A Free Boundary Problem of a Real Option Model

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A comparison of exact and model solutions for the initiation of debond fracture

A generalized diffusion equation: Radial symmetries and comparison theorems

A mathematical method for the calculation of ledge growth kinetics

A moving crack problem in a viscoelastic solid

A nonlinear, anisotropic and axisymmetric model for balloon angioplasty

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A note on crack problems in power-law elastic materials and contact problems in non-linear creep

A numerical solution of the diffusion equation resulting from the void theory of the trapping of hydrogen in iron and steel

A possible way of estimating options with stable distributed underlying asset prices

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A remark on non-local theories of elasticity, piezoelectric materials etc

A semi-analytical model for predicting the flow into a wellbore completed by inflow control devices

A simple approximation for calculating the effect of inclusions on fracture

article by Colin Atkinson published July 1971 in Scripta Metallurgica

A simple model of relaxation at a crack tip

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A simple representation of crack tip plasticity: the inclined strip yield superdislocation model

article by Colin Atkinson & M. F. Kanninen published April 1977 in International Journal of Fracture

A theoretical model for capacitance measurement of liquid films in an annular flow

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An inverse boundary problem for the steady-diffusion equation with moving boundaries with applications to the pearlite–austenite transformation in steel

An iterative scheme for solving problems relating to cracks opening under a displacement-dependent internal stress

Analysis of a flat annular-shaped diaphragm for use in a down-hole pressure transducer

Antiplane crack problems for an inhomogeneous elastic material

Antiplane dynamic crack propagation in a viscoelastic strip

Application of an inclined-strip-yield crack tip plasticity model to predict constant amplitude fatigue crack growth

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Boundary elements and fracture stress analysis

Boundary integral equation crack-tip analysis and applications to elastic media with spatially varying elastic properties

Building an Optimal Portfolio in Discrete Time in the Presence of Transaction Costs

Cleaving the Halqeh-ye-nur diamonds: a dynamic fracture analysis

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Coating cracks in materials with general anisotropy

Comparison of models for redistribution of dopants in silicon during thermal oxidation

Complementary variational principles for generalized dynamic continuum models

Contact mechanics: a review and some applications

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Couple stresses and the fracture of rock

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Crack tip stress intensities in viscoelastic anisotropic bimaterials and the use of the M-integral

Crack tip stress singularities and dislocation interactions with anisotropic viscoelastic bimaterial interfaces

Diffusion controlled ledge growth in a medium of finite extent

Diffusion-controlled growth in ternary systems

Diffusion-controlled growth of disordered interphase boundaries in finite matrix

Diffusion-controlled kink motion

Diffusion‐Controlled Growth of an Array of Plates

Discrete-space time-fractional processes

Double knock-out Asian barrier options which widen or contract as they approach maturity

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Dynamic Portfolio Optimization in Discrete-Time with Transaction Costs

Dynamic crack propagation in a viscoelastic strip

Flow Performance of Perforated Completions

Flow of a nematic liquid crystal near the leading edge of an infinite prism

Fluid reaction on a vibrating disc in a viscous medium

Fracture in fully coupled dynamic thermoelasticity

scientific article published in October 1992

Fracture stress analysis: Some “practical” examples

Indentation at a bimaterial interface: the line force solution

Influence of pore pressure on the drilling response in low-permeability shear-dilatant rocks

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Interaction between a crack and a free or welded boundary in media with arbitrary anisotropy

Interfacial fracture in elastic diffusive media

Interfacial fracture of a radially inhomogeneous elastic bimaterial

Intertemporal portfolio optimization with small transaction costs and stochastic variance

Invariant integrals applied to nematic liquid crystals with small Ericksen number and topological defects

Invariant integrals for thermo-viscoelasticity and applications

Method to Calculate the Effect of a Concentration‐Dependent Diffusion Coefficient on the Linear Growth of Rods and Plates

Modelling reaustenitisation from ferrite/cementite mixtures in FeC steels

Moving boundary problems for time fractional and composition dependent diffusion

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Multi‐asset portfolio optimization with transaction cost

Non-linear diffusion controlled particle growth—A variational and asymptotic approach

Numerical and analytical solutions for the problem of hydraulic fracturing from a cased and cemented wellbore

On a connection between certain semi-infinite and finite crack problems

On certain singular integral equations arising in the analysis of wellbore recharge in anisotropic formations

On cracks against interfaces

On cracks and screw dislocation pile ups crossing a bimaterial interface

On dislocation densities and stress singularities associated with cracks and pile ups in inhomogeneous media

article published in 1972

On interface dislocations between dissimilar materials with non-linear stress–strain laws (Plane strain)

On interface dislocations between dissimilarmaterials with non-linear stress–strain laws (mode 3analysis)fn2fn2Dedicated to the memory of ChrisChampion

