满足板面载荷和横向剪应力连续的层板理论

本文提出了一种简单高阶剪切变形层板理论.其位移场满足层间位移和横向剪应力的连续性,τ_xx、τ_yx在板面等于与板面平行的载荷.位移场的变量与一阶剪切变形理论一样只有五个,但无论厚薄板均逼近精确解.文中合理考虑了层板板面上与板面平行的载荷对层板的作用,大大改善了这类问题解的精度.

A LAMINATES THEORY ACCOUNTING FOR LOADS ON THE SURFACES AND CONTINUE OF INTERFACE SHEAR STRESSES

A simple higher-order shear deformation theory for laminated composite plates is developed.Its displacement field accounts for the continue of displacement and shear stresses between layers,and ensure that τxx、τyx on the plate surfaces are equal to the loads.The theory contains the same unkows as in the first-order shear deformation theory,but its solutions are much more exact.The theory includs reasonably the affect of loads paralleling the plate surfaces,and the precision for analysing these problems is improved considerably.