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首页> 外文期刊>Composite Structures >A hybrid discontinuous Galerkin semi-discrete finite element method for skewed and curved laminated beams/plates/shells based on Delta function
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A hybrid discontinuous Galerkin semi-discrete finite element method for skewed and curved laminated beams/plates/shells based on Delta function

机译：基于Delta函数的斜弯叠合梁/板/壳混合非连续Galerkin半离散有限元法。

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摘要

A hybrid discontinuous finite element method based on Delta function is developed for skewed and curved laminated beams/plates. Equal-order interpolations for displacement field and interface stress field are obtained without numerical oscillations. For the displacement field, the Consistent Orthogonal Basis Function Space is applied. For the interface stress field, the Delta function is used as basis functions. Two types of Delta functions are discussed. For the first type, the Delta function is defined uniformly on the interface. For the second type, the Delta function is defined on the Gauss points. It is observed that the numerical oscillation occurs in the first type for a large deformation analysis. For the second type, it is always numerical stable. The effect domain of the Delta function is discussed such that the stress on the interface is able to be calculated.
机译：针对偏斜和弯曲的层合梁/板，开发了一种基于Delta函数的混合不连续有限元方法。获得了位移场和界面应力场的等阶插值，而没有数值振荡。对于位移场，应用一致的正交基函数空间。对于界面应力场，将Delta函数用作基本函数。讨论了两种类型的Delta函数。对于第一种类型，Delta函数在接口上统一定义。对于第二种类型，在高斯点上定义了Delta函数。可以观察到，在大变形分析中，数值振动发生在第一种类型中。对于第二种类型，它始终是数值稳定的。讨论了Delta函数的作用域，以便能够计算界面上的应力。

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