Instability of heated circular FGM plates on a partial Winkler-type foundation

被引:0
作者
Y. Kiani
M. R. Eslami
机构
[1] Amirkabir University of Technology,Mechanical Engineering Department, Academy of Sciences
来源
Acta Mechanica | 2013年 / 224卷
关键词
Elastic Foundation; Circular Plate; Stability Equation; Classical Plate Theory; Annular Sector Plate;
D O I
暂无
中图分类号
学科分类号
摘要
Thermal buckling analysis of a transversely graded circular plate attached to a centric partial elastic foundation is studied, analytically. Thermomechanical properties of the circular plate are distributed across the thickness based on a power law function. The governing equations of the plate are obtained by means of the classical plate theory. A conventional Winkler-type foundation is assumed to be in contact with the plate which acts in compression as well as in tension. Proper boundary conditions are chosen after pre-buckling analysis of the plate, and stability equations are established via the adjacent equilibrium criterion. To analyze the thermal stability problem, the plate is divided into two sections, a foundation-less domain and an in-contact region. An exact procedure is presented to accurately predict the critical buckling temperature as well as the buckled configuration of the plate. Analysis of various involved parameters including the Winkler parameter, foundation radius, power law index, and loading type is presented. It is concluded that while the loading is symmetric, in many cases, the buckled configuration of the plate is asymmetric.
引用
收藏
页码:1045 / 1060
页数:15
相关论文
共 64 条
  • [11] Wang C.Y.(2003)Thermal postbuckling and bending behavior of circular plates with temperature dependent material properties Key Eng. Mater. 243–244 195-200
  • [12] Yu L.H.(2007)Vibration of thermally post-buckled orthotropic circular plates J. Therm. Stress. 30 43-57
  • [13] Wang C.Y.(2007)Simple formulation to predict thermal postbuckling load of circular plates AIAA J. 45 1784-1786
  • [14] Yu L.H.(2009)Reinvestigation of intuitive approach for thermal postbuckling of circular plates AIAA J. 47 2493-2495
  • [15] Wang C.Y.(2002)Buckling Analysis of Circular plates of functionally graded materials under uniform radial compression Int. J. Mech. Sci. 44 2479-2493
  • [16] Wang C.Y.(2002)First-order-theory-based thermoelastic stability of functionally graded material circular plates AIAA J. 40 1444-1450
  • [17] Rao L.B.(2008)An exact solution for buckling of functionally graded circular plates based on higher order shear deformation plate theory under uniform radial compression Int. J. Mech. Sci. 50 603-612
  • [18] Rao C.K.(2004)Thermal buckling of functionally graded circular plates based on higher order shear deformation plate theory Eur. J. Mech. A Solids 23 1085-1100
  • [19] Rao L.B.(2011)An analytical solution for buckling of moderately thick functionally graded sector and annular sector plates Arch. Appl. Mech. 81 809-828
  • [20] Rao C.K.(2011)Buckling analysis of functionally graded annular sector plates resting on elastic foundations ImechE Part C 225 312-325