Journal of Nanjing University of Aeronautics & Astronautics

基　　金：航空科学基金 ( 0 1 G5 2 0 41 );国家自然科学基金 ( 1 0 0 72 0 2 6)资助项目

摘　　要：基于对马氏体相变热流 -温度曲线的唯象模拟 ,以及马氏体体积分数与热力势对温度偏导数之间的线性关系 ,提出了一种新的马氏体相变动力学模型。借助细观力学模型 ,研究了纤维断裂和剥离对宿主材料刚度和热膨胀系数的影响 ,并给出了相应的数学表达式。引入了纤维断裂损伤度、纤维剥离损伤度和界面影响系数等表征损伤程度的物理量 ,并最终建立了考虑这些损伤影响的形状记忆合金增强智能复合材料的一维增量本构关系。A new Martensitic transformation kinetics model for shape memory alloy (SMA) is proposed based on phenomenological description of the martensitic transformation heat flow temperature curve and the linear relationship between the partial derivatives of martensite fraction and of Gbbis free energy with respect to the temperature. A meso mechanical model is developed to describe the longitudinal stiffness reduction and thermo dilatation variation of the composites caused by fiber breaking or fiber peeling off the base material. One dimensional incremental constitutive relation is then established for SMA fiber reinforced smart composites with damages and three parameters are introduced to describe the extents of fiber breaking, fiber peeling off the base material and interface weakening. Results provide a theoretical basis for further studying on damages of SMA smart structures.

关 键 词：含损伤SMA增强智能复合材料 形状记忆合金 马氏体相变 动力学模型 细观力学模型 本构关系 

分 类 号：TB33[一般工业技术—材料科学与工程] TB301