A new integration algorithm for finite deformation of thermo-elasto-viscoplastic single crystals  

作　　者：Dan Zhao Yi-Guo Zhu Ping Hu Wan-Xi Zhang 

机构地区：[1]State Key Laboratory of Structural Analysis for Industrial Equipment,Faculty of Vehicle Engineering and Mechanics,Dalian University of Technology

出　　处：《Acta Mechanica Sinica》2013年第5期709-717,共9页力学学报（英文版）

基　　金：supported by the Key Project of the National Natural Science Foundation of China(10932003);Project of Chinese National Programs for Fundamental Research and Development(2012CB619603 and 2010CB832700);"04" Great Project of Ministry of Industrialization and Information of China (2011ZX04001-21)

摘　　要：An algorithm for integrating the constitutive equations in thermal framework is presented, in which the plastic deformation gradient is chosen as the integration variable. Compared with the classic algorithm, a key feature of this new approach is that it can describe the finite deformation of crystals under thermal conditions. The obtained plastic deformation gradient contains not only plastic defor- mation but also thermal effects. The governing equation for the plastic deformation gradient is obtained based on ther- mal multiplicative decomposition of the total deformation gradient. An implicit method is used to integrate this evo- lution equation to ensure stability. Single crystal 1 100 aluminum is investigated to demonstrate practical applications of the model. The effects of anisotropic properties, time step, strain rate and temperature are calculated using this integration model.An algorithm for integrating the constitutive equations in thermal framework is presented, in which the plastic deformation gradient is chosen as the integration variable. Compared with the classic algorithm, a key feature of this new approach is that it can describe the finite deformation of crystals under thermal conditions. The obtained plastic deformation gradient contains not only plastic defor- mation but also thermal effects. The governing equation for the plastic deformation gradient is obtained based on ther- mal multiplicative decomposition of the total deformation gradient. An implicit method is used to integrate this evo- lution equation to ensure stability. Single crystal 1 100 aluminum is investigated to demonstrate practical applications of the model. The effects of anisotropic properties, time step, strain rate and temperature are calculated using this integration model.

关 键 词：Integration algorithm - Thermal effect Anisotropic elasticity Single crystal Finite deformation 

分 类 号：O344.3[理学—固体力学]