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## Atkinson, Colin

Compute Distance To:
 Author ID: atkinson.colin.1 Published as: Atkinson, C.; Atkinson, Colin
 Documents Indexed: 162 Publications since 1965
all top 5

#### Co-Authors

 35 single-authored 12 Craster, Richard V. 10 Champion, C. R. 7 Aparicio, Nairo D. 7 Chen, Chiao-Yi 6 Wilmott, Paul 5 Eftaxiopoulos, Dimitrios A. 5 Mokkhavesa, Sutee 4 Bourne, J. P. 4 Pereira, P. J. S. 3 Chen, Chuanying 3 Ingpochai, Pongsathorn 2 Appleby, Stephen A. 2 Avila, Juan F. 2 Bastero, C. 2 Bernal, Michael J. M. 2 Bouillet, Julio E. 2 Clements, David L. 2 De Lara, Maria Manrique 2 Diez, Mikel 2 El-Ali, K. 2 Leppington, Frank G. 2 List, R. D. 2 Monmont, F. B. J. 2 Osseiran, Adel 2 Popelar, Carl H. 2 Reuter, G. E. H. 2 Sherwood, John D. 2 Xanthis, Leonidas Spyridon 1 Alexandropoulos, C. A. 1 Alvarez, María Jesus 1 Blanco, Christian 1 Coleman, Christopher J. 1 Desroches, Jean 1 íez, M. 1 Isangulov, R. R. 1 Javaherian, H. 1 Jones, Caleb W. 1 Kazantzaki, S. 1 Mitchell, Ann F. S. 1 Papakokkinou, Maria 1 Papanastasiou, Panos 1 Peltier, B. 1 Pliska, Stanley R. 1 Ridler-Rowe, C. J. 1 Rogers, Colin 1 Smelser, Ronald E. 1 Storey, Emmeline 1 Thiercelin, M. 1 Thompson, Mary Elinore 1 Tsibiridi, C. 1 Webb, Dorothy 1 Williams, Mark L. 1 Zazovskij, A. F.
all top 5

#### Serials

 37 International Journal of Engineering Science 17 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 11 Quarterly Journal of Mechanics and Applied Mathematics 9 International Journal of Solids and Structures 7 IMA Journal of Applied Mathematics 7 Applied Mathematical Finance 5 Journal of the Mechanics and Physics of Solids 4 Archives of Mechanics 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Journal of Engineering Mathematics 3 European Journal of Applied Mathematics 2 Acta Mechanica 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of the Institute of Mathematics and its Applications 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Elasticity 2 SIAM Journal on Applied Mathematics 2 Philosophical Transactions of the Royal Society of London. Series A 2 Fractional Calculus & Applied Analysis 2 Quantitative Finance 2 IMA Journal of Management Mathematics 1 Advances in Applied Probability 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Inverse Problems 1 Journal of the Australian Mathematical Society, Series B 1 Journal of Mathematical Analysis and Applications 1 Journal of Sound and Vibration 1 Biometrika 1 The Mathematical Scientist 1 Sankhyā. Series A. Methods and Techniques 1 Studies in Applied Mathematics 1 IMA Journal of Mathematics Applied in Business and Industry 1 European Journal of Operational Research 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Journal on Mathematical Analysis 1 Engineering Analysis with Boundary Elements 1 Mathematical Finance 1 CMES. Computer Modeling in Engineering & Sciences 1 International Journal of Fracture 1 European Journal of Pure and Applied Mathematics
all top 5

#### Fields

 93 Mechanics of deformable solids (74-XX) 31 Fluid mechanics (76-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Partial differential equations (35-XX) 7 Integral equations (45-XX) 7 Probability theory and stochastic processes (60-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Numerical analysis (65-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 3 Approximations and expansions (41-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 Ordinary differential equations (34-XX) 2 Geophysics (86-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

104 Publications have been cited 598 times in 494 Documents Cited by Year
Rao’s distance measure. Zbl 0534.62012
Atkinson, Colin; Mitchell, Ann F. S.
1981
Some boundary value problems for the Bingham model. Zbl 0747.76012
Atkinson, C.; El-Ali, K.
1992
The effect of couple stresses on the tip of a crack. Zbl 0368.73083
Atkinson, C.; Leppington, F. G.
1977
Deterministic epidemic waves. Zbl 0338.92019
Atkinson, C.; Reuter, G. E. H.
1976
Some boundary-value problems for the equation $$\nabla .(| \nabla \phi | ^ N\nabla \phi)=0$$. Zbl 0567.73054
Atkinson, C.; Champion, C. R.
1984
Antiplane crack problems for an inhomogeneous elastic material. Zbl 0419.73080
Clements, D. L.; Atkinson, C.; Rogers, C.
1978
Portfolio management with transaction costs: an asymptotic analysis of the Morton and Pliska model. Zbl 0866.90010
Atkinson, C.; Wilmott, P.
1995
Traveling wave solutions for some nonlinear diffusion equations. Zbl 0471.35042
Atkinson, C.; Reuter, G. E. H.; Ridler-Rowe, C. J.
