Non-Linear Analysis of Viscoelastic Rectangular Plates Subjected to In-Plane Compression

Journal of Mechanical Research and Application

شناسنامه علمی شماره، دوره 2، شماره 1، خرداد 2010، صفحه 11-21   

نویسندگان

Manuchehr Salehi^{* 1}؛ Amin Safi-Djahanshahi²

¹Associate Professor, Mechanical Engineering Department and Concrete Technology and Durability Research Centre, Amirkabir University of Technology, Tehran, Iran

²M. Sc., Sirjan Engineering Department, Shahid Bahonar University of Kerman, Sirjan, Iran

چکیده

Geometrically nonlinear governing equations for a plate with linear viscoelastic material are derived. The material model is of Boltzmann superposi‌tion principle type. A third-order displacement field is used to model the shear deformation effects. For the solution of the nonlinear governing equations the Dynamic Relaxation (DR) iterative method together with the finite difference discretization technique is used. Finally, the numerical results for the critical buckling load for simply supported edge constraints are reported. In order to justify the accuracy of the results, the elastic plate critical buckling loads are obtained and compared with the existing results. The correlations are very satisfactory. The numerical results are presented for Classical Plate Theory (CPT), First order- Shear Defonmation Plate Theory (FSDT) and Higher Order- Shear Deformation Plate Theory (HSDT). In the case of thick plate the differences among the three theories are highlighted, however, for thin plate the variations are very small.

کلیدواژه‌ها

Viscoelastic Plate؛ Mindlin Plate؛ Buckling؛ Rectangular plate؛ Dynamic Relaxation؛ Higher-Order Shear Deformation