摘要
根据弹性均匀化理论,并结合有限元方法推导出适用于二维周期结构的均匀化有限元格式,计算出不同相对密度下的正方形孔洞材料的等效弹性参数,以及等效弹性参数与胞元绕坐标系旋转角度的函数关系,考察了胞壁固体相的力学性能参数对宏观力学性能的影响。并将数值计算结果与已有的理论公式进行了比较和分析。结果表明,正方形孔洞材料是各向异性的,其等效弹性参数主要由结构的相对密度来确定,对基体材料的泊松比的变化并不敏感。在相对密度较小的情况下,Gibson公式和Kim公式与均匀化有限元结果吻合较好;当结构相对密度较大时,理论公式结果必须被有限元结果所修正。
The equivalent in-plane elastic moduli of two-dimensional square honeycomb are evaluated. A homogenization FEM is derived for the 2-D periodic structures and applied to the calculation of the equivalent elastic constants of a square honeycomb structure with various relative densities. Simultaneously, effects of the Poisson＇s ratio of the solid phase and rotation angle of the cell structure in relation to a fixed reference coordinate system, on equivalent elastic constants are studied. The numerical results obtained by Homo FEM are then compared with some of the existed analytical results, h is shown that the elastic properties of square cellular materials are anisotropie. The equivalent elastic constants at arbitrary relative densities do not depend on the Poisson＇s ratio of the solid phase. At the low relative density, the equivalent elastic constants obtained by Homo FEM coincide well with those by theoretical analyses. When the relative density is larger, the theoretical analyses results are certain to be modified by the Homo FEM results.
出处
《兵器材料科学与工程》
CAS
CSCD
北大核心
2006年第5期4-8,共5页
Ordnance Material Science and Engineering
基金
国家自然科学基金(90205018
10572100)
山西省归国留学人员(2003-23)
山西省自然科学基金资助项目(20041006)
山西省青年学术带头人资助项目