1981
The interaction between a crack and an inclusion. Zbl 0224.73098
Atkinson, C.
1972
Rational solutions for the time-fractional diffusion equation. Zbl 1222.26011
2011
Moving boundary problems for time fractional and composition dependent diffusion. Zbl 1302.35473
Atkinson, Colin
2012
Multi-asset portfolio optimization with transaction cost. Zbl 1106.91319
Atkinson, C.; Mokkhavesa, S.
2004
Portfolio management with transaction costs. Zbl 0873.90007
Atkinson, Colin; Pliska, Stanley R.; Wilmott, Paul
1997
Some ribbon-like inclusion problems. Zbl 0251.73075
Atkinson, C.
1973
The propagation of a brittle crack in anisotropic material. Zbl 0135.43403
Atkinson, C.
1965
Some qualitative properties of solutions of a generalised diffusion equation. Zbl 0428.35046
Atkinson, C.; Bouillet, J. E.
1979
On some crack problems in anisotropic thermoelasticity. Zbl 0367.73087
Atkinson, C.; Clements, D. L.
1977
On some boundary value problems for the equation $$\nabla\cdot(F(|\nabla w|)\nabla w)=0$$. Zbl 0820.73013
Atkinson, C.; Champion, C. R.
1995
Plane strain fracture in poroelastic media. Zbl 0794.73057
Atkinson, C.; Craster, R. V.
1991
The treatment of singularities in the calculation of stress intensity factors using the boundary integral equation method. Zbl 0461.73066
Xanthis, L. S.; Bernal, M. J. M.; Atkinson, C.
1981
Similarity solutions in some non-linear diffusion problems and in boundary-layer flow of a pseudo-plastic fluid. Zbl 0286.76038
Atkinson, C.; Jones, C. W.
1974
Fracture in fully coupled dynamic thermoelasticity. Zbl 0778.73048
Atkinson, C.; Craster, R. V.
1992
A generalized diffusion equation: Radial symmetries and comparison theorems. Zbl 0536.35036
Bouillet, Julio E.; Atkinson, Colin
1983
Theory of optimal consumption and portfolio selection under a capital-at-risk (CaR) and a value-at-risk (VaR) constraint. Zbl 1181.91289
Atkinson, Colin; Papakokkinou, Maria
2005
Crack problems in nonlocal elasticity. Zbl 0483.73078
Atkinson, C.
1980
On the dynamic stress and displacement field associated with a crack propagating across the interface between two media. Zbl 0282.73063
Atkinson, C.
1974
Intertemporal portfolio optimization with small transaction costs and stochastic variance. Zbl 1101.91324
Atkinson, C.; Mokkhavesa, S.
2003
A mode III crack at the interface between two nonlinear materials. Zbl 0699.73066
Champion, C. R.; Atkinson, C.
1990
Stress singularities in viscoelastic media. Zbl 0693.73068
Atkinson, C.; Bourne, J. P.
1989
The asymptotic solution of some integral equations. Zbl 0531.45003
Atkinson, C.; Leppington, F. G.
1983
On the stress intensity factors associated with cracks interacting with an interface between two elastic media. Zbl 0312.73116
Atkinson, C.
1975
Direct numerical simulation of a self-similar adverse pressure gradient turbulent boundary layer at the verge of separation. Zbl 07136088
Kitsios, Vassili; Sekimoto, A.; Atkinson, C.; Sillero, J. A.; Borrell, G.; Gungor, A. G.; Jiménez, J.; Soria, J.
2017
A nonlinear, anisotropic and axisymmetric model for balloon angioplasty. Zbl 1145.92321
Eftaxiopoulos, Dimitrios A.; Atkinson, Colin
2005
Perturbation solution of optimal portfolio theory with transaction costs for any utility function. Zbl 1086.91032
Mokkhavesa, S.; Atkinson, C.
2002
Mixed boundary-value problems in non-homogeneous elastic materials. Zbl 0829.73020
Craster, R. V.; Atkinson, C.
1994
A crack at the interface between two power-law materials under plane strain loading. Zbl 0715.73057
Champion, C. R.; Atkinson, C.
1991
On some recent crack tip stress calculations in nonlocal elasticity. Zbl 0495.73087
Atkinson, C.
1980
The influence of layer thickness on the stress intensity factor of a penny-shaped crack in a sandwiched viscoelastic bimaterial. Zbl 1211.74196
Chen, C. Y.; Atkinson, C.
2005
Flow of a nematic liquid crystal near the leading edge of an infinite prism. Zbl 1115.76009
Atkinson, C.; Pereira, P. J. S.
2005
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). Zbl 0900.73596
Atkinson, C.; Chen, C. Y.
1996
Stress singularities in viscoelastic media. II. Plane-strain stress singularities at corners. Zbl 0702.73030
Bourne, J. P.; Atkinson, C.
1990
Some screw-dislocation and point-force interactions with boundaries for nonlinear power-law materials. Zbl 0567.73110
Champion, C. R.; Atkinson, C.
1985
Fracture mechanics stress analysis. Zbl 0561.73081
Atkinson, C.
