We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham Research Online
You are in:

Algorithmic issues for three-invariant hyperplastic critical state models.

Coombs, W.M. and Crouch, R.S. (2011) 'Algorithmic issues for three-invariant hyperplastic critical state models.', Computer methods in applied mechanics and engineering., 200 (25-28). pp. 2297-2318.


Implicit stress integration and the consistent tangents are presented for Critical State hyperplasticity models which include a dependence on the third invariant of stress. An elliptical deviatoric yielding criterion is incorporated within the family of geotechnical models first proposed by Collins and Hilder. An alternative expression for the yield function is proposed and the consequences of different forms of that function are revealed in terms of the stability and efficiency of the stress return algorithm. Errors associated with the integration scheme are presented. It is shown how calibration of the two new material constants is achieved through examining one-dimesional consolidation tests and undrained triaxial compression data. Material point simulations of drained triaxial compression tests are then compared with established experimental results. Strain probe analyses are used to demonstrate the concepts of energy dissipation and stored plastic work along with the robustness of the integration method. Over twenty finite element boundary value problems are then simulated. These include single three-dimensional element tests, plane strain footing analyses and cavity expansion tests. The rapid convergence of the global Newton–Raphson procedure using the consistent tangent is demonstrated in small strain and finite deformation simulations.

Item Type:Article
Keywords:Backward Euler stress integration, Hyperplasticity, Consistent tangent, Finite deformation mechanics, Geomaterials.
Full text:(AM) Accepted Manuscript
Download PDF
Publisher Web site:
Publisher statement:NOTICE: this is the author’s version of a work that was accepted for publication in Computer methods in applied mechanics and engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer methods in applied mechanics and engineering, 200, 25-28, 2011, 10.1016/j.cma.2011.03.019
Date accepted:No date available
Date deposited:16 August 2012
Date of first online publication:2011
Date first made open access:No date available

Save or Share this output

Look up in GoogleScholar