Publications
306 results found
Atkinson C, Monmont F, Zazovsky AF, 2004, Flow performance of horizontal wells with Inflow Control Devices, EUROPEAN JOURNAL OF APPLIED MATHEMATICS, Vol: 15, Pages: 409-450, ISSN: 0956-7925
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- Citations: 11
Atkinson C, Mokkavesa S, 2004, Multiasset portfolio optimisation with transaction costs, Applied Mathematical Finance, Pages: 95-123
de Lara MM, Atkinson C, 2004, Theoretical model on the interaction of a vibrating beam and the surrounding viscous fluid with applications to density and viscosity sensors, IEEE Sensors 2004 Conference, Publisher: IEEE, Pages: 828-831, ISSN: 1930-0395
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- Citations: 2
Atkinson C, Tsibiridi C, 2004, A possible way of estimating options with stable distributed underlying asset prices, Applied Mathematical Finance, Vol: 11, Pages: 51-75
Atkinson C, Mokkhavesa S, 2003, Intertemporal portfolio optimization with small transaction costs and stochastic variance, Applied Mathematical Finance, Vol: 10, Pages: 267-302, ISSN: 1350-486X
The solution to the intertemporal optimal portfolio selection and consumption rule with small transaction costs is derived via the use of perturbation analysis for the two assets portfolio, one risky and one riskfree. This methodology allows us to apply a broader specification for the function of utility. The additional feature of stochastic variance is also included.
Atkinson C, Mokkavesa S, 2003, Towards the determination of utility functions from optimal portfolio selections, Applied Mathematical Finance, Pages: 1-26
Atkinson C, Mokkavesa S, 2003, Intertemporal portfolio optimisation with small transaction costs and stochastic variance, Applied Mathematical Finance, Pages: 1-36
Aparicio ND, Atkinson C, 2002, An inverse boundary problem for the steady-diffusion equation with moving boundaries with applications to the pearlite-austenite transformation in steel, INVERSE PROBLEMS, Vol: 18, Pages: 1013-1023, ISSN: 0266-5611
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- Citations: 5
Atkinson C, Eftaxiopoulos DA, 2002, Numerical and analytical solutions for the problem of hydraulic fracturing from a cased and cemented wellbore, INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, Vol: 39, Pages: 1621-1650, ISSN: 0020-7683
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- Citations: 15
Atkinson C, Bradford I, 2002, Effect of inhomogeneous rock properties on the stability of wellbores, IUTAM Symposium on Analytical and Computational Fracture Mechanics of Non-Homogeneous Materials, Publisher: SPRINGER, Pages: 95-104
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- Citations: 2
Atkinson C, 2002, Perturbation solution of optimal portfolio theory with transaction costs for any utility function, IMA Jnl of Management Mathematics, Pages: 131-151
Atkinson C, Blanco C, 2001, Indentation at a bimaterial interface: the line force solution, INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, Vol: 38, Pages: 4199-4220, ISSN: 0020-7683
Atkinson C, Díez M, 2001, The Rayleigh problem for nematic liquid crystals.: Short time solution, INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Vol: 39, Pages: 973-1012, ISSN: 0020-7225
Díez M, Atkinson C, 2001, The Rayleigh problem for nematic liquid crystals.: Similarity solutions, INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Vol: 39, Pages: 245-284, ISSN: 0020-7225
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- Citations: 2
Atkinson C, Alvarez MJ, 2001, The influence of perceived stock value price histories in the mean-variance-instability model, EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, Vol: 128, Pages: 185-191, ISSN: 0377-2217
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- Citations: 1
Chen CY, Atkinson C, 2001, Flow efficiency of perforated systems - a combined analytical and numerical treatment, JOURNAL OF ENGINEERING MATHEMATICS, Vol: 40, Pages: 159-178, ISSN: 0022-0833
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- Citations: 4
Atkinson C, Desroches J, Eftaxiopoulos DA, et al., 2001, Wellbore stresses induced by the nonlinear deformation of an inflatable packer, JOURNAL OF ENGINEERING MATHEMATICS, Vol: 41, Pages: 305-327, ISSN: 0022-0833
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- Citations: 9