1983
The frequency response of a rectangular cantilever plate vibrating in a viscous fluid. Zbl 1241.74010
Atkinson, C.; De Lara, M. Manrique
2007
Pricing a European basket option in the presence of proportional transaction costs. Zbl 1142.91501
Atkinson, C.; Alexandropoulos, C. A.
2006
An inverse boundary problem for the steady-diffusion equation with moving boundaries with applications to the pearlite-austenite transformation in steel. Zbl 1087.74607
Aparicio, N. D.; Atkinson, C.
2002
Theoretical aspects of fracture in porous elastic media. Zbl 0870.73053
Craster, R. V.; Atkinson, C.
1996
Crack problems in a poroelastic medium: An asymptotic approach. Zbl 0810.73047
Craster, R. V.; Atkinson, C.
1994
Stress singularities in angular sectors of viscoelastic media. Zbl 0715.73030
Atkinson, C.; Bourne, J. P.
1990
Steady state crack propagation into media with spatially varying elastic properties. Zbl 0407.73078
Atkinson, C.; List, R. D.
1978
A note on the Cherepanov calculation of viscoelastic fracture. Zbl 0245.73082
Atkinson, C.; Williams, M. L.
1973
Dynamic portfolio optimization in discrete-time with transaction costs. Zbl 1372.91094
Atkinson, Colin; Quek, Gary
2012
The effect of correlation and transaction costs on the pricing of basket options. Zbl 1372.91101
Atkinson, C.; Ingpochai, P.
2012
Optimization of $$N$$-risky asset portfolios with stochastic variance and transaction costs. Zbl 1195.91141
Atkinson, C.; Ingpochai, P.
2010
A mathematical model of an oil and gas field development process. Zbl 1188.91125
Atkinson, C.; Isangulov, R.
2010
Reciprocal and related theorems for nematic liquid crystals. Zbl 1211.82055
Atkinson, C.; Pereira, P. J. S.
2005
Towards the determination of utility preference from optimal portfolio selections. Zbl 1064.91034
Atkinson, Colin; Mokkhavesa, Sutee
2001
Wellbore stresses induced by the nonlinear deformation of an inflatable packer. Zbl 1039.74033
Atkinson, C.; Desroches, J.; Eftaxiopoulos, D. A.; Thiercelin, M.
2001
The axisymmetric problem of a disc in a bimaterial sandwich – the (history dependent) scalar potential case. Zbl 0902.73046
Chen, C. Y.; Atkinson, C.
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). Zbl 0884.73051
Atkinson, C.; Chen, C. Y.
1997
The finite deformation of a reinforced packer, membrane theory. Zbl 0792.73043
Atkinson, C.; Peltier, B.
1993
On a crack in a material with a nonlinear stress-strain law. Zbl 0786.73057
Champion, C. R.; Atkinson, C.
1993
The application of invariant integrals in diffusive elastic solids. Zbl 0770.73058
Atkinson, C.; Craster, R. V.
1992
Shear cracks in thermoelastic and poroelastic media. Zbl 0777.73049
Craster, R. V.; Atkinson, C.
1992
The torque on a rotating $$n$$-bladed vane in a Newtonian fluid or linear elastic medium. Zbl 0759.76007
Atkinson, C.; Sherwood, J. D.
1992
Boundary integral equation crack-tip analysis and applications to elastic media with spatially varying elastic properties. Zbl 0466.73108
Atkinson, C.; Xanthis, L. S.; Bernal, M. J. M.
1981
Dynamic rack propagation in a viscoelastic strip. Zbl 0463.73114
Popelar, C. H.; Atkinson, C.
1980
Antiplane dynamic crack propagation in a viscoelastic strip. Zbl 0423.73070
Atkinson, C.; Popelar, C. H.
1979
On some steady-state moving boundary problems in the linear theory of viscoelasticity. Zbl 0382.73028
Atkinson, C.; Coleman, C. J.
1977
A note on some crack problems in a variable modulus strip. Zbl 0374.73080
Atkinson, C.
1975
Some asymptotic results for the effect of composition-dependent diffusion on the growth rates of precipitate particles. Zbl 0293.76049
Atkinson, C.
1974
Natural gas-fired power plants valuation and optimization under Lévy copulas and regime switching. Zbl 1396.91762
Safarov, Nemat; Atkinson, Colin
2017
Discrete-space time-fractional processes. Zbl 1312.60040
2011
Building an optimal portfolio in discrete time in the presence of transaction costs. Zbl 1233.91233
Atkinson, Colin; Storey, Emmeline
2010
A free boundary problem of a real option model. Zbl 1180.91302
Atkinson, C.
2009
Double knock-out Asian barrier options which widen or contract as they approach maturity. Zbl 1169.91335
Atkinson, C.; Kazantzaki, S.
2009
Fluid reaction on a vibrating disc in a viscous medium. Zbl 1213.76048
Atkinson, Colin; De Lara, Maria Manrique
2006
Orientational director effects in nematic liquid crystals with small Ericksen number. Zbl 1149.76605
Atkinson, C.; Pereira, P. J. S.
