Publications
306 results found
Blanco C, MartÃnez-Esnaola JM, Atkinson C, 1998, Analysis of sharp angular notches in anisotropic materials, INTERNATIONAL JOURNAL OF FRACTURE, Vol: 93, Pages: 373-386, ISSN: 0376-9429
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- Citations: 5
Aparicio ND, Atkinson C, 1997, Ancillary solutions for curved crack stress analysis, PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Vol: 453, Pages: 2207-2228, ISSN: 1364-5021
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- Citations: 2
Atkinson C, Aparicio ND, 1997, An inverse problem method for crack detection in viscoelastic materials under anti-plane strain, INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Vol: 35, Pages: 841-849, ISSN: 0020-7225
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- Citations: 3
Chen CY, Atkinson C, 1997, The axisymmetric problem of a disc in a bimaterial sandwich - The (history dependent) scalar potential case, INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Vol: 35, Pages: 229-251, ISSN: 0020-7225
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- Citations: 2
Atkinson C, Thiercelin M, 1997, Pressurization of a fractured wellbore, INTERNATIONAL JOURNAL OF FRACTURE, Vol: 83, Pages: 243-273, ISSN: 0376-9429
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- Citations: 5
Atkinson C, Alvarez MJ, 1997, An approximately maximum expected utility decision procedure without the requirement of a specific utility function, Management, Pages: 4-9
Atkinson C, Chen CY, 1997, The influence of layer thickness on the stress intensity factor of a crack lying in an (visco)elastic layer embedded in a different (visco)elastic medium. (Plane strain, mode I analysis), Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, Vol: 453, Pages: 1445-1471, ISSN: 1364-5021
Atkinson C, Pliska SR, Wilmott P, 1997, Portfolio management with transaction costs, Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, Vol: 453, Pages: 551-562, ISSN: 1364-5021
Atkinson C, 1997, On an investment-consumption model with transaction costs : an asymptotic analysis, Applied Mathematical Finance, Pages: 109-133
Atkinson C, Eftaxiopoulos DA, 1996, A plane model for the stress field around an inclined, cased and cemented wellbore, INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, Vol: 20, Pages: 549-569, ISSN: 0363-9061
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- Citations: 22
Atkinson C, Akbay T, 1996, The effect of the concentration-dependent diffusivity of carbon in austenite on a model of reaustenitisation from ferrite/cementite mixtures in Fe-C steels, ACTA MATERIALIA, Vol: 44, Pages: 2861-2868, ISSN: 1359-6454
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- Citations: 12
Craster RV, Atkinson C, 1996, On finite-length cracks and inclusions in poroelasticity, Quarterly Journal of Mechanics and Applied Mathematics, Vol: 49, Pages: 310-332, ISSN: 0033-5614
A procedure is devised for the asymptotic solution of finite-length crack and inclusion problems under arbitrary time-dependent stress, pore pressure or pressure gradient loadings in porous elastic materials. The stress-intensity factors are identified explicitly as an expansion in real time for model problems involving uniformly loaded cracks. In the most general case this involves matched asymptotic expansions and rescalings that take advantage of the singular perturbation nature of the governing equations. The problems are written in terms of coupled Cauchy singular integral equations containing a small parameter; these can be combined to form a single subsidiary integral equation. This approach is used to split the problems into pieces driven by elastic, or pore-pressure, dominated solutions. Outer solutions that are driven by elastic solutions and eigensolutions are identified; these are matched to inner problems. The inner problems require the solution of a system of coupled integral equations; these are formulated in terms of functional equations. Fortunately the system uncouples and allows the inner solutions to be found explicitly. The pore-pressure driven pieces are deduced, to leading order, by a direct rescaling.
Akbay T, Atkinson C, 1996, The influence of diffusion of carbon in ferrite as well as in austenite on a model of reaustenitization from ferrite/cementite mixtures in Fe-C steels, JOURNAL OF MATERIALS SCIENCE, Vol: 31, Pages: 2221-2226, ISSN: 0022-2461
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- Citations: 20
Atkinson C, Chen CY, 1996, The influence of layer thickness on the stress intensity factor of a crack lying in an elastic (viscoelastic) layer embedded in a different elastic (viscoelastic) medium (mode III analysis), INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Vol: 34, Pages: 639-658, ISSN: 0020-7225
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- Citations: 22
Craster RV, Atkinson C, 1996, On finite-length cracks and inclusions in poroelasticity, QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, Vol: 49, Pages: 311-335, ISSN: 0033-5614
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- Citations: 3
Thiercelin M, Atkinson C, 1996, Pressurization of a fractured wellbore, Pages: 1105-1112
This paper presents the use of two-dimensional models to analyze the behaviour of a pre-existing fracture intersecting a pressurized wellbore. The fracture has an arbitrary location and inclination with respect to the wellbore and the far-field state of stress and it is assumed that the wellbore fluid penetrates the fracture only in the section where the fracture is open. The analysis shows that the wellbore pressure and width responses, as a function of the length of the open section, are extremely sensitive to the location of the fracture with respect to the wellbore. In particular, situations exist where the near wellbore state of stress dominates the pressure response. This result has strong consequences for stress measurement and interpretation. This work has application not only to stress measurement, but also to wellbore stability and hydraulic fracturing.
