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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.08184 |
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| _version_ | 1866911756628000768 |
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| author | Rangelov, Tsviatko V. Dineva, Petia S. Manolis, George D. |
| author_facet | Rangelov, Tsviatko V. Dineva, Petia S. Manolis, George D. |
| contents | A dynamic 3D Green's function for the homogeneous, isotropic and viscoelastic (of the Zener type) half-space is derived in a closed form. The results obtained here can be used as either stand-alone solutions for simple problems or in conjunction with a boundary integral equation formulations to account for complex boundary conditions. In the later case, mesh-reducing boundary element formulations can be constructed as an alternative method for numerical implementation purposes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_08184 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Green's function for the viscoelastic and isotropic half-space Rangelov, Tsviatko V. Dineva, Petia S. Manolis, George D. Analysis of PDEs 35Q74, 35J08 A dynamic 3D Green's function for the homogeneous, isotropic and viscoelastic (of the Zener type) half-space is derived in a closed form. The results obtained here can be used as either stand-alone solutions for simple problems or in conjunction with a boundary integral equation formulations to account for complex boundary conditions. In the later case, mesh-reducing boundary element formulations can be constructed as an alternative method for numerical implementation purposes. |
| title | Green's function for the viscoelastic and isotropic half-space |
| topic | Analysis of PDEs 35Q74, 35J08 |
| url | https://arxiv.org/abs/2308.08184 |