2006
Flow performance of horizontal wells with inflow control devices. Zbl 1329.76324
Atkinson, C.; Monmont, F.; Zazovsky, A. F.
2004
Numerical and analytical solutions for the problem of hydraulic fracturing from a cased and cemented wellbore. Zbl 1090.74655
Atkinson, C.; Eftaxiopoulos, D. A.
2002
Flow efficiency of perforated systems – a combined analytical and numerical treatment. Zbl 1031.76049
Chen, C. Y.; Atkinson, C.
2001
The influence of perceived stock value price histories in the mean-variance-instability model. Zbl 1032.91048
Atkinson, C.; Alvarez, M. J.
2001
Flow near a sharp corner in a nematic liquid crystal. Zbl 0990.76005
Díez, M.; Atkinson, C.
2000
On interface dislocations between dissimilar materials with non-linear stress-strain laws (plane strain). Zbl 1210.74158
Atkinson, C.; Chen, C. Y.
1999
Fracture detection problems: Applications and limitations of the energy momentum tensor and related invariants. Zbl 0935.74059
Atkinson, C.; Aparicio, N. D.
1999
Ancillary solutions for curved crack stress analysis. Zbl 0898.73049
Aparicio, N. D.; Atkinson, C.
1997
A plane model for the stress field around an inclined, cased and cemented wellbore. Zbl 0892.73044
Atkinson, C.; Eftaxiopoulos, D. A.
1996
Interfacial fracture of a radially inhomogeneous elastic bimaterial. Zbl 0945.74676
Atkinson, C.; Craster, R. V.
1994
Plane dynamic crack propagation in a nonhomogeneous viscoelastic strip. Zbl 0791.73054
Aparicio, N. D.; Atkinson, C.
1994
Crack tip stress singularities and dislocation interactions with anisotropic viscoelastic bimaterial interfaces. Zbl 0825.73544
Eftaxiopoulos, D. A.; Atkinson, C.
1991
On the use of Betti’s reciprocal theorem for computing the coefficients of stress singularities in anisotropic media. Zbl 0749.73013
Atkinson, C.; Bastero, C.
1991
A boundary integral equation formulation for problems involving nonlinear power-law materials. Zbl 0598.73082
Atkinson, C.; Champion, C. R.
1985
A comparison of exact and model solutions for the initiation of debond fracture. Zbl 0516.73113
Atkinson, C.; Avila, J.
1983
Special analytical solutions for use in debond stress analysis. Zbl 0493.73090
Atkinson, C.; Avila, J.
1982
The growth kinetics of individual ledges during solid-solid phase transformations. Zbl 0487.76081
Atkinson, C.
1981
Evaluation of stress intensity factors associatd with bimaterial cracks. Zbl 0463.73123
Atkinson, C.; Javaherian, H.
1980
A note on some dynamic crack problems in linear viscoelasticity. Zbl 0439.73091
Atkinson, C.
1979
The existence of steady wave solutions to a non-local version of the K.P.P. equation. Zbl 0386.34002
Atkinson, C.
1978
A Wiener-Hopf integral equation arising in some inference and queueing problems. Zbl 0283.60064
Atkinson, C.
1974
On dislocation densities and stress singularities associated with cracks and pile ups in inhomogeneous media. Zbl 0237.73106
Atkinson, C.
1972
Direct numerical simulation of a self-similar adverse pressure gradient turbulent boundary layer at the verge of separation. Zbl 07136088
Kitsios, Vassili; Sekimoto, A.; Atkinson, C.; Sillero, J. A.; Borrell, G.; Gungor, A. G.; Jiménez, J.; Soria, J.
2017
Natural gas-fired power plants valuation and optimization under Lévy copulas and regime switching. Zbl 1396.91762
Safarov, Nemat; Atkinson, Colin
2017
Moving boundary problems for time fractional and composition dependent diffusion. Zbl 1302.35473
Atkinson, Colin
2012
Dynamic portfolio optimization in discrete-time with transaction costs. Zbl 1372.91094
Atkinson, Colin; Quek, Gary
2012
The effect of correlation and transaction costs on the pricing of basket options. Zbl 1372.91101
Atkinson, C.; Ingpochai, P.
2012
Rational solutions for the time-fractional diffusion equation. Zbl 1222.26011
2011
Discrete-space time-fractional processes. Zbl 1312.60040
2011
Optimization of $$N$$-risky asset portfolios with stochastic variance and transaction costs. Zbl 1195.91141
Atkinson, C.; Ingpochai, P.
2010
A mathematical model of an oil and gas field development process. Zbl 1188.91125
Atkinson, C.; Isangulov, R.
2010
Building an optimal portfolio in discrete time in the presence of transaction costs. Zbl 1233.91233
Atkinson, Colin; Storey, Emmeline
2010
A free boundary problem of a real option model. Zbl 1180.91302
Atkinson, C.
2009
Double knock-out Asian barrier options which widen or contract as they approach maturity. Zbl 1169.91335
Atkinson, C.; Kazantzaki, S.
