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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Dual-mixed hp finite element model for elastic cylindrical shells
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Dual-mixed hp finite element model for elastic cylindrical shells

机译：弹性圆柱壳的双混合马力有限元模型

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摘要

A dimensionally reduced cylindrical shell model using a three-field complementary energy-based Hellinger-Reissner's variational principle of non-symmetric stresses, rotations, and displacements is presented. An important property of the shell model is that the classical kinematical hypotheses regarding the deformation of the normal to the shell mid-surface are not applied. A dual-mixed hp finite element model with stable polynomial stress- and displacement interpolation and C ~0 continuous normal components of stresses is constructed and presented for the bending-shearing problem, using unmodified three-dimensional inverse stress-strain relations for linearly elastic materials. It is shown through an example that the convergences in the energy norm as well as in the maximum norm of stresses and displacements are rapid for both h-extension and p-approximation, not only for thin but also for moderately thick shells loaded axisymmetrically, even if the Poisson ratio is close to the incompressibility limit of 0.5.
机译：提出了使用基于三场互补能量的Hellinger-Reissner非对称应力，旋转和位移的变分原理的尺寸减小的圆柱壳模型。壳模型的一个重要属性是没有应用关于壳中表面法线变形的经典运动学假设。使用线性弹性材料的未修改三维逆应力-应变关系，构建了具有稳定多项式应力和位移插值以及应力为C〜0连续法向分量的双重混合hp有限元模型，并针对弯曲剪切问题提出了该模型。 。通过一个示例表明，对于h扩展和p逼近，能量规范以及应力和位移的最大规范的收敛都是快速的，不仅对于薄的而且对于轴对称加载的中等厚度的壳，甚至对于如果泊松比接近不可压缩极限0.5。

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