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DOLFIN: Automated finite element computing
(ACM Transactions on Mathematical Software, 2010)
We describe here a library aimed at automating the solution of partial differential equations using the finite element method. By employing novel techniques for automated code generation, the library combines a high level ...
Analysis of delamination growth with discontinuous solid-like shell elements
(International Journal of Numerical Methods in Heat and Fluid FlowInternational Journal of Numerical Methods in Heat and Fluid Flow, 2004)
Delamination is one of the most important failure mechanisms in laminates. Normally, it is modelled using interface elements. These elements are placed between two layers that are modelled with continuum elements. The ...
Strong embedded discontinuities for simulating fracture in quasi-brittle materials
(Fracture Mechanics of Concrete StructuresFracture Mechanics of Concrete Structures, 2001)
In this paper embedded strong discontinuities are used to model discrete cracking in materials like concrete. In the approach followed a discontinuous displacement field is considered and the deformation is localized at a ...
Time scale in concrete fracture: a model based on partitions of unity
(Proceedings of the 4th International Conference on Fracture Mechanics of Concrete Structures (FRAMCOS4)Proceedings of the 4th International Conference on Fracture Mechanics of Concrete Structures (FRAMCOS4), 2001)
Intense research efforts have been put in the formulation of theories for crack initiation and propagation in concrete. Yet, little attention has been paid to the time-dependence of fracture, despite evidence of its ...
A p-adaptive scheme for overcoming volumetric locking during isochoric plastic deformation
(Solids, Structures and Coupled Problems in Engineering : ECCM-2001: 2nd European Conference on Computational MechanicsSolids, Structures and Coupled Problems in Engineering : ECCM-2001: 2nd European Conference on Computational Mechanics, 2001)
A p-adaptive scheme is developed in order to overcome volumetric locking in low order finite elements. A special adaptive scheme is used which is based on the partition of unity concept. This allows higher order polynomial ...
Multi-level analysis of localisation problems
(2001)
Localisation processes, such as shear banding and necking, have been investigated following a macroscopic and a microscopic approach. Both approaches have been formulated within a finite deformation plasticity framework. ...
Computational modelling of cracks in viscoplastic media
(Proceedings of the 10th International Conference on FractureProceedings of the 10th International Conference on Fracture, 2001)
A newly developed numerical model is used to simulate propagating cracks in a strain softening viscoplastic medium. The model allows the simulation of displacement discontinuities independently of a finite element mesh. ...
Embedded discontinuities for softening solids
(Proceedings of the 4th Asia-Pacific Conference on Computational Mechanics (APCOM '99)Proceedings of the 4th Asia-Pacific Conference on Computational Mechanics (APCOM '99), 1999-12-06)
Additional, discontinuous functions are added to the displacement field of standard finite elements in order to capture highly localised zones of intense straining. By embedding discontinuities within an element it is ...
Discrete analysis of localisation in three-dimensional solids
(Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS'00)Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS'00), 2000)
A procedure is illustrated for the determination of the normal direction of a discontinuity plane within a solid finite element. Using so-called embedded discontinuities, discrete constitutive models can be applied within ...
Analysis of an interface stabilised finite element method: The advection-diffusion-reaction equation
(2009-10-29)
Analysis of an interface stabilised finite element method for the scalar advection-diffusion-reaction equation is presented. The method inherits attractive properties of both continuous and discontinuous Galerkin methods, ...