2009
The frequency response of a rectangular cantilever plate vibrating in a viscous fluid. Zbl 1241.74010
Atkinson, C.; De Lara, M. Manrique
2007
Pricing a European basket option in the presence of proportional transaction costs. Zbl 1142.91501
Atkinson, C.; Alexandropoulos, C. A.
2006
Fluid reaction on a vibrating disc in a viscous medium. Zbl 1213.76048
Atkinson, Colin; De Lara, Maria Manrique
2006
Orientational director effects in nematic liquid crystals with small Ericksen number. Zbl 1149.76605
Atkinson, C.; Pereira, P. J. S.
2006
Theory of optimal consumption and portfolio selection under a capital-at-risk (CaR) and a value-at-risk (VaR) constraint. Zbl 1181.91289
Atkinson, Colin; Papakokkinou, Maria
2005
A nonlinear, anisotropic and axisymmetric model for balloon angioplasty. Zbl 1145.92321
Eftaxiopoulos, Dimitrios A.; Atkinson, Colin
2005
The influence of layer thickness on the stress intensity factor of a penny-shaped crack in a sandwiched viscoelastic bimaterial. Zbl 1211.74196
Chen, C. Y.; Atkinson, C.
2005
Flow of a nematic liquid crystal near the leading edge of an infinite prism. Zbl 1115.76009
Atkinson, C.; Pereira, P. J. S.
2005
Reciprocal and related theorems for nematic liquid crystals. Zbl 1211.82055
Atkinson, C.; Pereira, P. J. S.
2005
Multi-asset portfolio optimization with transaction cost. Zbl 1106.91319
Atkinson, C.; Mokkhavesa, S.
2004
Flow performance of horizontal wells with inflow control devices. Zbl 1329.76324
Atkinson, C.; Monmont, F.; Zazovsky, A. F.
2004
Intertemporal portfolio optimization with small transaction costs and stochastic variance. Zbl 1101.91324
Atkinson, C.; Mokkhavesa, S.
2003
Perturbation solution of optimal portfolio theory with transaction costs for any utility function. Zbl 1086.91032
Mokkhavesa, S.; Atkinson, C.
2002
An inverse boundary problem for the steady-diffusion equation with moving boundaries with applications to the pearlite-austenite transformation in steel. Zbl 1087.74607
Aparicio, N. D.; Atkinson, C.
2002
Numerical and analytical solutions for the problem of hydraulic fracturing from a cased and cemented wellbore. Zbl 1090.74655
Atkinson, C.; Eftaxiopoulos, D. A.
2002
Towards the determination of utility preference from optimal portfolio selections. Zbl 1064.91034
Atkinson, Colin; Mokkhavesa, Sutee
2001
Wellbore stresses induced by the nonlinear deformation of an inflatable packer. Zbl 1039.74033
Atkinson, C.; Desroches, J.; Eftaxiopoulos, D. A.; Thiercelin, M.
2001
Flow efficiency of perforated systems – a combined analytical and numerical treatment. Zbl 1031.76049
Chen, C. Y.; Atkinson, C.
2001
The influence of perceived stock value price histories in the mean-variance-instability model. Zbl 1032.91048
Atkinson, C.; Alvarez, M. J.
2001
Flow near a sharp corner in a nematic liquid crystal. Zbl 0990.76005
Díez, M.; Atkinson, C.
2000
On interface dislocations between dissimilar materials with non-linear stress-strain laws (plane strain). Zbl 1210.74158
Atkinson, C.; Chen, C. Y.
1999
Fracture detection problems: Applications and limitations of the energy momentum tensor and related invariants. Zbl 0935.74059
Atkinson, C.; Aparicio, N. D.
1999
Portfolio management with transaction costs. Zbl 0873.90007
Atkinson, Colin; Pliska, Stanley R.; Wilmott, Paul
1997
The axisymmetric problem of a disc in a bimaterial sandwich – the (history dependent) scalar potential case. Zbl 0902.73046
Chen, C. Y.; Atkinson, C.
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). Zbl 0884.73051
Atkinson, C.; Chen, C. Y.
1997
Ancillary solutions for curved crack stress analysis. Zbl 0898.73049
Aparicio, N. D.; Atkinson, C.
1997
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). Zbl 0900.73596
Atkinson, C.; Chen, C. Y.
1996
Theoretical aspects of fracture in porous elastic media. Zbl 0870.73053
Craster, R. V.; Atkinson, C.
1996
A plane model for the stress field around an inclined, cased and cemented wellbore. Zbl 0892.73044
Atkinson, C.; Eftaxiopoulos, D. A.
1996
Portfolio management with transaction costs: an asymptotic analysis of the Morton and Pliska model. Zbl 0866.90010
Atkinson, C.; Wilmott, P.
1995
On some boundary value problems for the equation $$\nabla\cdot(F(|\nabla w|)\nabla w)=0$$. Zbl 0820.73013
Atkinson, C.; Champion, C. R.
1995
Mixed boundary-value problems in non-homogeneous elastic materials. Zbl 0829.73020
Craster, R. V.; Atkinson, C.
1994
Crack problems in a poroelastic medium: An asymptotic approach. Zbl 0810.73047
Craster, R. V.; Atkinson, C.
