Analytical solutions for rheological processes around bores and tunnels
Five analytical solutions are presented for processes of linear viscoelastic, homogeneous, and isotropic solids around freshly opened bores / tunnels in various initial stress fields. The solutions are obtained via a simple and direct realization of Volterra’s principle. This realization is based on...
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| Veröffentlicht in: | Journal of engineering mathematics 2022-10, Vol.136 (1), Article 1 |
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| container_title | Journal of engineering mathematics |
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| creator | Fülöp, Tamás Szücs, Mátyás |
| description | Five analytical solutions are presented for processes of linear viscoelastic, homogeneous, and isotropic solids around freshly opened bores / tunnels in various initial stress fields. The solutions are obtained via a simple and direct realization of Volterra’s principle. This realization is based on an appropriate decomposition of the known solution of the corresponding elastic problem and leads to ordinary differential equations in the time variable in the viscoelastic case. Fairly rich temporal behaviors are revealed. |
| doi_str_mv | 10.1007/s10665-022-10235-6 |
| format | Article |
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| subjects | Applications of Mathematics Computational Mathematics and Numerical Analysis Differential equations Exact solutions Initial stresses Mathematical analysis Mathematical and Computational Engineering Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Rheological properties Stress distribution Theoretical and Applied Mechanics Tunnels Viscoelasticity |
| title | Analytical solutions for rheological processes around bores and tunnels |
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