Relationship between small and large strain solutions for general cavity expansion problems in elasto-plastic soils. (June 2016)

• Record Type: Journal Article
• Authors: Vrakas, Apostolos
• Is Part Of: Computers and geotechnics. Volume 76(2016)
• Page Start: 147
• Page End: 153
• Publication Date: 2016-06
• Subjects: Cavity expansion -- Deformation -- Hyperbolic function -- Plasticity; Engineering geology -- Data processing -- Periodicals; Soil mechanics -- Data processing -- Periodicals; Rock mechanics -- Data processing -- Periodicals; 624.1510285
• DOI: 10.1016/j.compgeo.2016.03.005
• Languages: English
• ISSNs: 0266-352X

Abstract

Abstract: This paper presents a closed-form relationship between small and finite strain cavity expansion solutions. Its derivation is based on the non-linearly elastic–perfectly plastic cylindrical (or spherical) problem considering a general Mohr's criterion and constant plastic dilatancy. It is shown, however, that it is sufficiently accurate for general expansion problems not obeying plane-strain rotationally (or spherically) symmetric conditions and involving strain-hardening/softening constitutive behaviour. Therefore, this relationship quantifies the error stemming from the computational assumption of small deformations and provides a simple and efficient way of accounting for geometric non-linearity based entirely on conventional computational methods: 'self-correction' of small strain analyses results.