Transient Thermal Stress Analysis of Variable Properties for Two-dimensional Functionally Graded Material Plates under Non-uniform Temperature Field
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摘要: 研究了非均匀温度场下变物性二维功能梯度材料板的瞬态热应力分布问题。并且建立了Al1100-Ti6Al4V-ZrO2的二维功能梯度材料板的结构模型,构造了二维功能梯度板的有限元求解方法,计算得到了:1)二维功能梯度材料板在不同时刻的瞬态热应力分布规律;2)变物性(组分系数沿板长度和宽度方向变化)二维功能梯度材料板的瞬态热应力分布;3)非均匀温度场下(线性温度分布、非线性温度分布及周期性温度分布)的二维功能梯度材料板的瞬态热应力分布。Abstract: In this paper, the transient thermal stress distribution of variable property for two-dimensional functionally graded material (FGM) plates under non-uniform temperature field is investigated. The model for Al1100-Ti6Al4V-ZrO2 two-dimensional FGM plate is established and the finite element solution for 2D-FGM plate is constructed, which are obtained by calculating 1) the distribution of two-dimensional FGM plate transient thermal stress in different time transient; 2) the distribution of variable property (component coefficient along the plate length and width direction) two-dimensional FGM plate transient thermal stress; 3) under non-uniform temperature field (including constant temperature and linear temperature distribution, nonlinear temperature distribution and temperature distribution of periodic) the distribution of transient thermal stress in two-dimensional FGM plate. The present method can be used as a reference for calculating and analyzing the transient thermal stress for two-dimensional functionally graded materials plate.
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Key words:
- non-uniform temperature field /
- component coefficient /
- 2D-FGM plate /
- thermal stress
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[1] Swaminathan K, Sangeetha D M. Thermal analysis of FGM plates-A critical review of various modeling techniques and solution methods[J]. Composite Structures, 2017,160:43-60 [2] Nemat-Alla M, Ahmed K I E, Hassab-Allah I. Elastic-plastic analysis of two-dimensional functionally graded materials under thermal loading[J]. International Journal of Solids and Structures, 2009,46(14-15):2774-2786 [3] Abbas I A. Nonlinear transient thermal stress analysis of thick-walled FGM cylinder with temperature-dependent material properties[J]. Meccanica, 2014,49(7):1697-1708 [4] Chiba R, Sugano Y. Stochastic analysis of a thermoelastic problem in functionally graded plates with uncertain material properties[J]. Archive of Applied Mechanics, 2008,78(10):749-764 [5] Burlayenko V N, Altenbach H, Sadowski T, et al. Modelling functionally graded materials in heat transfer and thermal stress analysis by means of graded finite elements[J]. Applied Mathematical Modelling, 2017,45:422-438 [6] Tu D H, Xu Y J, Jia J H. Thermal stresses in a ZrO2/FGM/Ti-6Al-4V composite ECBC plate with temperature-dependent material properties[J]. Advanced Materials Research, 2011,150-151:873-876 [7] 仲政,吴林志,陈伟球.功能梯度材料与结构的若干力学问题研究进展[J].力学进展,2010,40(5):528-541 Zhong Z, Wu L Z, Chen W Q. Progress in the study on mechanics problems of functionally graded materials and structures[J]. Advances in Mechanics, 2010,40(5):528-541(in Chinese) [8] 曹蕾蕾,裴建中,陈疆,等.功能梯度材料热应力研究进展[J].材料导报,2014,28(12):46-50,54 Cao L L, Pei J Z, Chen J, et al. The research advance on thermal stress problem of functionally graded materials[J]. Materials Review, 2014,28(12):46-50,54(in Chinese) [9] 许杨健,王飞,杜海洋.初始和边界不同恒温时二维梯度板瞬态温度场[J].固体力学学报,2014,35(2):209-216 Xu Y J, Wang F, Du H Y. Unsteady temperature fields in the 2D-FGM plate under different constant temperatures of initial and boundary[J]. Chinese Journal of Solid Mechanics, 2014,35(2):209-216(in Chinese) [10] 田珂,张光,陶亮.弹塑性梯度材料热机耦合分析的有限元方法[J].航空工程进展,2014,5(1):59-63 Tian K, Zhang G, Tao L. Graded finite element method for mechanistic analysis of heterogeneous structure[J]. Advances in Aeronautical Science and Engineering, 2014,5(1):59-63(in Chinese) [11] 杨东生,张盛,张洪武.基于耦合扩展多尺度有限元方法的功能梯度材料热应力分析[J].复合材料学报,2015,32(4):1107-1117 Yang D S, Zhang S, Zhang H W. Thermal stress analysis of functionally graded material based on coupling extended multiscale finite element method[J]. Acta Materiae Compositae Sinica, 2015,32(4):1107-1117(in Chinese) [12] 高效伟,杨恺.功能梯度材料结构的热应力边界元分析[J].力学学报,2011,43(1):136-143 Gao X W, Yang K. Thermal stress analysis of functionally graded material structures using boundary element method[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011,43(1):136-143(in Chinese) [13] 舒小平.功能梯度涂层壳体热残余应力分析[J].机械科学与技术,2010,29(10):1370-1375 Shu X P. Thermal residual stresses of shells with functionally graded coatings[J]. Mechanical Science and Technology for Aerospace Engineering, 2010,29(10):1370-1375(in Chinese) [14] 王素,倪春阳,朱心雄.一种功能梯度材料活塞的材料梯度方程选择[J].机械科学与技术,2006,25(2):133-138 Wang S, Ni C Y, Zhu X X. Selection of material gradient equations for functional gradient material pistons[J]. Mechanical Science and Technology, 2006,25(2):133-138(in Chinese) [15] 岳永丰,宋玉英,李铁,等.不锈钢薄板高速高功率激光对接焊模拟分析[J].兵器装备工程学报,2016,37(2):97-100 Yue Y F, Song Y Y, Li T, et al. Numerical simulation and analysis on high speed and high power laser butt welding for stainless steel thin plates[J]. Journal of Ordnance Equipment Engineering, 2016,37(2):97-100(in Chinese) [16] 仝国军.组分、加热时间及温度对2D-FGM板热应力的影响[D].河北邯郸:河北工程大学, 2016 Tong G J. Effects of component, heating time and temperature on the thermal stress of 2D-FGM plate[D]. Hebei Handan:Hebei University of Engineering, 2016(in Chinese)
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