Numerical methods | Computational Mechanics and Design Group

Formalisation and validation a novel method to design notched components against fatigue

The ultimate aim of this PhD research work is the formalisation and validation of a novel method suitable for designing notched metallic components against proportional/non-proportional constant/variable amplitude multiaxial Fatigue. The above method will take as a starting point the assumption that the plane experiencing the maximum shear strain amplitude is...

MatLab code for 1D dynamic wave propagation with gradient elastic dispersion

The code below is a MatLab script showing an animation of the effects of dispersion in a heterogeneous bar (red line); the wavefront in an homogenous bar (blue line) is shown for comparison. This code is distributed freely for academic use, with the caveat that publications (including Undergraduate, MSc &...

Practical software for masonry arch bridge analysis

By using code and methods developed by CMD researchers, spin-out company LimitState, have produced the LimitState:RING software which idealizes a masonry arch structure as an assemblage of rigid blocks and uses computational limit analysis methods to analyse the collapse state. The software is now widely used by practitioners, and is...

MATLAB script for DLO analysis of geotechnical problems

Discontinuity Layout Optimization (DLO) is a recently developed numerical limit analysis procedure, which can be programmed relatively easily. Here the demonstration MATLAB script for geotechnical problems using DLO presented at NUMGE conference, Norway, 2010 is provided. Sample output Example 1 - undrained retaining wall dlo(9, 6, 0, 0, 2, 5,...

Practical geotechnical analysis & design software

Discontinuity Layout Optimization is a recently developed computational limit analysis procedure which provides visually clear failure mechanisms and accurate predictions of the associated margin of safety. At the heart of the DLO procedure is a simple yet robust and highly efficient algorithm that can identify the critical failure mechanism from...

Theory of critical distance and gradient mechanics

This project aims to develop novel finite element software based on the combined use of the Theory of Critical Distance (TCD) and Gradient Mechanics suitable for performing the static and high-cycle fatigue assessment of notched/cracked components subjected to in-service complex systems of forces. Even though they are designed to address...

Project deep carbon: verification and governance of environmental carbon sequestration

Carbon dioxide storage in deep geological formations is part of a technological approach for mitigating greenhouse gas emissions while maintaining the security and stability of the world’s energy systems. Subsurface storage is the final element to the Carbon Capture and Storage (CCS) chain, where the major issues are in understanding...

Dynamic constraint modelling

In this project, we develop new penalty methods for use in fast transient dynamic problems, simulated with time-domain integrators. A problem that has plagued the community for many decades is that the usual stiffness-type penalties tend to decrease the critical time step of conditionally stable time integrators such as the...