On quasistatic problems of cracks in a non-homogeneous elastic layer

On some crack problems in anisotropic thermoelasticity

On some integral equations arising in elastic bimaterial problems

On some integral equations arising in the pressure analysis of inclined wells in anisotropic formations

On some two dimensional: potential and elastic problems involving a small parameter

On stress singularities and interfaces in linear elastic fracture mechanics

On the dynamic stress and displacement field associated with a crack propagating across the interface between two media

On the interaction between a dislocation and a crack in a material with a nonlinear stress-strain law

On the solution of the problem of a relaxed expanding penny-shaped crack

On the stress intensity factors associated with cracks interacting with an interface between two elastic media

On the use of betti's reciprocal theorem for computing the coefficients of stress singularities in anisotropic media

On the use of dugdale type models in anti-plane strain

Optimization ofN-risky asset portfolios with stochastic variance and transaction costs

Orientational director effects in nematic liquid crystals with small Ericksen number

scientific article published in 2006

Orientational relaxation and flow near boundaries in nematic liquid crystals

Path-independent integrals in fracture dynamics using auxiliary fields

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Plane dynamic crack propagation in a non-homogeneous viscoelastic strip

Prediction of branching (or relaxation) angle in anisotropic or isotropic elastic bimaterials with rigid substrate

Pricing a European Basket Option in the Presence of Proportional Transaction Costs

Rational Solutions for the Time-Fractional Diffusion Equation

Reciprocal and related theorems for nematic liquid crystals

Reciprocal theorems for self-similar wedge and crack problems and some generalisations

Relative growth kinetics of ledged and disordered interphase boundaries

article published in 1973

Report on panel discussion II: Critical problems in the mathematics of ledgewise growth

Representation of Crack-Tip Plasticity in Pressure Sensitive Geomaterials: Large Scale Yielding

article by Panos Papanastasiou et al published May 2006 in International Journal of Fracture

Shear cracks in thermoplastic and poroelastic media

Some boundary value problems for the Bingham model

Some calculations of the energy-release rate G for cracks in micropolar and couple-stress elastic media

Some elementary solutions of the heat equation and related equations

Some moving boundary problems for a generalised diffusion equation

Some results on crack propagation in media with spatially varying elastic moduli

Some ribbon-like inclusion problems

Steady pore pressure profiles associated with a moving trench

Steady pore pressure profiles surrounding an advancing well bore

Steady state crack propagation into media with spatially varying elastic properties

Steady temperature fields associated with a moving rod in a medium with nonlinear thermal conductivity

Stress analysis in sharp angular notches using auxiliary fields

Stress singularities in angular sectors of viscoelastic media

The Effect of Correlation and Transaction Costs on the Pricing of Basket Options

The Rayleigh problem for nematic liquid crystals

The Rayleigh problem for nematic liquid crystals. Short time solution

The development of a general fatigue crack growth predictive model

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The effect of couple stresses on the tip of a crack

The effect of the concentration-dependent diffusivity of carbon in austenite on a model of reaustenitisation from ferrite/cementite mixtures in FeC steels

The finite deformation of a reinforced packer, membrane theory

The flow of energy into the tip of a moving crack

The flow of energy into the tip of a moving crack

The fracture mechanics of flint-knapping and allied processes

The frequency response of a rectangular cantilever plate vibrating in a viscous fluid

The influence of anisotropy and crystalline slip on relaxation at a crack tip

The influence of concentration-dependent diffusivity on the growth kinetics of individual ledges during solid–solid phase transformations

The influence of elastic anisotropy on the propagation of fracture

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 IIIanalysis

The influence of layer thickness on the stress intensity factor of a penny-shaped crack in a sandwiched viscoelastic bimaterial

The influence of perceived stock value price histories in the mean–variance-instability model

The interaction between a crack and an inclusion

The interaction between a dislocation and a crack

The interaction between the wellbore and pre-existing fractures

The interface crack with a contact zone

The propagation of fracture in aeolotropic materials

The rod pull out problem, theory and experiment

The stress analysis of thin contact layers: a singular perturbation method for integral equations

scientific article published in 2008

The treatment of singularities in the calculation of stress intensity factors using the boundary integral equation method

Theoretical aspects of fracture mechanics

Theory for reaustenitisation from ferrite/cementite mixtures in Fe-C-X steels

Theory of optimal consumption and portfolio selection under a Capital-at-Risk (CaR) and a Value-at-Risk (VaR) constraint

article by Colin Atkinson published 1 January 2005 in IMA Journal of Management Mathematics

Transient pressure response in an anisotropic formation

Use of path-independent integral for mixed-mode fast crack propagation in uncoupled thermoelastic media

Variational principles developed for and applied to porous-elastic solids

Volterra Dislocations in Power Law Elastic Materials

article published in 1991

“EXACT” SOLUTION OF A MODEL PROBLEM FOR THE COUPLED THERMOELASTIC EQUATIONS WITH NONSMALL TEMPERATURE CHANGES