Homogenization of geomaterials containing voids by random fields and finite elements

作者：Griffiths D V^*; Paiboon Jumpol; Huang Jinsong; Fenton Gordon A

来源：International Journal of Solids and Structures, 2012, 49(14): 2006-2014.

DOI：10.1016/j.ijsolstr.2012.04.006

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

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 %26quot;tied freedoms%26quot; that allows analysis of an ideal block of materials leading to direct evaluation of the effective Young%26apos;s modulus and Poisson%26apos;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.

• 出版日期2012-7