Imperial College London

Emeritus ProfessorColinAtkinson

Faculty of Natural SciencesDepartment of Mathematics

Emeritus Professor
 
 
 
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Contact

 

+44 (0)20 7594 8497c.atkinson

 
 
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Location

 

671Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Publication Type
Year
to

307 results found

ATKINSON C, BASTERO JM, MARTINEZESNAOLA JM, 1988, STRESS-ANALYSIS IN SHARP ANGULAR NOTCHES USING AUXILIARY FIELDS, ENGINEERING FRACTURE MECHANICS, Vol: 31, Pages: 637-646, ISSN: 0013-7944

Journal article

ATKINSON C, 1988, STEADY TEMPERATURE-FIELDS ASSOCIATED WITH A MOVING ROD IN A MEDIUM WITH NONLINEAR THERMAL-CONDUCTIVITY, INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Vol: 26, Pages: 1071-1085, ISSN: 0020-7225

Journal article

Peltier B, Atkinson C, 1987, DYNAMIC PORE PRESSURE AHEAD OF THE BIT., SPE Drilling Engineering, Vol: 2, Pages: 351-358, ISSN: 0885-9744

An analytic approach is presented in an attempt to improve the understanding of the mechanism of pore-pressure invasion ahead of the bit during drilling. An axisymmetric model accounts for a zone of damaged permeability (skin) on the work front. The effect of rate of penetration (ROP) and rotation speed on the pore pressure at the depth of cut is significant in the lower range of permeabilities, while for the high permeabilities, the skin has an overwhelming control on the pressure invasion.

Journal article

Atkinson C, 1987, Some problems associated with some current non-local theories of elasticity., Continuum Models of Discrete Systems, Editors: Spencer, Pages: 85-89

Book chapter

ATKINSON C, 1987, STEADY PORE PRESSURE PROFILES SURROUNDING AN ADVANCING WELL BORE, INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Vol: 25, Pages: 511-530, ISSN: 0020-7225

Journal article

Atkinson C, Hammond PS, Sheppard M, Sobey IJet al., 1987, Some mathematical problems arising from the oil service industry, Non-Classical Continuum Mechanics, Editors: Knops, Lacey

Book chapter

ATKINSON C, 1986, THE CRACK PROBLEM FOR BONDED NONHOMOGENEOUS MATERIALS UNDER ANTIPLANE SHEAR LOADING, JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, Vol: 53, Pages: 729-729, ISSN: 0021-8936

Journal article

ATKINSON C, 1986, CHARACTERISTICS OF THE ELASTIC FIELD OF A RIGID LINE INHOMOGENEITY, JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, Vol: 53, Pages: 729-729, ISSN: 0021-8936

Journal article

Peltier B, Atkinson C, 1986, DYNAMIC PORE PRESSURE AHEAD OF THE BIT.

This paper shows that the pore pressure ahead of the bit is dynamically controlled in almost the entire range of drilling conditions. A simple expression has been derived which accounts for the most influential phenomena. The direct rotation speed effect was modeled for the planar case. Skin transmissibility is considered constant although it is known from experimental results that it does vary with the flux of filtrate across the work-front, rate of penetration, rotation speed, jetting, rock characteristics (pore size and permeability) and mud properties (particles size distribution, filtrate viscosity).

Conference paper

ATKINSON C, 1986, STEADY PORE PRESSURE PROFILES ASSOCIATED WITH A MOVING TRENCH, INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Vol: 24, Pages: 1681-1695, ISSN: 0020-7225

Journal article

ATKINSON C, BASTERO JM, MIRANDA I, 1986, PATH-INDEPENDENT INTEGRALS IN FRACTURE DYNAMICS USING AUXILIARY FIELDS, ENGINEERING FRACTURE MECHANICS, Vol: 25, Pages: 53-62, ISSN: 0013-7944

Journal article

ATKINSON C, 1986, SOME MOVING BOUNDARY-PROBLEMS FOR A GENERALIZED DIFFUSION EQUATION, INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Vol: 24, Pages: 493-512, ISSN: 0020-7225

Journal article

ATKINSON C, 1986, RECIPROCAL THEOREMS FOR SELF-SIMILAR WEDGE AND CRACK PROBLEMS AND SOME GENERALIZATIONS, INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Vol: 24, Pages: 939-951, ISSN: 0020-7225

Journal article

CHAMPION CR, ATKINSON C, 1986, ON THE INTERACTION BETWEEN A DISLOCATION AND A CRACK IN A MATERIAL WITH A NONLINEAR STRESS-STRAIN LAW, JOURNAL OF ELASTICITY, Vol: 16, Pages: 349-365, ISSN: 0374-3535

Journal article

Atkinson C, 1985, INVARIANT INTEGRALS FOR SOME TIME DEPENDENT CRACK AND HEAT CONDUCTION PROBLEMS., Pages: 203-216

A formalism based on the energy momentum tensor is used to derive invariant integrals for steady state crack propagation, dynamically similar expanding cracks and other dynamically similar anti-plane strain problems. Invariant integrals of the 'reciprocal equation' type are also given for dynamically similar elasticity and certain heat conduction problems. It is suggested that these integrals can be useful as ancillary tools for special stress analysis problems.