1994
Interfacial fracture of a radially inhomogeneous elastic bimaterial. Zbl 0945.74676
Atkinson, C.; Craster, R. V.
1994
Plane dynamic crack propagation in a nonhomogeneous viscoelastic strip. Zbl 0791.73054
Aparicio, N. D.; Atkinson, C.
1994
The finite deformation of a reinforced packer, membrane theory. Zbl 0792.73043
Atkinson, C.; Peltier, B.
1993
On a crack in a material with a nonlinear stress-strain law. Zbl 0786.73057
Champion, C. R.; Atkinson, C.
1993
Some boundary value problems for the Bingham model. Zbl 0747.76012
Atkinson, C.; El-Ali, K.
1992
Fracture in fully coupled dynamic thermoelasticity. Zbl 0778.73048
Atkinson, C.; Craster, R. V.
1992
The application of invariant integrals in diffusive elastic solids. Zbl 0770.73058
Atkinson, C.; Craster, R. V.
1992
Shear cracks in thermoelastic and poroelastic media. Zbl 0777.73049
Craster, R. V.; Atkinson, C.
1992
The torque on a rotating $$n$$-bladed vane in a Newtonian fluid or linear elastic medium. Zbl 0759.76007
Atkinson, C.; Sherwood, J. D.
1992
Plane strain fracture in poroelastic media. Zbl 0794.73057
Atkinson, C.; Craster, R. V.
1991
A crack at the interface between two power-law materials under plane strain loading. Zbl 0715.73057
Champion, C. R.; Atkinson, C.
1991
Crack tip stress singularities and dislocation interactions with anisotropic viscoelastic bimaterial interfaces. Zbl 0825.73544
Eftaxiopoulos, D. A.; Atkinson, C.
1991
On the use of Betti’s reciprocal theorem for computing the coefficients of stress singularities in anisotropic media. Zbl 0749.73013
Atkinson, C.; Bastero, C.
1991
A mode III crack at the interface between two nonlinear materials. Zbl 0699.73066
Champion, C. R.; Atkinson, C.
1990
Stress singularities in viscoelastic media. II. Plane-strain stress singularities at corners. Zbl 0702.73030
Bourne, J. P.; Atkinson, C.
1990
Stress singularities in angular sectors of viscoelastic media. Zbl 0715.73030
Atkinson, C.; Bourne, J. P.
1990
Stress singularities in viscoelastic media. Zbl 0693.73068
Atkinson, C.; Bourne, J. P.
1989
Some screw-dislocation and point-force interactions with boundaries for nonlinear power-law materials. Zbl 0567.73110
Champion, C. R.; Atkinson, C.
1985
A boundary integral equation formulation for problems involving nonlinear power-law materials. Zbl 0598.73082
Atkinson, C.; Champion, C. R.
1985
Some boundary-value problems for the equation $$\nabla .(| \nabla \phi | ^ N\nabla \phi)=0$$. Zbl 0567.73054
Atkinson, C.; Champion, C. R.
1984
A generalized diffusion equation: Radial symmetries and comparison theorems. Zbl 0536.35036
Bouillet, Julio E.; Atkinson, Colin
1983
The asymptotic solution of some integral equations. Zbl 0531.45003
Atkinson, C.; Leppington, F. G.
1983
Fracture mechanics stress analysis. Zbl 0561.73081
Atkinson, C.
1983
A comparison of exact and model solutions for the initiation of debond fracture. Zbl 0516.73113
Atkinson, C.; Avila, J.
1983
Special analytical solutions for use in debond stress analysis. Zbl 0493.73090
Atkinson, C.; Avila, J.
1982
Rao’s distance measure. Zbl 0534.62012
Atkinson, Colin; Mitchell, Ann F. S.
1981
Traveling wave solutions for some nonlinear diffusion equations. Zbl 0471.35042
Atkinson, C.; Reuter, G. E. H.; Ridler-Rowe, C. J.
1981
The treatment of singularities in the calculation of stress intensity factors using the boundary integral equation method. Zbl 0461.73066
Xanthis, L. S.; Bernal, M. J. M.; Atkinson, C.
1981
Boundary integral equation crack-tip analysis and applications to elastic media with spatially varying elastic properties. Zbl 0466.73108
Atkinson, C.; Xanthis, L. S.; Bernal, M. J. M.
1981
The growth kinetics of individual ledges during solid-solid phase transformations. Zbl 0487.76081
Atkinson, C.
1981
Crack problems in nonlocal elasticity. Zbl 0483.73078
Atkinson, C.
1980
On some recent crack tip stress calculations in nonlocal elasticity. Zbl 0495.73087
Atkinson, C.
1980
Dynamic rack propagation in a viscoelastic strip. Zbl 0463.73114
Popelar, C. H.; Atkinson, C.
1980
Evaluation of stress intensity factors associatd with bimaterial cracks. Zbl 0463.73123
Atkinson, C.; Javaherian, H.
1980
Some qualitative properties of solutions of a generalised diffusion equation. Zbl 0428.35046
Atkinson, C.; Bouillet, J. E.
