The current paper introduces a three-dimensional micromechanical model of open-cell cellular solid materials and presents the homogenization of the model to an orthotropic continuum. An orthotropic microstructural beam model was created and tested under pure stretch and pure angular distortion to identify the dominant deformation modes by mapping the contributions of normal-, bending- and torsional stiffness to the total strain energy. In the case of unidirectional tension, the deformation mode was dependent primarily on the proportion of normal- and bending stiffnesses, except for the cases with similarly small bending- and torsional stiffness values, where the contribution of torsion was significant. In the case of the pure angular distortion, the key deformation mode was defined by the ratio of bending- and torsional stiffness values, except for the case of large normal- and torsional stiffness values, which resulted in normal-deformation-driven behaviour.

中文翻译：

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开孔多孔结构的三维弹性特性：解析和有限元建模

本文介绍了开孔多孔固体材料的三维微机械模型，并提出了该模型对正交各向异性连续体的均质化。创建了正交各向异性微结构梁模型，并在纯拉伸和纯角度变形下进行测试，通过将法向刚度、弯曲刚度和扭转刚度对总应变能的贡献映射来识别主要变形模式。在单向拉伸的情况下，变形模式主要取决于法向刚度和弯曲刚度的比例，但弯曲刚度和扭转刚度值同样较小的情况除外，其中扭转的贡献很大。在纯角度变形的情况下，关键变形模式由弯曲和扭转刚度值的比率定义，但法向和扭转刚度值较大的情况除外，这会导致法向变形驱动行为。