A robust numerical framework for simulating localized failure and fracture propagation in frictional materials

• Published in: Acta geotechnica 2017-04, Vol.12 (2), p.253-275
• Main Authors: Weed, D. A., Foster, C. D., Motamedi, M. H.
• Format: Article
• Language: English
• Subjects: Complex Fluids and Microfluidics; Computer simulation; Constitutive relationships; Engineering; Failure; Finite element analysis; Foundations; Fracture mechanics; Friction; Geoengineering; Geomaterials; Geotechnical Engineering & Applied Earth Sciences; Hydraulics; Mathematical models; Propagation; Research Paper; Robustness (mathematics); Rock deformation; Soft and Granular Matter; Soil Science & Conservation; Solid Mechanics; Tracking
• ISSN: 1861-1125; 1861-1133
• DOI: 10.1007/s11440-016-0474-4

A computationally robust framework for simulating geomaterial failure patterns is presented in this paper. Finite element simulations which feature the use of embedded discontinuities to track material failure are known to suffer from convergence issues due to a lack of robustness. Oftentimes, complex time step-cutting schemes or arc-length methods are required in order to achieve convergence. This may invariably limit the complexity of constitutive models available for use in tracking nonlinear material behavior. To this end, we use an implicit–explicit integration scheme [Impl–Ex (Oliver et al. in Comput Methods Appl Mech Eng 195(52):7093–7114, 2006 )] coupled with a novel constitutive model which allows for combined opening and shearing displacement in tension, as well as frictional sliding in compression. We show that this framework is suitable for capturing complex fracture patterns in geomaterial structures without the need for elaborate continuance schemes.