功能梯度形状记忆合金圆筒受扭的力学行为分析
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摘要
为能简单准确地预测功能梯度形状记忆合金(functionallygradedshapememoryalloy,FG-SMA)在载荷作用下的力学行为,应用有限元软件ANSYS14.0对FG-SMA圆筒在扭矩载荷作用下的受力变形行为进行研究,提出一个适合于模拟FG-SMA力学行为的有限元建模、计算方法,得到FG-SMA圆筒在扭矩作用下的受力变形特点.数值算例显示:FG-SMA圆筒的截面最大应力显著减小,可避免材料由于应力过大而导致的破坏.此外,载荷大小、分布函数和筒壁厚度对FG-SMA圆筒截面上的应力和应变分布有着很大的影响.
In order to predict the mechanical behaviour of functionally graded shape memory alloy(FG-SMA)simply and precisely,the mechanical behavior of a FG-SMA cylinder subjected to torque load was investigated by using the finite element analysis software ANSYS 14.0. A new method for creating a finite element model of FG-SMA was proposed,and the model created this way can simulate the mechanical behavior of FG-SMA very well. The calculating results show that the maximum stress on the cross section of the FG-SMA cylinder decreased significantly,and the destruction caused by too much stress can thus be prevented. At the same time,the distribution of the stress and strain on the cross section of the FG-SMA cylinder was affected greatly by the torque value,the distribution of the volume fraction of SMA,and the thickness of the cylinder wall.
In order to predict the mechanical behaviour of functionally graded shape memory alloy(FG-SMA)simply and precisely,the mechanical behavior of a FG-SMA cylinder subjected to torque load was investigated by using the finite element analysis software ANSYS 14.0. A new method for creating a finite element model of FG-SMA was proposed,and the model created this way can simulate the mechanical behavior of FG-SMA very well. The calculating results show that the maximum stress on the cross section of the FG-SMA cylinder decreased significantly,and the destruction caused by too much stress can thus be prevented. At the same time,the distribution of the stress and strain on the cross section of the FG-SMA cylinder was affected greatly by the torque value,the distribution of the volume fraction of SMA,and the thickness of the cylinder wall.
引文
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[14]Bo Z H,Lagoudas D C,Miller D.Material characterization of SMA actuators under nonproportional thermomechanical loading[J].Journal of Engineering Materials and Technology,1999,121(1):75-85.
[15]Zhu Y P,Dui G S.A macro-constitutive model of polycrystalline NiTi SMAs including tensile-compressive asymmetry and torsion pseudoelastic behaviors[J].International Journal of Engineering Science,2010,48(12):2099-2106.
[2]Mahmud A S,Liu Y N,Nam T.Gradient anneal of functionally graded NiTi[J].Smart Materials and Structures,2008,17(1):015031.
[3]Burkes D E,Moore J.Microstructure and kinetics of a functionally graded NiTi-TiCx composite produced by combustion synthesis[J].Journal of Alloys and Componds,2007,430(1/2):274-281.
[4]Tian H,Schryvers D.Fabrication and characterization of functionally graded Ni-Ti multilayer thin films[J].Functional Materials Letters,2009,2(2):61-66.
[5]Cole D,Bruck H,Roytburd A.Nanoindentation studies of graded shape memory alloy thin films processed using diffusion modification[J].Journal of Applied Physics,2008,103(6):064315.
[6]薛立军.功能梯度形状记忆合金热-力学性能研究[D].北京:北京交通大学,2014.
[7]薛立军,兑关锁,刘兵飞.功能梯度形状记忆合金梁纯弯曲的理论分析[J].机械工程学报,2012,48(22):40-45.
[8]薛立军,兑关锁,刘兵飞.功能梯度形状记忆合金细观力学本构模型[J].工程力学,2014,31(2):225-229.
[9]李源,雷丽萍,曾攀.弹丸束喷丸有限元模型数值模拟及试验研究[J].机械工程学报,2011,47(22):43-48.
[10]于辉,杜凤山,汪飞雪.无缝钢管张力减径过程的有限元模型开发及应用[J].机械工程学报,2011,47(22):74-79.
[11]刘明涛,翟凤潇,李彦启,等.内平动分度凸轮机构扭转刚度及其部分影响因素分析[J].天津科技大学学报,2017,32(2):55-61.
[12]崔世海,袁健,李海岩,等.基于有限元的轿车用制动盘轻量化可行性研究[J].天津科技大学学报,2013,28(5):56-60,65.
[13]崔世海,陈越,阮世捷,等.基于儿童头部有限元模型的颅内响应研究[J].天津科技大学学报,2016,31(3):60-64.
[14]Bo Z H,Lagoudas D C,Miller D.Material characterization of SMA actuators under nonproportional thermomechanical loading[J].Journal of Engineering Materials and Technology,1999,121(1):75-85.
[15]Zhu Y P,Dui G S.A macro-constitutive model of polycrystalline NiTi SMAs including tensile-compressive asymmetry and torsion pseudoelastic behaviors[J].International Journal of Engineering Science,2010,48(12):2099-2106.