Stress analysis of anisotropic thick laminates in cylindrical bending using a semi-analytical approach  

作　　者：LU Chao-feng LIM C.W. XU Feng 

机构地区：[1]Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China） [2]Department of Building and Construction, City University of Hong Kong, Kowloon, Hong Kong, China [3]Zhejiang Tiandi Environmental Protection Engineering Co., Ltd., Hangzhou 310012, China

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2007年第11期1740-1745,共6页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：Project supported by the National Natural Science Foundation of China (No. 10432030);the China Postdoctoral Science Foundation (No. 20060401071);the Program for New Century Excellent Talent in University of China (No. NCET-05-0510)

摘　　要：Semi-analytical elasticity solutions for bending of angle-ply laminates in cylindrical bending are presented using the state-space-based differential quadrature method (SSDQM). Partial differential state equation is derived from the basic equations of elasticity based on the state space concept. Then, the differential quadrature (DQ) technique is introduced to discretize the longitu- dinal domain of the plate so that a series of ordinary differential state equations are obtained at the discrete points. Meanwhile, the edge constrained conditions are handled directly using the stress and displacement components without the Saint-Venant principle. The thickness domain is solved analytically based on the state space formalism along with the continuity conditions at interfaces. The present method is validated by comparing the results to the exact solutions of Pagano’s problem. Numerical results for fully clamped thick laminates are presented, and the influences of ply angle on stress distributions are discussed.Semi-analytical elasticity solutions for bending of angle-ply laminates in cylindrical bending are presented using the state-space-based differential quadrature method （SSDQM）. Partial differential state equation is derived from the basic equations of elasticity based on the state space concept. Then, the differential quadrature （DQ） technique is introduced to discretize the longitudinal domain of the plate so that a series of ordinary differential state equations are obtained at the discrete points. Meanwhile, the edge constrained conditions are handled directly using the stress and displacement components without the Saint-Venant principle. The thickness domain is solved analytically based on the state space formalism along with the continuity conditions at interfaces. The present method is validated by comparing the results to the exact solutions of Pagano＇s problem. Numerical results for fully clamped thick laminates are presented, and the influences of ply angle on stress distributions are discussed.

关 键 词：Semi-analytical elasticity solution State-space-based differential quadrature method （SSDQM） Angle-ply laminates Cylindrical bending 

分 类 号：O34[理学—固体力学]