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Simulating discontinuities in a gradient-enhanced continuum
(Proceedings of the International Conference on Structural Integrity and FractureProceedings of the International Conference on Structural Integrity and Fracture, 2002)
A continuum-discrete model for failure in quasi-brittle materials is presented. The continuum is regularised through the introduction of gradient terms into the constitutive model. At the transition to discrete failure, ...
Analysis of delamination growth with discontinuous finite elements
(Solids, Structures and Coupled Problems in EngineeringSolids, Structures and Coupled Problems in Engineering, 2001)
In this contribution a new finite element is presented for the simulation of delamination growth in thin layered composite materials. The element is based on the solid-like shell element, a volume element that can be used ...
Discontinuous modelling of crack propagation in a gradient-enhanced continuum
(2002)
A numerical model for the description of the combined continuous/discontinuous failure in a regularised strain-softening continuum is proposed. The continuum is regularised through the introduction of gradient terms into ...
Discontinuities in regularised media
(2003)
Discontinuous interpolation of the problem fields in non-local and rate-dependent media is considered. The necessity of discontinuities in the analysis of failure processes and some of the requirements for the introduction ...
Formulation of continuous/discontinuous Galerkin methods for strain gradient-dependent damage
(Strength Fracture and ComplexityStrength Fracture and Complexity, 2006)
Continuum damage models are widely used to represent the development of microscopic defects that coalesce into a macroscopic crack. The microscopic defects cause a progressive weakening or softening of the material (damage). ...
A continuous/discontinuous Galerkin formulation for a strain gradient-dependent damage model: 2D results
(Proceedings of the 6th World Congress on Computational Mechanics in Conjunction with theputational Mechanics 2nd Asian-Pacific Congress on Computational MechanicsProceedings of the 6th World Congress on Computational Mechanics in Conjunction with theputational Mechanics 2nd Asian-Pacific Congress on Computational Mechanics, 2004)
The numerical solution of strain gradient-dependent continuum problems has been hindered by continuity demands on the basis functions. The presence of terms in constitutive models which involve gradients of the strain eld ...
A continuous/discontinuous Galerkin formulation for a strain gradient-dependent damage model
(4th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS)4th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS), 2004)
The numerical solution of strain gradient-dependent continuum problems has been hindered by continuity demands on the basis functions. The presence of terms in constitutive models that involve gradients of the strain field ...
Automated modelling of viscoelastic flow using FEniCS
(XVI Convegno Italiano di Meccanica ComputazionaleXVI Convegno Italiano di Meccanica Computazionale, 2006)
Using high-level abstractions, it is possible to efficiently automate the development of finite element models. This has advantages in terms of rapid development, a dramatic reduction in programming errors and offers the ...
A study of discontinuous Galerkin methods for thin bending problems
(Computational Mechanics: Solids Structures and Coupled ProblemsComputational Mechanics: Solids Structures and Coupled Problems, 2006)
Various continuous/discontinuous Galerkin formulations are examined for the analysis of thin plates. These methods rely on weak imposition of continuity of the normal slope across element boundaries. We draw here upon ...
A novel technique for modelling interfaces in reinforced brittle materials
(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)
A novel numerical technique for the modelling of interfaces is introduced for the analysis of reinforced brittle materials. The method exploits the partition of unity property of finite element shape functions. By considering ...