Effective Young's modulus for a spatially variable soil mass subjected to a simple stress state
| Autor: | Xuan-Wen Tong, Jianye Ching, Yu-Gang Hu |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Bulk modulus
Specific modulus Mathematical analysis 0211 other engineering and technologies Aggregate modulus Modulus 020101 civil engineering Geology Young's modulus 02 engineering and technology Building and Construction Geotechnical Engineering and Engineering Geology 0201 civil engineering symbols.namesake Tangent modulus symbols Safety Risk Reliability and Quality Elastic modulus 021101 geological & geomatics engineering Civil and Structural Engineering Mathematics Plane stress |
| Zdroj: | Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards. 10:11-26 |
| ISSN: | 1749-9526 1749-9518 |
| DOI: | 10.1080/17499518.2015.1084426 |
| Popis: | The effect of spatial variability on the effective Young's modulus of a soil mass is investigated. The soil mass is a two-dimensional plane strain square domain subjected to a simple stress state, with Young's modulus being modelled as a stationary lognormal random field. The effective Young's modulus is simulated by random field finite-element analysis. It is found that under the condition of horizontal scale of fluctuation (SOF) = vertical SOF, the effective Young's modulus can be satisfactorily approximated as the geometric average over the square domain. However, the conclusion changes dramatically when the spatial variability is highly anisotropic, e.g. horizontal scale SOF≫ vertical SOF. In this case, the effective Young's modulus can be approximated as the arithmetic average or harmonic average, depending on the direction of loading. A unified spatial averaging model is further proposed in this study. It is shown that the effective Young's modulus can be satisfactorily approximated by this ... |
| Databáze: | OpenAIRE |
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