Low-order mixed finite element analysis of progressive failure in pressure-dependent materials within the framework of the Cosserat continuum. Issue 2 (18th April 2017)

• Record Type: Journal Article
• Authors: Tang, Hongxiang; Guan, Yuhui; Zhang, Xue; Zou, Degao
• Is Part Of: Engineering computations. Volume 34:Issue 2(2017)
• Page Start: 251
• Page End: 271
• Publication Date: 2017-04-18
• Subjects: Strain-softening -- Low-order finite element -- Mixed finite element analysis -- Non-associated plasticity -- Progressive failure; Computer-aided engineering -- Periodicals; Computer graphics -- Periodicals; 620.00285
• DOI: 10.1108/EC-11-2015-0370
• Languages: English
• ISSNs: 0264-4401

Abstract

Abstract : Purpose: This paper aims to develop a finite element analysis strategy, which is suitable for the analysis of progressive failure that occurs in pressure-dependent materials in practical engineering problems. Design/methodology/approach: The numerical difficulties stemming from the strain-softening behaviour of the frictional material, which is represented by a non-associated Drucker–Prager material model, is tackled using the Cosserat continuum theory, while the mixed finite element formulation based on Hu–Washizu variational principle is adopted to allow the utilization of low-order finite elements. Findings: The effectiveness and robustness of the low-order finite element are verified, and the simulation for a real-world landslide which occurred at the upstream side of Carsington embankment in Derbyshire reconfirms the advantages of the developed elastoplastic Cosserat continuum scheme in capturing the entire progressive failure process when the strain-softening and the non-associated plastic law are involved. Originality/value: The permit of using low-order finite elements is of great importance to enhance computational efficiency for analysing large-scale engineering problems. The case study reconfirms the advantages of the developed elastoplastic Cosserat continuum scheme in capturing the entire progressive failure process when the strain-softening and the non-associated plastic law are involved.