An analytical solution for axisymmetric tunnel problems in elasto‐viscoplastic media
- 7 July 1984
- journal article
- research article
- Published by Wiley in International Journal for Numerical and Analytical Methods in Geomechanics
- Vol. 8 (4) , 325-342
- https://doi.org/10.1002/nag.1610080403
Abstract
An analytical solution is presented for the time‐dependent stresses and displacements in plane strain around a circular hole when it is loaded by an axisymmetric internal and far‐field pressure. The material is assumed to be elasto‐viscoplastic with dilatant plastic deformations according to a non‐associated flow rule. Strain softening is considered by a modified St. Venant slider which is characterized by Mohr‐Coulomb yield conditions for both the peak and the residual strengths.Keywords
This publication has 7 references indexed in Scilit:
- A time-independent analysis for the final state of an elasto-visco-plastic medium with internal cavitiesInternational Journal of Solids and Structures, 1981
- Axisymmetric compression of a Mohr–Coulomb medium around a circular holeInternational Journal for Numerical and Analytical Methods in Geomechanics, 1978
- An elasto-visco-plastic analysis for spherically and cylindrically symmetric problemsArchive of Applied Mechanics, 1978
- Analyse de la stabilité d'un tunnel creusé dans un massif rocheux en tenant compte du comportement après la ruptureRock Mechanics and Rock Engineering, 1976
- Deformationsmessungen im Versuchsstollen als Mittel zur Erforschung des Gebirgsverhaltens und zur Bemessung des AusbauesPublished by Springer Nature ,1964
- Neue Anschauungen über den Spannungs- und Formänderungszustand im Gebirge in der Nachbarschaft bergmännischer HohlräumePublished by Walter de Gruyter GmbH ,1958
- Über Einige Statisch Bestimmte Fälle Des Gleichgewichts In Plastischen KörpernZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1923