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A non-linear cubic spline layerwise time domain spectral finite element for the analysis of impacts on sandwich structures

机译：用于分析夹层结构的影响的非线性立方样条分层层光谱有限元

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摘要

The present work addresses the non-linear impact dynamic response of sandwich composite plates with Hertzian contact interaction between the impactor and the plate. Initially, a well-established Cubic Spline Layerwise Theory is employed for the precise description of complex through the thickness kinematics of sandwich composite plates. Furthermore, the expressions of Green Lagrange non-linear strain terms, along with the Deshpande-Fleck flow rule for polymeric crushable foams are presented for non-linear explicit impact dynamics. The material and geometric non-linearities as well as the layerwise mechanics, are integrated into a Time Domain Spectral Element which possesses the attributes of high-order Lagrangian polynomial shape functions and node collocation with the integration points due to the Gauss-Legendre-Lobbato integration scheme. The aforementioned numerical package provides a fast and accurate non-linear explicit integration dynamic module for the prediction of the impact response of sandwich plates, demonstrating the universality and validity of using Hertzian contact in sandwich and laminated composite structures. The proposed novel non-linear numerical model is correlated with experimental results and also with a high-fidelity three-dimensional solid finite element model in terms of accuracy and computationally efficiency.
机译：本工作解决了夹层复合板的非线性冲击动力响应，在撞击器和板之间的赫兹触点相互作用。最初，通过夹层复合板的厚度运动学来使用良好建立的立方样条层理论。此外，对于非线性显式冲击动态，提出了Green Lagrange非线性应变术语的表达式，以及聚合物可抵抗力泡沫的Deshpande-Fleck流程规则。材料和几何非线性以及层状机械师集成到时域光谱元件中，该元素具有高阶拉格朗日多项式功能的属性和由于高斯 - Legendre-Lobbato集成而与集成点的节点搭配方案。上述数值封装提供了一种快速准确的非线性显式集成动态模块，用于预测夹层板的冲击响应，展示使用赫兹·接触在三明治和层压复合结构中的普遍性和有效性。所提出的新型非线性数值模型与实验结果相关，并且在准确性和计算效率方面也与高保真三维固体有限元模型相关。

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