A homogenization theory for elastic–viscoplastic composites with point symmetry of internal distributions

A homogenization theory for elastic–viscoplastic composites with point symmetry of internal distributions
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内部分布点对称的弹粘塑性复合材料的均质化理论

DOI:
10.1016/s0020-7683(00)00188-8
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发表时间:
2001
影响因子:
3.6
通讯作者:
X. Wu
X. Wu
中科院分区:
工程技术2区
文献类型:
--
作者:
N. Ohno;T. Matsuda;X. Wu

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本作者提出的具有周期性内部结构的非线性时间相关复合材料的均质化理论是在以下假设基础上重建的:成分、应力和应变相对于周期性复合材料中每个晶胞的中心对称分布。证明这种对称性也使得扰动速度场满足相对于晶胞边界面中心的对称性。然后,对称性用于对扰动速度施加边界条件,并以积分形式发展理论,其中将晶胞的一半作为分析域。作为该理论的应用,通过假设承受横向或离轴载荷的方形和六边形纤维阵列来分析单向复合材料的弹粘塑性伸长率。由此表明,点对称性可用于有效计算非线性周期性复合材料的非弹性行为。
The homogenization theory for nonlinear time-dependent composites with periodic internal structures developed by the present authors is rebuilt on the assumption that constituents, stress and strain distribute point symmetrically with respect to the center of each unit cell in periodic composites. It is proved that this symmetry also allows the field of perturbed velocity to satisfy the symmetry with respect to the cell boundary facet centers. The symmetry is then used for imposing the boundary condition on perturbed velocity and for developing the theory in an integral form in which a half of the unit cell is taken as the domain of analysis. As applications of the theory, elastic–viscoplastic elongation of unidirectional composites is analyzed by assuming the square and hexagonal arrays of fibers subjected to either transverse or off-axial loading. It is thus shown that the point symmetry can be used for computing efficiently the inelastic behavior of nonlinear, periodic composites.
使用甲基丙烯酸银的抗菌牙科树脂材料(第1次报告)
DOI: --
发表时间: 2005
期刊: 歯科材料・器械 24
影响因子: --
作者:
Y.Fukase;K.Takahashi;H.Uehara;倉田茂昭ほか
通讯作者: 倉田茂昭ほか