Detournay E, Atkinson C, 2000, Influence of pore pressure on the drilling response in low-permeability shear-dilatant rocks, INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES, Vol: 37, Pages: 1091-1101, ISSN: 1365-1609
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- Citations: 45
Papanastasiou P, Atkinson C, 2000, Representation of crack-tip plasticity in pressure sensitive geomaterials, INTERNATIONAL JOURNAL OF FRACTURE, Vol: 102, Pages: 271-286, ISSN: 0376-9429
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- Citations: 6
Atkinson C, Blanco C, Martinez Esnaola JM, et al., 2000, Algunos problemas de fractura en elasticidad anisotropa, Anales de Mecanica de la Fracxtura, Vol: 17, Pages: 205-214
Atkinson C, 2000, Fracture stress analysis: some “practical” examples, In Fracture Mechanics: Applications and Challenges
Diez M, Atkinson C, 2000, Flow near a sharp corner in a nematic liquid crystal, Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, Vol: 456, Pages: 63-95, ISSN: 1364-5021
Atkinson C, 2000, Exact solutions of mode-3 wedge-crack problems in a medium with a general nonlinear stress-strain relation, Quarterly Journal of Mechanics and Applied Mathematics, Vol: 53, Pages: 137-148, ISSN: 0033-5614
Atkinson C, Aparicio ND, 1999, Fracture detection problems:: applications and limitations of the energy momentum tensor and related invariants, International Journal of Solids and Structures, Vol: 36, Pages: 4889-4999
We show that under certain circumstances, if displacement measurements are made inside and⧸or outside a body, it is possible to use two in variants based on the energy momentum tensor to determine (to some extent) the crack direction and length for cracks in bidimensional problems or the crack direction and area for cracks in three dimensional problems. This is done for a certain family of non-linear materials with a given toughness which includes linearly elastic materials with quadratic strain energy and power law elastic. One of the limitations is that the crack must be straight in 2D or planar in 3D.
Atkinson C, Aparicio ND, 1999, Fracture detection problems: applications and limitations of the energy momentum tensor and related invariants, Geomechanics Symposium, at the Joint ASCE/ASME/SES Mechanics Conference, Publisher: PERGAMON-ELSEVIER SCIENCE LTD, Pages: 4889-4899, ISSN: 0020-7683
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- Citations: 3
Atkinson C, Chen CY, 1999, On interface dislocations between dissimilar materials with non-linear stress-strain laws (Plane strain), INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Vol: 37, Pages: 553-573, ISSN: 0020-7225
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- Citations: 2
Atkinson C, Díez M, 1999, Orientational relaxation and flow near boundaries in nematic liquid crystals, INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Vol: 37, Pages: 575-607, ISSN: 0020-7225
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- Citations: 3
Chen CY, Atkinson C, 1999, On interface dislocations between dissimilarmaterials with non-linear stress-strain laws (mode 3analysis), Journal of the Mechanics and Physics of Solids, Vol: 47, Pages: 1-19, ISSN: 0022-5096
A mode 3 analysis of a dislocation on the interface of dissimilar materials withnon-linear stress-strain laws is considered. Local expansions of displacement at the dislocationcore are derived for both media by matching across the interface ahead of the dislocation core.The displacements near the dislocation core are found to be of different orders. When a uniformstress is included by some remote applied field, the energy is shown to concentrate on thematerial with less rigidity while the self-stress shows no influence on the dislocation core. Anexample of a bimaterial strip with rigid boundaries is used to illustrate the result. For thisexample, the near field can be obtained by considering the configurational force in the directionparallel to the boundaries.
Chen CY, Atkinson C, 1999, On interface dislocations between dissimilar materials with non-linear stress-strain laws (mode 3 analysis), JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, Vol: 47, Pages: 351-369, ISSN: 0022-5096
Blanco C, Martínez-Esnaola JM, Atkinson C, 1998, Kinked cracks in anisotropic elastic materials, INTERNATIONAL JOURNAL OF FRACTURE, Vol: 93, Pages: 387-407, ISSN: 0376-9429
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- Citations: 7
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