Craster RV, Atkinson C, 1996, On finite-length cracks and inclusions in poroelasticity, Quarterly Journal of Mechanics and Applied Mathematics, Vol: 49, Pages: 311-335, ISSN: 0033-5614
A procedure is devised for the asymptotic solution of finite-length crack and inclusion problems under arbitrary time-dependent stress, pore pressure or pressure gradient loadings in porous elastic materials. The stress-intensity factors are identified explicitly as an expansion in real time for model problems involving uniformly loaded cracks. In the most general case this involves matched asymptotic expansions and rescalings that take advantage of the singular perturbation nature of the governing equations. The problems are written in terms of coupled Cauchy singular integral equations containing a small parameter; these can be combined to form a single subsidiary integral equation. This approach is used to split the problems into pieces driven by elastic, or pore-pressure, dominated solutions. Outer solutions that are driven by elastic solutions and eigensolutions are identified; these are matched to inner problems. The inner problems require the solution of a system of coupled integral equations; these are formulated in terms of functional equations. Fortunately the system uncouples and allows the inner solutions to be found explicitly. The pore-pressure driven pieces are deduced to leading order, by a direct rescaling.
Atkinson C, Bourne JP, 1996, Non-linear diffusion controlled particle growth - A variational and asymptotic approach, INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Vol: 34, Pages: 21-46, ISSN: 0020-7225
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- Citations: 1
Atkinson C, Eftaxiopoulos DA, 1996, Hydraulic fracture propagation from a cased, cemented and inclined wellbore, 2nd North American Rock Mechanics Symposium, Pages: 1127-1134
Atkinson C, Aparicio ND, 1996, Un problema inverso para deteccion de grietas en materiales elasticos suetos a deformaciones antiplanares, III Congreso International de Métodos Numéricos en Ingenieria y Ciencias Aplicadas
Atkinson C, Craster RV, 1996, Cracks in poroelastic materials with a highly anisotropic fluid response, New York, 11th engineering mechanics conference MAY 19-22, 1996 FT LAUDERDALE, FL, Publisher: Amer Soc Civil Engineers, Pages: 212-215
Atkinson C, Craster RV, 1996, Cracks in poroelastic materials with a highly anisotropic fluid response, New York, 11th engineering mechanics conference MAY 19-22, 1996 FT LAUDERDALE, FL, Publisher: Amer Soc Civil Engineers, Pages: 212-215
APPLEBY S, ATKINSON C, 1995, COMPLEMENTARY VARIATIONAL-PRINCIPLES FOR GENERALIZED DYNAMIC CONTINUUM MODELS, INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Vol: 33, Pages: 1197-1223, ISSN: 0020-7225
ATKINSON C, AKBAY T, REED RC, 1995, THEORY FOR REAUSTENITIZATION FROM FERRITE/CEMENTITE MIXTURES IN FE-C-X STEELS, ACTA METALLURGICA ET MATERIALIA, Vol: 43, Pages: 2013-2031, ISSN: 0956-7151
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- Citations: 71
ATKINSON C, CHAMPION CR, 1995, ON SOME BOUNDARY-VALUE-PROBLEMS FOR THE EQUATION DEL.(F(VERTICAL-BAR-DEL-W-VERTICAL-BAR)DEL-W)=0, PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, Vol: 448, Pages: 269-279, ISSN: 0962-8444
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- Citations: 28
Atkinson C, Wilmott P, 1995, Portfolio management with transaction costs: an asymptotic analysis of the Morton and Pliska model, Mathematical Finance, Pages: 357-367
Atkinson C, 1995, Stress singularities in viscoelastic media and related problems, Crack and Contact Problems for Viscoelastic Bodies, Editors: Graham, Walton, Publisher: Springer Verlag, Pages: 1-52
Craster RV, Atkinson C, 1995, Theoretical aspects of fracture in porous elastic media, Mechanics of Poroelastic Media, Editors: Selvadurai, Selvadurai, Publisher: Kluwer Academic Press, Pages: 23-45
Atkinson C, Thiercelin M, 1995, The interaction between the wellbore and pre-existing fractures, INTERNATIONAL JOURNAL OF FRACTURE, Vol: 73, Pages: 183-200, ISSN: 0376-9429
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- Citations: 5
BLANCO C, MARTINEZESNAOLA JM, ATKINSON C, et al., 1995, COATING CRACKS IN MATERIALS WITH GENERAL ANISOTROPY, INTERNATIONAL JOURNAL OF FRACTURE, Vol: 71, Pages: 99-130, ISSN: 0376-9429
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- Citations: 4
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