Effective moduli of particulate solids: The completed double layer boundary element method with lubrication approximation

F. Qi; N. Phan-Thien; X. J. Fan

首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >Effective moduli of particulate solids: The completed double layer boundary element method with lubrication approximation

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Effective moduli of particulate solids: The completed double layer boundary element method with lubrication approximation

机译：颗粒固体的有效模量：完整的双层边界元法，近似润滑

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This paper reports the numerical results of the effective moduli of a composite consisting of identical rigid spherical inclusions in a homogeneous isotropic elastic medium. The effective moduli are calculated for particles in simple, body-centered, face-centered cubic lattices, and in a random configuration. The numerical technique used is the Completed Double Layer Boundary Element Method (CDLBEM) augmented by a short-range lubrication approximation. The results agree well with previous numerical results obtained by a completely different technique. Agreement with experimental results for particles in random configurations is also observed.

机译：本文报道了均质各向同性弹性介质中由相同刚性球形夹杂物组成的复合材料的有效模量的数值结果。对于简单，以人体为中心，以面为中心的立方晶格以及随机配置的粒子，计算有效模量。使用的数值技术是完整的双层边界元方法（CDLBEM），并通过短程润滑近似进行了扩充。结果与通过完全不同的技术获得的先前数值结果非常吻合。还观察到与随机配置的颗粒的实验结果一致。

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《ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees》 |2000年第1期|共22页
作者
F. Qi; N. Phan-Thien; X. J. Fan;
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正文语种 eng
中图分类应用数学;
关键词
particulate solids; boundary element method; completed double layer BEM; lubrication approximation; effective moduli; contitutive equations; micromechanics;

机译：颗粒状固体边界元法双层边界元法润滑近似有效模量本构方程微观力学;

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2. Effective moduli of particulate solids: The completed double layer boundary element method with lubrication approximation [J] . F. Qi, N. Phan-Thien, X. J. Fan ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 2000,第1期

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3. Approximation of the effective moduli of particulate composite with the fixed grid finite element method [J] . J.Q. Bao, Z.H. Ji, Q. Yang Finite Elements in Analysis and Design . 2014,第jana期

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5. Direct evaluation of lubrication forces in asymptotically corrected completed double layer boundary integral equation formulations [C] . A. A. Mammoli International Conference on Computational Methods in Multiphase Flow . 2004

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7. Computational efficiency of numerical approximations of tangent moduli for finite element implementation of a fiber-reinforced hyperelastic material model [O] . Haofei Liu, Wei Sun -1

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Effective moduli of particulate solids: The completed double layer boundary element method with lubrication approximation

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