Imperial College London
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DrHuwWoodward

Faculty of Natural Sciences, Centre for Environmental Policy

Research Fellow in Air Pollution Policy
 
 
 
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Contact

 

huw.woodward

 
 
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Location

 

307Weeks BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Woodward:2015:10.1002/nme.4903,
author = {Woodward, WH and Utyuzhnikov, S and Massin, P},
doi = {10.1002/nme.4903},
journal = {International Journal for Numerical Methods in Engineering},
pages = {703--736},
title = {On the application of the method of difference potentials to linear elastic fracture mechanics},
url = {http://dx.doi.org/10.1002/nme.4903},
volume = {103},
year = {2015}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - <jats:title>Summary</jats:title><jats:p>The Difference Potential Method (DPM) proved to be a very efficient tool for solving boundary value problems (BVPs) in the case of complex geometries. It allows BVPs to be reduced to a boundary equation without the knowledge of Green's functions. The method has been successfully used for solving very different problems related to the solution of partial differential equations. However, it has mostly been considered in regular (Lipschitz) domains. In the current paper, for the first time, the method has been applied to a problem of linear elastic fracture mechanics. This problem requires solving BVPs in domains containing cracks. For the first time, DPM technology has been combined with the finite element method. Singular enrichment functions, such as those used within the extended finite element formulations, are introduced into the system in order to improve the approximation of the crack tip singularity. Nearoptimal convergence rates are achieved with the application of these enrichment functions. For the DPM, the reduction of the BVP to a boundary equation is based on generalised surface projections. The projection is fully determined by the clear trace. In the current paper, for the first time, the minimal clear trace for such problems has been numerically realised for a domain with a cut. Copyright © 2015 John Wiley & Sons, Ltd.</jats:p>
AU  - Woodward,WH
AU  - Utyuzhnikov,S
AU  - Massin,P
DO  - 10.1002/nme.4903
EP  - 736
PY  - 2015///
SN  - 0029-5981
SP  - 703
TI  - On the application of the method of difference potentials to linear elastic fracture mechanics
T2  - International Journal for Numerical Methods in Engineering
UR  - http://dx.doi.org/10.1002/nme.4903
VL  - 103
ER  -
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