一种含分层复合材料层合板高阶理论及有限元模型

 本文提出了一种新的复合材料县合板高阶弯曲位移模式。此模式考虑了横向剪切的影响,得到一种新的厚板有限元模型。对于含有分层的单元,通过改变其单元内横向剪切应力的分布,达到改变单元刚度的目的。因此,此模型适用于任何厚度的或含有分层的复合材料层合板。

A HIGH-ORDER THEORY AND FINITE ELEMENT MODEL OF COMPOSITE LAMINATED PLATES AND DELAMINATED PLATES

A new high-order plate bending displacement field is developed for the analysis of composite laminated plates such a displacement field considers reasonably the effect of transverse shear deformation, which satisfies the zero shear stress conditions at the upper and bottom surfaces, and gives up the assumption of εz = 0,The model considers also delaminated plates; the delaminated element stiffness matrix can be proposed by changing transverse shear stress distribution of delaminated element. Consequently, a two dimensional finite element model, which gives solutions approximately equivalent to those of three dimensional elasticity, is established. The finite element model ran be applied to thin or thick composite laminated plates and delaminated plates bending vibration problems. The authors' model gives computed natural frequencies and vibration modes of composite laminated plate that agree fairly well with experimental results.