Analytical homogenization of linear elasticity based on the interface orientation distribution - A complement to the self-consistent approach

Kalisch Jan; Gluege Rainer

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Analytical homogenization of linear elasticity based on the interface orientation distribution - A complement to the self-consistent approach

机译：基于界面方向分布的线性弹性分析均质化-自洽方法的补充

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摘要

We combine a laminate-based approach and an interface orientation average. For linear elasticity, we obtain analytical expressions for the effective stiffness of mixtures of two isotropic phases with isotropic, transversely isotropic, hexahedral and octahedral interface orientation distributions (IOD). The estimates are in accordance with well-established analytical results such as the Hashin-Shtrikman bounds and Hill's findings for phases with equal shear moduli.

机译：我们结合了基于层压板的方法和界面取向平均值。对于线性弹性，我们获得具有各向同性，横向各向同性，六面体和八面体界面取向分布（IOD）的两个各向同性相混合物的有效刚度的解析表达式。估计值与公认的分析结果（例如Hashin-Shtrikman界线和Hill对于具有相同剪切模量的相的发现）一致。

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来源
《Composite Structures》 |2015年第8期|398-416|共19页
作者
Kalisch Jan; Gluege Rainer;
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作者单位

Univ Magdeburg, D-39106 Magdeburg, Germany;

Univ Magdeburg, D-39106 Magdeburg, Germany;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Homogenization; Self-consistent; Interface orientation distribution;

机译：均质;自洽;界面取向分布;

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1. Analytical homogenization of linear elasticity based on the interface orientation distribution - A complement to the self-consistent approach (vol 126, pg 398, 2015) [J] . Kalisch Jan, Gluege Rainer Composite Structures . 2015,第nova期

机译：基于界面取向分布的线性弹性的分析均质化-对自洽方法的补充（第126卷，第398页，2015年）
2. Random homogenization analysis in linear elasticity based on analytical bounds and estimates [J] . Ma J., Temizer I., Wriggers P. International Journal of Solids and Structures . 2011,第2期

机译：基于分析范围和估计的线性弹性随机均质分析
3. Strength properties of nanoporous materials: A 3-layered based non-linear homogenization approach with interface effects [J] . Brach Stella, Dormieux Luc, Kondo Djimedo, International Journal of Engineering Science . 2017,第Juna期

机译：纳米多孔材料的强度特性：基于界面效应的三层非线性均质化方法
4. Calculation of a composite material's modulus of elasticity: comparison of results using fixed angles orientation and RVE with those using random orientation tensor and multi-step homogenization [C] . Stylianos Anastopoulos, Faidra Givannaki, Paraskevas Papanikos, Virtual European Conference on Fracture . 2020

机译：计算复合材料的弹性模量：使用无随机取向张量和多步均匀化的固定角度取向和rve的结果比较
5. Homogenization in linear and non-linear elasticity. [D] . Temizer, Ilker. 2005

机译：线性和非线性弹性的均质化。
6. Strain distribution due to surface domains: a self-consistent approach with respect to surface elasticity [O] . Javier Fuhr, Pierre Müller 2015

机译：由于表面域而引起的应变分布：关于表面弹性的自洽方法
7. Random homogenization analysis in linear elasticity based on analytical bounds and estimates [O] . Ma Juan, Temizer Ilker, Wriggers Peter 2011

机译：基于分析范围和估计的线性弹性随机均质分析
8. Cell model for homogenization of fiber-reinforced composites: General theory and nonlinear elasticity effects [R] . Aidun, J. B. , Addessio, F. L. 1995

机译：纤维增强复合材料均匀化的细胞模型：一般理论和非线性弹性效应

Analytical homogenization of linear elasticity based on the interface orientation distribution - A complement to the self-consistent approach

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