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LINEAR AND NONLINEAR NUMERICAL INVESTIGATIONS OF REGULAR OPEN CELL STRUCTURES

机译:规则开孔结构的线性和非线性数值研究

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摘要

Linear and nonlinear Finite Element simulations of various regular three-dimensional cellular solids (lattice structures) with relative densities ranging from 10% to 20% are presented. The structures consist of polymeric struts with circular cross sections. Two different Finite Element modeling techniques are employed. Beam element based models and continuum element based models are utilized and their applicability is assessed. Beam element based models compromise about the numerical model size and the detail resolution of the problem. Continuum element based models are used for highly detailed unit cell analyses. For simulations of the overall behavior the structures are treated as infinite media by a periodic microfield approach. The entire overall elasticity tensors are computed for the constitutive characterization of the effective mechanical behavior of the micro-structures. Overall stress-strain curves are predicted for uniaxial compressive loading, taking into account finite strains and elasto-plastic strut material. The predicted properties are evaluated with respect to direction dependence and density dependence. Finite samples of specimens are modeled for comparison to experimentally obtained results.
机译:提出了相对密度范围为10%到20%的各种规则三维蜂窝固体(晶格结构)的线性和非线性有限元模拟。该结构由具有圆形横截面的聚合物撑杆组成。采用了两种不同的有限元建模技术。利用基于梁单元的模型和基于连续单元的模型,并评估其适用性。基于梁单元的模型在数值模型大小和问题的详细解决方案上有所折衷。基于连续体元素的模型用于高度详细的晶胞分析。为了模拟整体行为,通过周期性微场方法将结构视为无限媒体。计算整个整体弹性张量是为了对微结构的有效机械行为进行本构表征。考虑到有限应变和弹塑性支撑材料,可预测单轴压缩载荷的总应力-应变曲线。相对于方向依赖性和密度依赖性评估了预测的特性。对样品的有限样本进行建模,以与实验获得的结果进行比较。

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