每年出版 6 期
ISSN 打印: 1543-1649
ISSN 在线: 1940-4352
Indexed in
GENERAL INTEGRAL EQUATIONS OF STOKES FLOW THROUGH THE RANDOM STRUCTURE POROUS MEDIA
摘要
One considers a slow linear flow through a fixed random bed of rigid particles. The general integral equations (GIEs) connecting the fields of velocities and pressures of fluid in a point being considered and the fields in the surrounding points are obtained for the random (statistically homogeneous and inhomogeneous, so-called graded) structures containing the particles of arbitrary shape and orientation. The new GIEs are presented in a general form of perturbations introduced by the heterogeneities. The mentioned perturbations can be found by any available numerical method which has advantages and disadvantages; if it is crucial for the analyst to be aware of their range of applications. The method of obtaining GIEs is based on a centering procedure of subtraction from both sides of a new initial integral equation, their statistical averages obtained without any auxiliary asymptotic assumptions, which are exploited in the known centering methods. One proves the absolute convergence of the proposed GIEs and establishes an advantage with the known GIEs.
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Buryachenko Valeriy A, Interface integral technique for the thermoelasticity of random structure matrix composites, Mathematics and Mechanics of Solids, 24, 9, 2019. Crossref
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Buryachenko Valeriy A., Interface Integral Technique in Thermoelasticity of Random Structure Matrix CMs, in Local and Nonlocal Micromechanics of Heterogeneous Materials, 2022. Crossref