Papanastasiou, Panos; Durban, David Elastoplastic analysis of cylindrical cavity problems in geomaterials. (English) Zbl 0916.73038 Int. J. Numer. Anal. Methods Geomech. 21, No. 2, 133-149 (1997). The authors apply a large strain elastoplastic analysis to the problem on expansion and contraction of cylindrical cavity in an infinite medium. The analysis employs non-associated deformation-type theories for Mohr-Coulomb and Drucker-Prager hardening solids. In particular, these theories are applied to triaxial compression test in order to determine the material parameters of particular materials (like sandstone or shale). Sample numerical results are presented, simulating the hole closure of a thick-walled cylinder under external hydrostatic pressure and the elastoplastic response of an internally presurized cavity. Reviewer: O.Simionescu (Bucureşti) Cited in 5 Documents MSC: 74L10 Soil and rock mechanics 74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) 74C20 Large-strain, rate-dependent theories of plasticity 74C99 Plastic materials, materials of stress-rate and internal-variable type Keywords:Mohr-Coulomb solid; Drucker-Prager solid; infinite medium; triaxial compression test; material parameters; thick-walled cylinder under external hydrostatic pressure; internally presurized cavity PDFBibTeX XMLCite \textit{P. Papanastasiou} and \textit{D. Durban}, Int. J. Numer. Anal. Methods Geomech. 21, No. 2, 133--149 (1997; Zbl 0916.73038) Full Text: DOI References: [1] Carter, Geotechnique 36 pp 349– (1986) [2] Bigoni, Int. J. Mech. Sci. 21 pp 825– (1989) [3] Yu, Geotechnique 41 pp 173– (1991) [4] Detournay, Mech. Rock Eng. 19 pp 99– (1986) [5] Collins, Geotechnique 44 pp 21– (1994) [6] Durban, Int. J. Eng. Sci. 26 pp 939– (1988) · Zbl 0653.73027 [7] Durban, J. appl Mech. 59 pp 20– (1992) · Zbl 0761.73046 [8] Durban, J. appl. Mech. [9] Drucker, Q. Appl. Math. 12 pp 157– (1952) · Zbl 0047.43202 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.