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Peng Fan, Gu Yongjun, Ma Qingzhen. CREEP BEHAVIOR OF VISCOELASTIC FUNCTIONALLY GRADED MATERIALS AND STRUCTURES IN THERMAL ENVIRONMENT[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 308-316. DOI: 10.6052/0459-1879-2012-2-20120214
Citation: Peng Fan, Gu Yongjun, Ma Qingzhen. CREEP BEHAVIOR OF VISCOELASTIC FUNCTIONALLY GRADED MATERIALS AND STRUCTURES IN THERMAL ENVIRONMENT[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 308-316. DOI: 10.6052/0459-1879-2012-2-20120214

CREEP BEHAVIOR OF VISCOELASTIC FUNCTIONALLY GRADED MATERIALS AND STRUCTURES IN THERMAL ENVIRONMENT

Funds: The project was supported by the Natural Science Foundation of Hunan Province (11JJ3001).
  • Received Date: July 15, 2011
  • Revised Date: October 11, 2011
  • Based on classical correspondence principle, Mori-Tanaka and other micromechanical approaches are extended to treat the case of linear viscoelasticity in the constant thermal environment. The relaxation modulus and coefficient of thermal expansion of linearly viscoelastic FGMs are given directly in Laplace phase space, and multi-dimensional viscoelastic constitutive relation coupling thermal strain is constructed through considering the weak time-dependent feature of Poisson's ratio. Following the above work, the problem of axial symmetrical bending of viscoelastic functionally graded circular cylindrical thin shells is solved. The steady temperature field is determined taking into account of the temperature dependence of thermal and mechanical parameters. The analytic solution is derived in phase space and the creep deflection is obtained by means of Laplace numerical inversion. It is shown that the thermal effect is obvious at initial creep stage, but abates with the increase of time due to the relaxation of the thermal stresses, and the constraint effect for hinged ends is more prominent than that of clamped ends on the deflection near ends when circular cylindrical thin shell is subjected to axial compression. It is expected to give the general approach to analyze the creep deformation of viscoelastic functionally graded structures with arbitrary distribution of volume content under thermal and mechanical loading by solving above problem of axial symmetrical bending.
  • 1 陈建钧, 涂善东, 轩福贞等. 蠕变条件下梯度材料球罐应力应 变行为分析. 机械工程学报, 2008, 44(3): 89-93 (Chen Jianjun, Tu Shandong, Xuan Fuzhen, et al. Analysis on stress and strain behavior of spherical vessel of functionally graded material under creep condition. Chinese Journal of Mechanical Engineering, 2008, 44(3): 89-93 (in Chinese))
    2 You LH, Ou H, Zheng ZY. Creep deformations and stresses in thick-walled cylindrical vessels of functionally graded materials subjected to internal pressure. Composite Structures, 2007, 78(2): 285-291   
    3 Mukherjee S, Paulino GH. The elastic-viscoelastic correspondence principle for functionally graded materials, revisited. ASME J Appl Mech, 2003, 70(3): 359-363   
    4 Lev Khazanovich. The elastic-viscoelastic correspondence principle for non-homogeneous materials with time translation non-invariant properties. International Journal of Solids and Structures, 2008, 45(1): 2-10
    5 Zhang NH, Wang ML. Thermoviscoelastic deformations of functionally graded thin plates. European Journal of Mechanics A/Solids, 2007, 26(5): 872-886   
    6 李伟杰, 王保林, 张幸红. 功能梯度材料的黏弹性断裂问题. 力学学报, 2008, 40(3): 402-406 (Li Weijie, Wang Baolin, Zhang Xinghong. Viscoelastic fracture of a functionally graded material strip. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(3): 402-406 (in Chinese))
    7 沈惠申. 功能梯度复合材料板壳结构的弯曲、屈曲和振动. 力学进展, 2004, 34(1): 53-60 (Shen Huishen. Bending, buckling and vibration of functionally graded plates and shells. Advances in Mechanics, 2004, 34(1): 53-60 (in Chinese))
    8 梁军, 杜善义. 粘弹性复合材料力学性能的细观研究. 复合材料学报, 2001, 18(1): 97-100 (Liang Jun, Du Shanyi. Study of mechanical properties of viscoelastic matrix composite by micromechanics. Acta Materiae Compositae Sinica, 2001, 18(1): 97-100 (in Chinese))
    9 刘书田, 马宁. 粘弹性复合材料热应力松弛与本构关系研究 (\uppercase\expandafterromannumeral1 ): 理论分析. 复合材料学报, 2005, 22(1): 152-157 (Liu Shutian, Ma Ning. Study on the thermal stress relaxation and constitutive equations of viscoelastic composite materials (\uppercase\expandafterromannumeral1 ): general theory. Acta Materiae Compositae Sinica, 2005, 22(1): 152-157 (in Chinese))
    10 Muliana AH. A micromechanical model for predicting thermal properties and thermo-viscoelastic responses of functionally graded materials. International Journal of Solids and Structures, 2009, 46(9): 1911-1925   
    11 Khan KA, Muliana AH. A multi-scale model for coupled heat conduction and deformations of viscoelastic functionally graded materials. Composites: Part B, 2009, 40(6): 511-521   
    12 Mori T, Tanaka K. Average stress in matrix and averge energy of materials with misfitting inclusions. Acta Metallurgy, 1973, 21(5): 571-574   
    13 杜善义, 王彪. 复合材料细观力学. 北京: 科学出版社, 1998 (Du Shanyi, Wang Biao. Micromechanics of Composite Materials. Beijing: Science Press, 1998 (in Chinese))   
    14 Christensen RM. Mechanics of Composite Materials. New York: John Wiley & Sons, Inc. 1979
    15 Yin HM, Paulino GH, Buttlar WG, et al. Micromechanics-based thermoelastic model for functionally graded particulate materials with particle interactions. Journal of Mechanics and Physics of Solids, 2007, 55(1): 132-160   
    16 彭凡, 陈耀军, 刘一凡等. 基于 Fourier 级数展开的 Laplace 数值逆变换. 力学学报, 2008, 40(2): 215-221 (Peng Fan, Chen Yao-jun, Liu Yifan, et al. Numerical inversion of Laplace transfors in viscoelastic problems by Fourier series expansion. Chinese Journal of Theoretical and Applied Mechanics, 2008,40(2): 215-221 (in Chinese))

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