1979
Antiplane dynamic crack propagation in a viscoelastic strip. Zbl 0423.73070
Atkinson, C.; Popelar, C. H.
1979
A note on some dynamic crack problems in linear viscoelasticity. Zbl 0439.73091
Atkinson, C.
1979
Antiplane crack problems for an inhomogeneous elastic material. Zbl 0419.73080
Clements, D. L.; Atkinson, C.; Rogers, C.
1978
Steady state crack propagation into media with spatially varying elastic properties. Zbl 0407.73078
Atkinson, C.; List, R. D.
1978
The existence of steady wave solutions to a non-local version of the K.P.P. equation. Zbl 0386.34002
Atkinson, C.
1978
The effect of couple stresses on the tip of a crack. Zbl 0368.73083
Atkinson, C.; Leppington, F. G.
1977
On some crack problems in anisotropic thermoelasticity. Zbl 0367.73087
Atkinson, C.; Clements, D. L.
1977
On some steady-state moving boundary problems in the linear theory of viscoelasticity. Zbl 0382.73028
Atkinson, C.; Coleman, C. J.
1977
Deterministic epidemic waves. Zbl 0338.92019
Atkinson, C.; Reuter, G. E. H.
1976
On the stress intensity factors associated with cracks interacting with an interface between two elastic media. Zbl 0312.73116
Atkinson, C.
1975
A note on some crack problems in a variable modulus strip. Zbl 0374.73080
Atkinson, C.
1975
Similarity solutions in some non-linear diffusion problems and in boundary-layer flow of a pseudo-plastic fluid. Zbl 0286.76038
Atkinson, C.; Jones, C. W.
1974
On the dynamic stress and displacement field associated with a crack propagating across the interface between two media. Zbl 0282.73063
Atkinson, C.
1974
Some asymptotic results for the effect of composition-dependent diffusion on the growth rates of precipitate particles. Zbl 0293.76049
Atkinson, C.
1974
A Wiener-Hopf integral equation arising in some inference and queueing problems. Zbl 0283.60064
Atkinson, C.
1974
Some ribbon-like inclusion problems. Zbl 0251.73075
Atkinson, C.
1973
A note on the Cherepanov calculation of viscoelastic fracture. Zbl 0245.73082
Atkinson, C.; Williams, M. L.
1973
The interaction between a crack and an inclusion. Zbl 0224.73098
Atkinson, C.
1972
On dislocation densities and stress singularities associated with cracks and pile ups in inhomogeneous media. Zbl 0237.73106
Atkinson, C.
1972
A moving crack problem in a viscoelastic solid. Zbl 0232.73037
Atkinson, C.; List, R. D.
1972
...and 4 more Documents
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#### Cited by 839 Authors

 32 Atkinson, Colin 11 Cheng, Jin 11 Cheng, Yunhong 11 Lü, Nianchun 10 Rogers, Colin 7 Radi, Enrico 7 Rasouli, Sayyed Hashem 6 Afrouzi, Ghasem Alizadeh 6 Georgiadis, H. G. 6 Li, Xingang 6 Liu, Steve Wenbin 6 Oller, Josep M. 5 Clements, David L. 5 Roscani, Sabrina D. 4 Barrett, John W. 4 Chen, Chiao-Yi 4 Muhle-Karbe, Johannes 4 Selvadurai, A. Patrick S. 4 Soner, Halil Mete 4 Wang, Jinrong 3 Bouillet, Julio E. 3 Cherepanov, Genady P. 3 Craster, Richard V. 3 Draviam, Thangaraj 3 Fernández Bonder, Julián 3 Gourgiotis, Panos A. 3 Huang, Zaixing 3 Mansour, Mahmoud Bakheet A. 3 Pereira, P. J. S. 3 Potapenko, Stanislav 3 Schiavone, Peter 3 Schovanec, Lawrence 3 Shmoylova, E. 3 Tarzia, Domingo Alberto 3 Vasylyeva, Nataliya V. 3 Wu, Bing 2 Aboudi, Jacob 2 Altarovici, Albert 2 Ang, Wei Tech 2 Aravas, Nikolaos 2 Atkinson, Colin 2 Benveniste, Yakov 2 Berthoumieu, Yannick 2 Bombrun, Lionel 2 Calvo, Miquel 2 Chao, Ching-Kong 2 Chellathurai, Thamayanthi 2 Chen, Caisheng 2 Chiou, Wan-Jiun Paul 2 Chmaj, Adam J. J. 2 Cruse, Thomas A. 2 Dai, Ming 2 Dai, Tianmin 2 Dascalu, Cristian 2 Diekmann, Odo 2 Djellit, Ali 2 Dyskin, Arcady V. 2 Fečkan, Michal 2 Gao, Wenjie 2 Georgievskiĭ, Dmitriĭ Vladimirovich 2 Gharahi, Alireza 2 Guasoni, Paolo 2 Hai, Dang Dinh 2 Herrmann, J. Michael 2 Hilhorst, Danielle 2 Hill, Desmond L. 2 Hill, James Murray 2 Hosono, Yuzo 2 Huang, Yonggang Young 2 Hwang, Jinyul 2 Ingpochai, Pongsathorn 2 Ioakimidis, Nikolaos Ioakim 2 Jones, Rhys Price 2 Kaczyński, Andrzej 2 Kanaun, Sergei K. 2 Kersner, Robert 2 Kpégba, K. W. 2 Lazzarin, Paolo 2 Lei, Jun 2 Li, Xiaolin 2 Logak, Elisabeth 2 Loret, Benjamin 2 Lubarda, Vlado A. 2 Mariano, Paolo Maria 2 Marzouk, Youssef M. 2 Menéndez, María Luisa 2 Mishuris, Gennady S. 2 Mokkhavesa, Sutee 2 Mollison, Denis 2 Morales, Domingo 2 Movchan, Alexander B. 2 Muthuraman, Kumar 2 Nazarov, Sergeĭ Aleksandrovich 2 Nwogugu, Michael C. I. 2 Ottavy, Noël 2 Pacelli, Graziella 2 Pardo, Leandro 2 Pasternak, Elena 2 Peng, Daren 2 Piccolroaz, Andrea ...and 739 more Authors
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#### Cited in 191 Serials

