基于整体-局部位移假设的高阶理论及其三角形板单元

HIGHER-ORDER SHEAR DEFORMATION THEORY AND TRIANGULAR PLATE ELEMENT BASED ON GLOBAL-LOCAL SUPERPOSITION

本文推导一种基于整体 -局部位移假设的高阶理论 ,该理论满足层间位移、应力连续条件 ,满足上、下自由表面条件。建立基于此高阶理论的三节点三角形层合板单元。数值计算结果表明此高阶理论能很好地描述剪切变形效应 ,该位移单元不仅能很好地计算整体位移参数 ,而且能很好地计算横向剪切应力。

A higher order shear deformation theory based on global local displacement hypothesis is proposed.This theory fully satisfies the geometric and stress continuity conditions at interfaces and free shear traction conditions on the top and bottom surfaces.It is found that a so called global local superposition technique could be used for expressing the laminate theories in an explicit manner to retain the advantage of numerical efficiency.Based on the superposition technique,the individual terms are identified.It is concluded that not only the completeness of the terms,but also the inclusion of as many terms as possible, are important to a laminate theory.A three nodes triangular element based on this theory is also proposed.The numerical examples show that the higher order shear deformation theory can describe accurately the shear deformation and this displacement element can calculate accurately not only the global displacements but also the interlayer shear stresses.