Anti-plane shear of a tunnel in an elastic half-space under surface loading: analytic algorithm and approximate explicit solution
DOI10.1007/S00033-022-01676-1zbMath1482.74116OpenAlexW4206993982MaRDI QIDQ2073449
Publication date: 2 February 2022
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-022-01676-1
conformal mappingsuperposition principlesurface loadingstress field, stress concentrationunderground tunnel model
Classical linear elasticity (74B05) Stress concentrations, singularities in solid mechanics (74G70) Soil and rock mechanics (74L10) Complex-variable methods applied to problems in solid mechanics (74S70)
Cites Work
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- Analytical stress and displacement around non-circular tunnels in semi-infinite ground
- Impact of surface stress on stress concentration
- Analytical Solution for Size-Dependent Elastic Field of a Nanoscale Circular Inhomogeneity
- A General Treatment of the Elastic Field of an Elliptical Inhomogeneity Under Antiplane Shear
- Analytical solutions of a spherical nanoinhomogeneity under far-field unidirectional loading based on Steigmann–Ogden surface model
- Influence of surface effect of the edge of a half-plane on the stress concentration around a nearby nanosized hole of arbitrary shape
- Eshelby formalism for nano-inhomogeneities
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