 29 International Journal of Engineering Science 22 Acta Mechanica 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Journal of the Mechanics and Physics of Solids 14 European Journal of Mechanics. A. Solids 12 Engineering Analysis with Boundary Elements 11 Journal of Mathematical Analysis and Applications 11 International Journal of Fracture 10 Computer Methods in Applied Mechanics and Engineering 10 Mathematics and Mechanics of Solids 9 Applied Mathematics and Computation 9 Applied Mathematics and Mechanics. (English Edition) 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Fractional Calculus & Applied Analysis 6 International Journal of Solids and Structures 6 Journal of Fluid Mechanics 6 Journal of Multivariate Analysis 6 Journal of Elasticity 6 Archive of Applied Mechanics 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 Nonlinear Analysis. Theory, Methods & Applications 5 Journal of Applied Mathematics and Mechanics 5 Mathematical Biosciences 5 Journal of Differential Equations 5 Applied Mathematical Modelling 5 Applied Mathematical Finance 5 Quantitative Finance 4 Journal of Engineering Mathematics 4 Wave Motion 4 Journal of Computational and Applied Mathematics 4 Meccanica 4 Applied Mathematics Letters 4 International Journal of Theoretical and Applied Finance 4 Journal of Nonlinear Mathematical Physics 3 Journal of Statistical Planning and Inference 3 Mathematics and Computers in Simulation 3 Proceedings of the American Mathematical Society 3 Statistics & Probability Letters 3 Japan Journal of Applied Mathematics 3 Journal of Scientific Computing 3 European Journal of Applied Mathematics 3 Physics of Fluids 3 Mathematical Finance 3 Nonlinear Dynamics 3 The ANZIAM Journal 3 Nonlinear Analysis. Real World Applications 3 Journal of Applied Mathematics 2 Computers & Mathematics with Applications 2 Journal of Mathematical Biology 2 Mathematical Methods in the Applied Sciences 2 Chaos, Solitons and Fractals 2 Soviet Applied Mechanics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Studies in Applied Mathematics 2 Insurance Mathematics & Economics 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 Computational Mechanics 2 Journal of Economic Dynamics & Control 2 Differential Geometry and its Applications 2 Applications of Mathematics 2 European Journal of Operational Research 2 Journal of Non-Newtonian Fluid Mechanics 2 Test 2 Communications in Numerical Methods in Engineering 2 Journal of Mathematical Sciences (New York) 2 International Journal of Computer Vision 2 NoDEA. Nonlinear Differential Equations and Applications 2 Mathematical Methods of Operations Research 2 International Journal for Computational Methods in Engineering Science and Mechanics 1 Archive for Rational Mechanics and Analysis 1 Discrete Applied Mathematics 1 Ingenieur-Archiv 1 International Journal of Control 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 International Journal for Numerical Methods in Fluids 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Systems Science 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Physica A 1 Ukrainian Mathematical Journal 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal of Geometry and Physics 1 The Annals of Statistics 1 Applied Mathematics and Optimization 1 Illinois Journal of Mathematics 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of Econometrics 1 Journal of Functional Analysis 1 Kybernetika 1 Mathematische Annalen 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Ricerche di Matematica 1 SIAM Journal on Control and Optimization ...and 91 more Serials
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#### Cited in 39 Fields

 205 Mechanics of deformable solids (74-XX) 148 Partial differential equations (35-XX) 51 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 47 Fluid mechanics (76-XX) 46 Numerical analysis (65-XX) 39 Biology and other natural sciences (92-XX) 37 Statistics (62-XX) 24 Integral equations (45-XX) 24 Probability theory and stochastic processes (60-XX) 22 Ordinary differential equations (34-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 18 Differential geometry (53-XX) 17 Systems theory; control (93-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Operations research, mathematical programming (90-XX) 13 Operator theory (47-XX) 8 Information and communication theory, circuits (94-XX) 7 Special functions (33-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Computer science (68-XX) 5 Real functions (26-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX)