고차전단변형이론에 기저한 4절점 가변형률 판 요소를 이용한 비대칭 적층 판의 유한요소해석

Abstract

A 4-node assumed strain finite element based on higher order shear deformation theory is developed to investigate the behaviors of unsymmetric laminated composite plates. The present plate element is denoted as HSA4 and it has seven degrees of freedom per node. The present element is based on Reddy's higher order shear deformation theory so that it can realistically represent the parabolic shape of transverse shear deformation through the thickness direction. In particular, assumed strain method is adopted to alleviate the shear locking phenomena inherited in the plate elements formulated with transverse shear deformation theory. Several numerical tests are carried out to show the capability of the present plate element for not only symmetric but also unsymmetric laminated composite plates with various values of plate thickness. The results are compared with reference solutions produced by other higher order shear deformation theories. From numerical results, it is found to be that the present element show very good performance in most cases and the present solutions have very good agreements with other reference solutions.