期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 49, 期 14, 页码 2006-2014出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2012.04.006
关键词
Homogenization; Random finite element method (RFEM); Representative volume element (RVE); Effective elastic properties; Foundation analysis; Elastic settlement; Probability and statistics
类别
资金
- NSF [CMMI-0970122]
- KGHM Cuprum, Wroclaw, Poland through the Framework 7 EU project on Industrial Risk Reduction (IRIS)
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [0970122] Funding Source: National Science Foundation
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.
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