单晶有限变形的热力耦合计算模型  

A thermo-mechanical coupled model of single crystal for finite deformation

作　　者：赵聃[1] 朱祎国[1] 胡平[1] 张万喜[1] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室运载工程与力学学部,大连116023

出　　处：《计算力学学报》2014年第4期501-505,544,共6页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(10932003;11272075);国家基础性发展规划(2012CB619603;010CB832700);国家工信部04重大专项(2011ZX04001-21)资助项目

摘　　要：以弹性变形梯度作为基本变量,结合热力学理论构造了单晶有限变形的热、力耦合计算模型。该模型考虑了温度、变温速率以及塑性耗散等条件对单晶有限变形的影响,相对于传统的以弹性变形梯度为基本变量的晶体塑性模型,算法能够体现温度效应的影响。采用隐式的积分方法对建立的控制方程进行计算以保证求解过程的稳定。以1100Al单晶为例计算了不同升温、降温速率,以及不同应变率影响下的材料应力-应变的响应。结果表明,模型能较好地反映变温过程中,单晶各向异性性质的演化以及应力、应变之间关系的变化。A thermo-mechanical coupled model based on thermodynamic theory is presented .The elastic deformation gradient was chosen as the basic integration variable in this model .The effects of temper-ature ,temperature changing rate and dissipation of plastic deformation are considered in the finite de-formation computation .Compared to the traditional algorithm with the elastic deformation gradient as its basic variable ,this model can reveal the thermal effects .An implicit integration method was chosen to en-sure the numerical stability .T he effects of different heating/cooling rates and strain rates on stress-strain response of 1100 Al single crystal are computed .The results showed that this model can evaluate the variation of anisotropy and stress-strain response for single crystal deformation with changing tem-perature .

关 键 词：单晶体 晶体滑移 热效应 有限变形 

分 类 号：O344[理学—固体力学]