Abstract
Hypoplastic constitutive equation based on nonlinear tensor functions possesses a failure surface but no yield surface. In this paper, we consider the numerical integration and FE implementation of a simple hypoplastic constitutive equation. The accuracy of several integration methods, including implicit and explicit methods, is examined by performing a set of triaxial compression tests. Adaptive explicit schemes show the best performance. In addition, the stress drift away from the failure surface is corrected with a predictor-corrector scheme, which is verified by two boundary value problems, i.e. rigid footing tests and slope stability.
Highlights
Hypoplasticity represents a class of incrementally nonlinear constitutive models [9, 11, 16, 17, 28, 42]
We study the influence of stress correction on the stress–strain relation in drained and undrained triaxial tests, together with an analysis of the stress drift from the failure surface
This paper presents the numerical implementation of a simple hypoplastic constitutive model using finite element method
Summary
Hypoplasticity represents a class of incrementally nonlinear constitutive models [9, 11, 16, 17, 28, 42]. While the aforementioned integration schemes perform well prior to reaching the failure surface, none of properly handle the stress drift away from the failure surface. Hypoplastic model allows some stress state outside the failure surface [40]. The error resulted from stress drift away from the failure surface can accumulate in numerical computations and eventually lead to unphysical behaviour [3, 22] and the loss of stability for a boundary value problem. It makes sense not to allow stress to wander outside the failure surface. The significance of the stress correction at the failure surface is shown by two boundary value problems
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