Conference paper

ATKINSON C, 1985, ON EXPLICIT FORMULAS FOR THE ROOTS OF A CLASS OF TRANSCENDENTAL EQUATIONS, IMA JOURNAL OF APPLIED MATHEMATICS, Vol: 35, Pages: 327-338, ISSN: 0272-4960

Journal article

Atkinson C, 1985, Asymptotic methods applied to problems of diffusion, crack propagation and crack tip stress analysis, Mathematical Models and Methods in Mechanics, Banach Center Publications, Vol: 15, Pages: 7-48

Journal article

CHAMPION CR, ATKINSON C, 1985, SOME SCREW-DISLOCATION AND POINT-FORCE INTERACTIONS WITH BOUNDARIES FOR NONLINEAR POWER-LAW MATERIALS, QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, Vol: 38, Pages: 461-483, ISSN: 0033-5614

Journal article

Atkinson C, 1985, Asymptotic methods applied to problems of diffusion, crack propagation and crack tip stress analysis, Mathematical Models and Methods in Mechanics, Banach Center Publications, Vol: 15, Pages: 7-48

Journal article

ATKINSON C, CHAMPION CR, 1985, A BOUNDARY INTEGRAL-EQUATION FORMULATION FOR PROBLEMS INVOLVING NONLINEAR POWER-LAW MATERIALS, IMA JOURNAL OF APPLIED MATHEMATICS, Vol: 35, Pages: 23-38, ISSN: 0272-4960

Journal article

Atkinson C, 1984, FRACTURE MECHANICS STRESS ANALYSIS I (BIE FOR CRACK TIP STRESS ANALYSIS)., Pages: 355-376, ISSN: 0168-132X

The Chapter begins with a brief recap of the standard boundary integral equation (B. I. E. ) formulation for elastotatics and outlines the difficulty with direct modelling of cracks by B. I. E. It then briefly reviews fracture mechanics terminology, and various integral equation formulations are discussed. Subjects covered include stress intensity factors, crack tip stress analysis, crack geometry, and others. Refs.

Conference paper

Atkinson C, 1984, FRACTURE MECHANICS STRESS ANALYSIS II (AUXILIARY RESULTS; A NUMERICAL EXAMPLE, AND PROBLEMS OF DEBOND STRESS ANALYSIS)., Pages: 377-397, ISSN: 0168-132X

Different methods for stress singularity modelling will be outlined and compared on a model problem, that of a crack under longitudinal shear (anti-plane strain) where the governing equation is Laplace's equation. Invariant integrals are described which can be useful in deducing values of stress intensity factors from numerical information far from the crack tip. The Chapter also describes a problem of debond stress analysis and indicates how the methods outlined, together with other analytic information, in certain cases could be used to give an accurate description of a debonding event. Refs.

Conference paper

ATKINSON C, ESHELBY JD, 1984, THE FLOW OF ENERGY INTO THE TIP OF A MOVING CRACK, INTERNATIONAL JOURNAL OF FRACTURE, Vol: 26, Pages: 316-321, ISSN: 0376-9429

Journal article

ATKINSON C, CHAMPION CR, 1984, SOME BOUNDARY-VALUE-PROBLEMS FOR THE EQUATION DEL.(/DEL-PHI/N-DEL-PHI)=0, QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, Vol: 37, Pages: 401-419, ISSN: 0033-5614

Journal article

Atkinson C, 1983, FRACTURE MECHANICS STRESS ANALYSIS., Progress in Boundary Element Methods, Vol: 2, Pages: 53-100

The boundary integral equations (BIE) method is discussed with particular reference to its application to fracture mechanics stress analysis. Although the BIE method has been used to treat a variety of boundary value problems, those encountered in fracture mechanics possess certain unique features which require special treatment. There are essentially two distinct difficulties which are encountered when applying standard BIE procedures to fracture models in which a crack is modeled as having a planform of zero thickness (e. g. , a line crack in two dimensions).

Journal article

ATKINSON C, LEPPINGTON FG, 1983, THE ASYMPTOTIC SOLUTION OF SOME INTEGRAL-EQUATIONS, IMA JOURNAL OF APPLIED MATHEMATICS, Vol: 31, Pages: 169-182, ISSN: 0272-4960

Journal article

BOUILLET JE, ATKINSON C, 1983, A GENERALIZED DIFFUSION EQUATION - RADIAL SYMMETRIES AND COMPARISON-THEOREMS, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Vol: 95, Pages: 37-68, ISSN: 0022-247X

Journal article

Enomoto M, Aaronson HI, Avila J, Atkinson Cet al., 1982, INFLUENCE OF DIFFUSIONAL INTERACTIONS AMONG LEDGES ON THE GROWTH KINETICS OF INTERPHASE BOUNDARIES., Pages: 567-571

Conference paper

Atkinson C, Avila J, 1982, A comparison of exact and model solutions for the initiation of debond fracture, International Journal of Engineering Science, Vol: 21, Pages: 1053-1059, ISSN: 0090-6913

Debonding of a rigid rod from a compressible elastic matrix is considered. A simple model for the initiation of debond fracture is given and comparisons between this simple model and an exact analysis is made.

Journal article

ATKINSON C, 1982, GROWTH KINETICS OF LEDGES DURING PHASE TRANSFORMATIONS: MULTISTEP INTERACTIONS., PROC R SOC LONDON SER A, Vol: V 384, Pages: 107-133, ISSN: 0080-4630

AN ANALYSIS OF THE GROWTH CHARACTERISTICS OF A TRAIN OF LEDGES IS PRESENTED, WHERE VOLUME DIFFUSION IN THE PARENT PHASEIS ASSUMED TO BE THE RATE-CONTROLLING FACTOR. FIRST A TRAINOF STEPS OF UNEQUAL HEIGHT IS CONSIDERED WHERE THE STEP HEIGHTS ARE ASSUMED TO BE CONSISTENT WITH A STEADY-STATE MOTIONSO THAT EACH STEP MOVES WITH THE SAME SPEED. IT IS POSSIBLETO ANALYZE THE SITUATION BY ASYMPTOTIC METHODS WHEN THE STEPS ARE EITHER FAR APART OR CLOSE TOGETHER.

Journal article

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