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Jonathan Trevelyan's Outputs (21)

An extended boundary element method formulation for the direct calculation of the stress intensity factors in fully anisotropic materials (2016)
Journal Article
Hattori, G., Alatawi, I., & Trevelyan, J. (2017). An extended boundary element method formulation for the direct calculation of the stress intensity factors in fully anisotropic materials. International Journal for Numerical Methods in Engineering, 109(7), 965-981. https://doi.org/10.1002/nme.5311

We propose a formulation for linear elastic fracture mechanics (LEFM) in which the stress intensity factors (SIF) are found directly from the solution vector of an extended boundary element method (XBEM) formulation. The enrichment is embedded in the... Read More about An extended boundary element method formulation for the direct calculation of the stress intensity factors in fully anisotropic materials.

Numerical simulation of fracking in shale rocks: current state and future approaches (2016)
Journal Article
Hattori, G., Trevelyan, J., Augarde, C., Coombs, W., & Aplin, A. (2017). Numerical simulation of fracking in shale rocks: current state and future approaches. Archives of Computational Methods in Engineering, 24(2), 281-317. https://doi.org/10.1007/s11831-016-9169-0

Extracting gas from shale rocks is one of the current engineering challenges but offers the prospect of cheap gas. Part of the development of an effective engineering solution for shale gas extraction in the future will be the availability of reliabl... Read More about Numerical simulation of fracking in shale rocks: current state and future approaches.

Interactive three-dimensional boundary element stress analysis of components in aircraft structures (2015)
Journal Article
Foster, T., Mohamed, M., Trevelyan, J., Coates, G., Spence, S., & Walker, S. (2015). Interactive three-dimensional boundary element stress analysis of components in aircraft structures. Engineering Analysis with Boundary Elements, 56, 190-200. https://doi.org/10.1016/j.enganabound.2015.01.017

Computer aided design of mechanical components is an iterative process that often involves multiple stress analysis runs; this can be time consuming and expensive. Significant efficiency improvements can be made by increasing interactivity at the con... Read More about Interactive three-dimensional boundary element stress analysis of components in aircraft structures.

A direct SIF approach for anisotropic materials using the boundary element method (2015)
Presentation / Conference Contribution
Hattori, G., Alatawi, I., & Trevelyan, J. (2015, April). A direct SIF approach for anisotropic materials using the boundary element method. Presented at ACME 2015., Swansea, Wales

Recently developments in numerical methods such as the Extended Finite Element Method (X-FEM) and the Extended Boundary Element Method (X-BEM) have significantly improved the accuracy in linear elastic fracture mechanics (LEFM) problems. Nevertheless... Read More about A direct SIF approach for anisotropic materials using the boundary element method.

Extended isogeometric boundary element method (XIBEM) for three-dimensional medium-wave acoustic scattering problems (2015)
Journal Article
Peake, M., Trevelyan, J., & Coates, G. (2015). Extended isogeometric boundary element method (XIBEM) for three-dimensional medium-wave acoustic scattering problems. Computer Methods in Applied Mechanics and Engineering, 284, 762-780. https://doi.org/10.1016/j.cma.2014.10.039

A boundary element method (BEM), based on non-uniform rational B-splines (NURBS), is used to find solutions to three-dimensional wave scattering problems governed by the Helmholtz equation. The method is extended in a partition-of-unity sense, multip... Read More about Extended isogeometric boundary element method (XIBEM) for three-dimensional medium-wave acoustic scattering problems.

Enriched BEM for fracture in anisotropic materials (2014)
Presentation / Conference Contribution
Hattori, G., Sáez, A., Trevelyan, J., & García-Sánchez, F. (2014, July). Enriched BEM for fracture in anisotropic materials. Presented at International Conference on Boundary Element and Meshless Techniques XV, Florence, Italy

Dynamically-controlled variable-fidelity modelling for aircraft structural design optimisation (2014)
Journal Article
Allen, J., Coates, G., & Trevelyan, J. (2014). Dynamically-controlled variable-fidelity modelling for aircraft structural design optimisation. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 228(8), 1434-1449. https://doi.org/10.1177/0954410013493074

Structural mass optimisation of an aircraft design is important in increasing the likelihood that a high quality airframe is designed of minimal weight whilst providing necessary resistance to load. Analysis of such structures is often performed at a... Read More about Dynamically-controlled variable-fidelity modelling for aircraft structural design optimisation.

