Computational Cam clay plasticity using second-order cone programming

• DOI: 10.1016/j.cma.2011.11.006
• Publication Date: 2011-11-23T19:07:24Z
• Authors: K. Krabbenhoft; A.V. Lyamin
• Keywords: critical state soil mechanics; plasticity; Cam clay; second-order cone programming; 0211 other engineering and technologies; 02 engineering and technology; 0101 mathematics; optimization; 01 natural sciences; mathematical programming

Abstract A new numerical scheme for critical state elastoplasticity is presented and detailed with special reference to the modified Cam clay model. The scheme is based on an incremental variational formulation whose discrete approximation gives rise to a second-order cone program that is solved using a newly developed algorithm. A number of examples demonstrating the capabilities of the new scheme are given.