A stress integration algorithm for granular materials based on fully implicit integration with explicit updating is presented. In the implicit method the solution makes use of the gradient to the potential surface at the final stress state which is unknown. The final stress and hardening parameters
On implicit integration of bounding surface plasticity models
β Scribed by M.T. Manzari; M.A. Nour
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 843 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0045-7949
No coin nor oath required. For personal study only.
β¦ Synopsis
The bounding surface plasticity has become one of the most widely used frameworks of plasticity for modeling constitutive behavior of metals and soils, especially in cyclic loading. Due to special ingredients of the bounding surface plasticity, application of new integration techniques, generally devised for classical plasticity models, requires certain modifications. This paper describes the details of such modifications which are derived directly from the main equations underlying the bounding surface concept. Specifically the equation of flow rule is modified and a differential equation is derived to represent the evolution of a key factor, i.e. the ratio between the image stress and the current stress quantities. An implicit integration method is then used to integrate the full set of rate equations. Numerical simulations demonstrate the accuracy and efficiency of the proposed integration procedure in an application to a simple bounc!ing surface version of the modified Cam clay model.
π SIMILAR VOLUMES
This paper describes a fully implicit stress-point integration algorithm for a class of anisotropic bounding surface plasticity models with ellipsoidal loading function. The plasticity model is coupled with a nonlinear hyperelastic model to ensure that the elastic component of the combined model is