Staggered cell-vertex finite volume method for analyzing stress in heterogeneous composite materials

被引:0
作者
Xuan, Lingkuan [1 ]
Gong, Jingfeng [1 ]
Zhang, Wenping [1 ]
Ming, Pingjian [1 ]
机构
[1] College of Power and Energy Engineering, Harbin Engineering University
来源
Hsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University | 2014年 / 48卷 / 03期
关键词
Finite volume method; Functionally graded material; Heterogeneous composite material; Laminated material; Staggered grid technique;
D O I
10.7652/xjtuxb201403022
中图分类号
学科分类号
摘要
A staggered cell-vertex finite volume method (SCV-FVM) is developed for stress analysis in heterogeneous composite materials. The linear elastic equilibrium equation is discretized based on unstructured grids. The staggered grid technique is adopted to introduce the material variation into the discretization, so it is unnecessary to treat the material interfaces explicitly. SCV-FVM is taken to simulate the elastic fields of macrostructures and the results agree well with the analytical ones. Comparisons between different numerical results show that SCV-FVM is able to avoid numerical oscillation of the stress along traction direction, however it is hard for SCV-FVM to capture the stress jump vertical to the traction direction, which can be improved by refining the mesh around the material interface. The elastic performance of multi-layer composites with microstructures is discussed via SCV-FVM, and the numerical discontinuity and stress concentration due to variation of physical parameters do not appear in the predicted results, which demonstrates the feasibility of SCV-FVM for stress analysis of heterogeneous composite materials.
引用
收藏
页码:121 / 127
页数:6
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共 16 条
  • [1] Pindera M.J., Aboudi J., Arnold S.M., Analysis of the spallation mechanism suppression in plasma-sprayed TBCs through the use of heterogeneous bond coat architectures, International Journal of Plasticity, 21, 6, pp. 1061-1096, (2005)
  • [2] Zhong Y., Bansal Y., Pindera M.J., Efficient reformulation of the thermal higher-order theory for FGMs with locally variable thermal conductivity, International Journal of Computational Engineering Science, 5, 4, pp. 795-831, (2004)
  • [3] Bansal Y., Pindera M.J., Efficient reformulation of the thermoelastic higher-order theory for functionally graded materials, Journal of Thermal Stresses, 26, 11-12, pp. 1055-1092, (2003)
  • [4] Cavalcante M.A.A., Marques S.P.C., Pindera M.J., Parametric formulation of the finite-volume theory for functionally graded materials: part I Analysis, ASME Journal of Applied Mechanics, 74, 5, pp. 935-945, (2007)
  • [5] Cavalcante M.A.A., Marques S.P.C., Pindera M.J., Parametric formulation of the finite-volume theory for functionally graded materials: part II Nnumerical results, ASME Journal of Applied Mechanics, 74, 5, pp. 946-957, (2007)
  • [6] Cavalcante M.A.A., Marques S.P.C., Pindera M.J., Computational aspects of the parametric finite-volume theory for functionally graded materials, Computational Materials Science, 44, 2, pp. 422-438, (2008)
  • [7] Gong J., Xuan L., Ming P., Et al., An unstructured finite-volume method for transient heat conduction analysis of multilayer functionally graded materials with mixed grids, Numerical Heat Transfer: Part B, 63, 3, pp. 222-247, (2013)
  • [8] Gong J., Ming P., Xuan L., Et al., Thermoelastic analysis of three-dimensional functionally graded rotating disks based on finite volume method, Proceedings of the Institution of Mechanical Engineers: Part C Journal of Mechanical Engineering Science, 227, 12, (2013)
  • [9] Peng X., Li X., Thermal stress in rotating functionally graded hollow circular disks, Composite Structures, 92, 8, pp. 1896-1904, (2010)
  • [10] Peng X., Li X., Elastic analysis of rotating functionally graded polar orthotropic disks, International Journal of Mechanical Sciences, 60, 1, pp. 84-91, (2012)