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- Publisher Website: 10.1016/j.compgeo.2022.105226
- Scopus: eid_2-s2.0-85145775521
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Article: Axisymmetric elastic field in layered non-homogeneous and transversely isotropic geo-materials due to surface traction
| Title | Axisymmetric elastic field in layered non-homogeneous and transversely isotropic geo-materials due to surface traction |
|---|---|
| Authors | |
| Keywords | Closed-form solution Elasticity Layered and non-homogeneous geo-materials Surface traction Transverse isotropy |
| Issue Date | 1-Mar-2023 |
| Publisher | Elsevier |
| Citation | Computers and Geotechnics, 2023, v. 155 How to Cite? |
| Abstract | This paper examines the axisymmetric problem of layered and non-homogeneous geo-material halfspaces with transverse isotropy. The halfspace is subjected to normal traction over a circular area of the boundary surface. A n-layered halfspace system approximates the arbitrary variation of the elastic parameters of non-homogeneous geo-materials with depth. The two-dimensional Fourier integral transforms in the cylindrical coordinate system and the backward transfer matrix method are used for the mathematical formulation and derivation. The solutions of the displacement, stress and strain fields are explicitly expressed in the matrix form in terms of classical improper Hankel transform integrals. The kernel functions of the Hankel transform integrals are explicitly expressed in the forms of backward transfer matrix. The singular terms associated with the improper Hankel transform integrals are analytically isolated and expressed in the exact closed-form. Numerical results indicate that there is no problem in the evaluation of the solutions of non-homogeneous halfspaces with arbitrarily variable elastic parameters and the inhomogeneity and transverse isotropy of layered geo-materials have significant effect on the elastic fields. |
| Persistent Identifier | http://hdl.handle.net/10722/340790 |
| ISSN | 2021 Impact Factor: 5.218 2020 SCImago Journal Rankings: 1.970 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Xiao, S | - |
| dc.contributor.author | Du, XL | - |
| dc.contributor.author | Yue, ZQ | - |
| dc.date.accessioned | 2024-03-11T10:47:08Z | - |
| dc.date.available | 2024-03-11T10:47:08Z | - |
| dc.date.issued | 2023-03-01 | - |
| dc.identifier.citation | Computers and Geotechnics, 2023, v. 155 | - |
| dc.identifier.issn | 0266-352X | - |
| dc.identifier.uri | http://hdl.handle.net/10722/340790 | - |
| dc.description.abstract | <p>This paper examines the <a href="https://www.sciencedirect.com/topics/engineering/axisymmetric-problem" title="Learn more about axisymmetric problem from ScienceDirect's AI-generated Topic Pages">axisymmetric problem</a> of layered and non-homogeneous geo-material halfspaces with transverse <a href="https://www.sciencedirect.com/topics/engineering/isotropy" title="Learn more about isotropy from ScienceDirect's AI-generated Topic Pages">isotropy</a>. The halfspace is subjected to normal traction over a circular area of the boundary surface. A <em>n</em>-layered halfspace system approximates the arbitrary variation of the elastic parameters of non-homogeneous geo-materials with depth. The two-dimensional Fourier integral transforms in the cylindrical coordinate system and the backward transfer matrix method are used for the mathematical formulation and derivation. The solutions of the displacement, stress and strain fields are explicitly expressed in the matrix form in terms of classical improper Hankel transform integrals. The <a href="https://www.sciencedirect.com/topics/computer-science/kernel-function" title="Learn more about kernel functions from ScienceDirect's AI-generated Topic Pages">kernel functions</a> of the Hankel transform integrals are explicitly expressed in the forms of backward transfer matrix. The singular terms associated with the improper Hankel transform integrals are analytically isolated and expressed in the exact closed-form. Numerical results indicate that there is no problem in the evaluation of the solutions of non-homogeneous halfspaces with arbitrarily <a href="https://www.sciencedirect.com/topics/engineering/elastic-variable" title="Learn more about variable elastic from ScienceDirect's AI-generated Topic Pages">variable elastic</a> parameters and the inhomogeneity and transverse <a href="https://www.sciencedirect.com/topics/engineering/isotropy" title="Learn more about isotropy from ScienceDirect's AI-generated Topic Pages">isotropy</a> of layered geo-materials have significant effect on the elastic fields.<br></p> | - |
| dc.language | eng | - |
| dc.publisher | Elsevier | - |
| dc.relation.ispartof | Computers and Geotechnics | - |
| dc.subject | Closed-form solution | - |
| dc.subject | Elasticity | - |
| dc.subject | Layered and non-homogeneous geo-materials | - |
| dc.subject | Surface traction | - |
| dc.subject | Transverse isotropy | - |
| dc.title | Axisymmetric elastic field in layered non-homogeneous and transversely isotropic geo-materials due to surface traction | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.1016/j.compgeo.2022.105226 | - |
| dc.identifier.scopus | eid_2-s2.0-85145775521 | - |
| dc.identifier.volume | 155 | - |
| dc.identifier.eissn | 1873-7633 | - |
| dc.identifier.issnl | 0266-352X | - |