Now showing items 1-20 of 33

• #### Analysis of a finite element formulation for modelling phase separation ﻿

(Springer, 2007)
The Cahn-Hilliard equation is of importance in materials science and a range of other fields. It represents a diffuse interface model for simulating the evolution of phase separation in solids and fluids, and is a nonlinear ...
• #### 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, ...
• #### Analysis of delamination growth with discontinuous finite elements ﻿

(2001-06)
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 ...
• #### Analysis of delamination growth with discontinuous solid-like shell elements ﻿

(2002)
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 ...
• #### Application of continuum laws in discontinuity analysis based on a regularised displacement discontinuity ﻿

(1999-09)
The application of continuum constitutive laws in embedded strong discontinuity analysis is examined. By adopting a regularised discontinuity (approximating the unbounded strain field resulting from a displacement jump ...
• #### Automated modelling of viscoelastic ﬂow using FEniCS ﻿

(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 $C^0$ discontinuous Galerkin formulation for thin shells ﻿

(2007)
This paper presents a C 0 discontinuous Galerkin formulation for the simulation of thin shells. The method is based on Koiter’s shell model and allows finite element solutions to be obtained by using standard $C^0$ Lagrange ...
• #### A combined experimental-numerical study to cyclic behaviour of limestone ﻿

(2003)
In this paper, a combined experimental-computational study of double-edge notched stone specimen subject to cyclic tensile loading is presented. In the experimental part, the load-deformation response and the local ...
• #### Computational modelling of cracks in viscoplastic media ﻿

(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. ...
• #### Computer code in support of the manuscript "Phase field model for coupled displacive and diffusive microstructural processes under thermal loading" ﻿

(2011)
Supporting material for the article: Maraldi, M., Wells, G. N., and Molari, L. (2011). Phase field model for coupled displacive and diffusive microstructural processes under thermal loading. Journal of the Mechanics and ...
• #### A continuous/discontinuous Galerkin formulation for a strain gradient-dependent damage model ﻿

(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: 2D Results ﻿

(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 ...
• #### 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 ...
• #### Discontinuous Modelling of Crack Propagation in a Gradient-Enhanced Continuum ﻿

(2002-07)
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 ...
• #### Discontinuous modelling of strain localisation and failure ﻿

(2001-06-12)
The computational simulation of failure in solids poses many challenges. A proper understanding of how structures respond under loading, both before and past the peak load, is important for safe and economical constructions. ...
• #### Discrete analysis of localisation in three-dimensional solids ﻿

(2000-09)
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 ...
• #### DOLFIN: Automated finite element computing ﻿

(2009-02-25)
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 ...
• #### DOLFIN: Automated Finite Element Computing ﻿

(2009)
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 ...
• #### Embedded discontinuities for softening solids ﻿

(1999)
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 ...
• #### Formulation of continuous/discontinuous Galerkin methods for strain gradient-dependent damage ﻿

(2005)
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). ...