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- Publisher Website: 10.1016/j.enganabound.2023.02.009
- Scopus: eid_2-s2.0-85148018351
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Article: Extended Mindlin solution for a point load in transversely isotropic halfspace with depth heterogeneity
| Title | Extended Mindlin solution for a point load in transversely isotropic halfspace with depth heterogeneity |
|---|---|
| Authors | |
| Keywords | Elasticity Fundamental solution Heterogeneous materials Point loads Transverse isotropy |
| Issue Date | 1-May-2023 |
| Publisher | Elsevier |
| Citation | Engineering Analysis with Boundary Elements, 2023, v. 150, p. 219-236 How to Cite? |
| Abstract | This paper extends the Mindlin solution to cover the elastic response of a point load in a transversely isotropic halfspace with a general depth heterogeneity. The transversely isotropic halfspace can have its five elastic material properties exhibiting arbitrary variations in depth and keeping constant in lateral directions. The depth variations of the five material properties are approximated with five n-layered step functions. The extended Mindlin solution is explicitly expressed in the forms of classical inverse Hankel transform integrals. The isolating technique is used to obtain the closed-form expression for the singular terms associated with the improper inverse Hankel transform integral. Singularities of the extended Mindlin solutions are examined analytically and exactly. Numerical results of boundary value problems in transversely isotropic halfspace with specific depth heterogeneities demonstrate that the computation of the extended Mindlin solution can be achieved with high accuracy and efficiency and the material heterogeneity and anisotropy can have significant effects on the elastic fields. |
| Persistent Identifier | http://hdl.handle.net/10722/340134 |
| ISSN | 2023 Impact Factor: 4.2 2023 SCImago Journal Rankings: 0.729 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Xiao, S | - |
| dc.contributor.author | Yue, WV | - |
| dc.contributor.author | Yue, ZQ | - |
| dc.date.accessioned | 2024-03-11T10:41:55Z | - |
| dc.date.available | 2024-03-11T10:41:55Z | - |
| dc.date.issued | 2023-05-01 | - |
| dc.identifier.citation | Engineering Analysis with Boundary Elements, 2023, v. 150, p. 219-236 | - |
| dc.identifier.issn | 0955-7997 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/340134 | - |
| dc.description.abstract | <p>This paper extends the Mindlin solution to cover the <a href="https://www.sciencedirect.com/topics/engineering/elastic-response" title="Learn more about elastic response from ScienceDirect's AI-generated Topic Pages">elastic response</a> of a point load in a transversely isotropic halfspace with a general depth heterogeneity. The transversely isotropic halfspace can have its five elastic material properties exhibiting arbitrary variations in depth and keeping constant in <a href="https://www.sciencedirect.com/topics/engineering/lateral-direction" title="Learn more about lateral directions from ScienceDirect's AI-generated Topic Pages">lateral directions</a>. The depth variations of the five material properties are approximated with five <em>n</em>-layered step functions. The extended Mindlin solution is explicitly expressed in the forms of classical inverse Hankel transform integrals. The isolating technique is used to obtain the closed-form expression for the singular terms associated with the improper inverse Hankel transform integral. <a href="https://www.sciencedirect.com/topics/engineering/singularities" title="Learn more about Singularities from ScienceDirect's AI-generated Topic Pages">Singularities</a> of the extended Mindlin solutions are examined analytically and exactly. Numerical results of <a href="https://www.sciencedirect.com/topics/mathematics/boundary-value-problems" title="Learn more about boundary value problems from ScienceDirect's AI-generated Topic Pages">boundary value problems</a> in transversely isotropic halfspace with specific depth heterogeneities demonstrate that the computation of the extended Mindlin solution can be achieved with high accuracy and efficiency and the material heterogeneity and anisotropy can have significant effects on the elastic fields.<br></p> | - |
| dc.language | eng | - |
| dc.publisher | Elsevier | - |
| dc.relation.ispartof | Engineering Analysis with Boundary Elements | - |
| dc.subject | Elasticity | - |
| dc.subject | Fundamental solution | - |
| dc.subject | Heterogeneous materials | - |
| dc.subject | Point loads | - |
| dc.subject | Transverse isotropy | - |
| dc.title | Extended Mindlin solution for a point load in transversely isotropic halfspace with depth heterogeneity | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.1016/j.enganabound.2023.02.009 | - |
| dc.identifier.scopus | eid_2-s2.0-85148018351 | - |
| dc.identifier.volume | 150 | - |
| dc.identifier.spage | 219 | - |
| dc.identifier.epage | 236 | - |
| dc.identifier.eissn | 1873-197X | - |
| dc.identifier.isi | WOS:000939545700001 | - |
| dc.identifier.issnl | 0955-7997 | - |