The equal spacing of N points on a sphere with application to partition-of-unity wave diffraction problems (2014)
Journal Article
Peake, M., Trevelyan, J., & Coates, G. (2014). The equal spacing of N points on a sphere with application to partition-of-unity wave diffraction problems. Engineering Analysis with Boundary Elements, 40, 114-122. https://doi.org/10.1016/j.enganabound.2013.11.020

This paper addresses applications involving the selection of a set of points on a sphere, in which the uniformity of spacing can be of importance in enhancing the computational performance and/or the accuracy of some simulation. For the authors, the... Read More about The equal spacing of N points on a sphere with application to partition-of-unity wave diffraction problems.

A comparison of techniques for overcoming non-uniqueness of boundary integral equations for the collocation partition of unity method in two dimensional acoustic scattering (2013)
Journal Article
Diwan, G., Trevelyan, J., & Coates, G. (2013). A comparison of techniques for overcoming non-uniqueness of boundary integral equations for the collocation partition of unity method in two dimensional acoustic scattering. International Journal for Numerical Methods in Engineering, 96(10), 645-664. https://doi.org/10.1002/nme.4583

The Partition of Unity Method has become an attractive approach for extending the allowable frequency range for wave simulations beyond that available using piecewise polynomial elements. The non-uniqueness of solution obtained from the conventional... Read More about A comparison of techniques for overcoming non-uniqueness of boundary integral equations for the collocation partition of unity method in two dimensional acoustic scattering.

A hyper-heuristic approach to aircraft structural design optimization (2013)
Journal Article
Allen, J., Coates, G., & Trevelyan, J. (2013). A hyper-heuristic approach to aircraft structural design optimization. Structural and Multidisciplinary Optimization, 48(4), 807-819. https://doi.org/10.1007/s00158-013-0928-3

The conceptual design of an aircraft is a challenging problem in which optimization can be of great importance to the quality of design generated. Mass optimization of the structural design of an aircraft aims to produce an airframe of minimal mass w... Read More about A hyper-heuristic approach to aircraft structural design optimization.

Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems (2013)
Journal Article
Peake, M., Trevelyan, J., & Coates, G. (2013). Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems. Computer Methods in Applied Mechanics and Engineering, 259, 93-102. https://doi.org/10.1016/j.cma.2013.03.016

Isogeometric analysis is a topic of considerable interest in the field of numerical analysis. The boundary element method (BEM) requires only the bounding surface of geometries to be described; this makes non-uniform rational B-splines (NURBS), which... Read More about Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems.

Hyper-Heuristic Structural Optimisation of Conceptual Aircraft Designs (2012)
Presentation / Conference Contribution
Allen, J., Coates, G., & Trevelyan, J. (2012, December). Hyper-Heuristic Structural Optimisation of Conceptual Aircraft Designs. Presented at 14th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Indianapolis, IN, USA

Novel basis functions for the partition of unity boundary element method for Helmholtz problems (2012)
Journal Article
Peake, M., Trevelyan, J., & Coates, G. (2012). Novel basis functions for the partition of unity boundary element method for Helmholtz problems. International Journal for Numerical Methods in Engineering, 93(9), 905-918. https://doi.org/10.1002/nme.4411

The BEM is a popular technique for wave scattering problems given its inherent ability to deal with infinite domains. In the last decade, the partition of unity BEM, in which the approximation space is enriched with a linear combination of plane wave... Read More about Novel basis functions for the partition of unity boundary element method for Helmholtz problems.

Rapid re-meshing and re-solution of three-dimensional boundary element problems for interactive stress analysis (2012)
Journal Article
Foster, T., Mohamed, M., Trevelyan, J., & Coates, G. (2012). Rapid re-meshing and re-solution of three-dimensional boundary element problems for interactive stress analysis. Engineering Analysis with Boundary Elements, 36(9), 1331-1343. https://doi.org/10.1016/j.enganabound.2012.02.020

Structural design of mechanical components is an iterative process that involves multiple stress analysis runs; this can be time consuming and expensive. It is becoming increasingly possible to make significant improvements in the efficiency of this... Read More about Rapid re-meshing and re-solution of three-dimensional boundary element problems for interactive stress analysis.

On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering: the 2D case (2010)
Journal Article
Trevelyan, J., & Coates, G. (2010). On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering: the 2D case. Computer Modeling in Engineering & Sciences, 55(2), 147-170. https://doi.org/10.3970/cmes.2010.055.147

The terminology "wave boundary elements" relates to boundary elements enriched in the Partition of Unity sense by a multiple plane wave basis for the analysis of the propagation of short wavelength waves. This paper presents a variant of this approac... Read More about On adaptive definition of the plane wave basis for wave boundary elements in acoustic scattering: the 2D case.