Homogenization of geomaterials containing voids by random fields and finite elements

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:49

Article

Griffiths, D. V.^1,2  Paiboon, Jumpol¹  Huang, Jinsong²  Fenton, Gordon A.^3,4 

[1] Colorado Sch Mines, Dept Civil & Environm Engn, Golden, CO 80401 USA

[2] Univ Newcastle, Australian Res Council, Ctr Excellence Geotech Sci & Engn, Callaghan, NSW 2308, Australia

[3] Dalhousie Univ, Dept Engn Math, Halifax, NS B3J 2X4, Canada

[4] Delft Univ Technol, Fac Civil Engn & Geosci, NL-2600 GA Delft, Netherlands

关键词: Homogenization;    Random finite element method (RFEM);    Representative volume element (RVE);    Effective elastic properties;    Foundation analysis;    Elastic settlement;    Probability and statistics;   

DOI  :  10.1016/j.ijsolstr.2012.04.006

来源: Elsevier

【 摘 要 】

The paper describes the use of random fields and finite elements to assess the influence of porosity and void size on the effective elastic stiffness of geomaterials. A finite element model is developed involving tied freedoms that allows analysis of an ideal block of materials leading to direct evaluation of the effective Young's modulus and Poisson's ratio. The influence of block size and representative volume elements (RVE) are discussed. The use of random fields and Monte-Carlo simulations deliver a mean and standard deviation of the elastic parameters that lead naturally to a probabilistic interpretation. The methodology is extended to a foundation problem involving a footing on an elastic foundation containing voids. The approach enables estimates to be made of the probability of excessive settlement. (C) 2012 Elsevier Ltd. All rights reserved.

【 授权许可】

Free