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首页> 外文期刊>Journal of University of Kuwait >An efficient three-node triangular element to study the response of coupled bending-twisting effects for symmetrically laminated plates
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An efficient three-node triangular element to study the response of coupled bending-twisting effects for symmetrically laminated plates

机译：一个有效的三节点三角单元，用于研究对称层合板的弯扭耦合效应

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摘要

A new efficient three-node triangular plate element with three degrees of freedom—one transverse displacement and two rotations—at each node suitable for a bending-twisting response of moderately-thick and thin symmetrically laminated composite plates is presented. The deformation formulation of the plate element is based on Reissner and Mindlin's theory that incorporates the effects of transverse shear deformations. The element normally shows a severe shear locking effect in thin plate situations using isoparametric interpolation functions with full integration scheme. A constant transverse shear strain criterion is now implemented in its formulation along with a recently developed transverse shear strain correction expression to circumvent such locking effects. The element shows a robustness for regular and cross-diagonal triangular mesh configurations in both moderately-thick and thin situations. The element shows fast convergence, and remains stable for the three-point integration scheme. For the purpose of illustration, the numerical results are presented for symmetrically angle-ply laminated simply-supported and fully-clamped edge plates that produce bending-twisting coupling. The results are compared with recently available double Fourier series and generalized Navier's - based analytical solutions, and a well-established finite element solution.
机译：提出了一种新型的高效三节点三角板元件，该元件在每个节点处具有三个自由度（一个横向位移和两个旋转），适用于中等厚度和薄的对称层压复合板的弯曲扭转响应。板单元的变形公式基于Reissner和Mindlin的理论，其中包含了横向剪切变形的影响。通常，使用等参插值函数和完全积分方案时，该元件通常在薄板情况下会表现出严重的剪切锁定效应。现在，在其公式中采用了恒定的横向剪切应变准则以及最近开发的横向剪切应变校正表达式来规避这种锁定效果。该元件在中等厚度和较薄的情况下均显示出对规则和交叉对角三角形网格配置的鲁棒性。该元素显示出快速收敛，并且对于三点集成方案保持稳定。为了说明的目的，给出了产生角扭耦合的对称角叠层的简单支撑和完全夹紧的边缘板的数值结果。将结果与最近可用的双傅立叶级数和基于广义Navier的解析解以及完善的有限元解进行比较。

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