# Items where Subject is "74 Mechanics of deformable solids"

- MIMS Preprint Server Subjects (51)
- MSC 2010, the AMS's Mathematics Subject Classification (51)
**74 Mechanics of deformable solids**(51)

- MSC 2010, the AMS's Mathematics Subject Classification (51)

**51**.

## A

Abrahams, I.D. and Wickham, G.R.
(2002)
*On transient oscillations of plates in moving fluids.*
Wave Motion, 33 (1).
pp. 7-24.
ISSN 0165-2125

## B

Balbi, Valentina and Shearer, Tom and Parnell, William J.
(2018)
*A modified formulation of quasi-linear viscoelasticity for transversely isotropic materials under finite deformation.*
Proceedings of the Royal Society A, 474.
p. 20180231.
ISSN 1364-5021

Borsic, A. and Lionheart, W.R.B. and McLeod, C.N.
(2002)
*Generation of anisotropic-smoothness regularization filters for EIT.*
IEEE Transactions on Medical Imaging, 21 (6).
pp. 579-587.
ISSN 0278-0062

## C

Cates, M.E. and Fielding, S.M.
(2006)
*Rheology of giant micelles.*
Advances in Physics, 55 (7/8).
pp. 799-879.
ISSN 0001–8732

## D

De Pascalis, Riccardo and Abrahams, I. David and Parnell, William J.
(2014)
*On nonlinear viscoelastic deformations - a reappraisal of Fung's quasilinear viscoelastic model.*
submitted to Proceedings of the Royal Society A.
(Submitted)

De Pascalis, Riccardo and Abrahams, I. David and Parnell, William J.
(2012)
*Predicting the pressure-volume curve of an elastic microsphere composite.*
submitted to Journal of the Mechanics and Physics of Solids.
(Submitted)

De Pascalis, Riccardo and Napoli, Gaetano and Turzi, Stefano
(2013)
*Growth-induced blisters in a circular tube.*
submitted to Physica D: Nonlinear Phenomena.
(Submitted)

De Pascalis, Riccardo and Parnell, William J. and Abrahams, I. David and Shearer, Tom and Daly, Donna M.
(2018)
*The inflation of viscoelastic balloons and hollow viscera.*
Proceedings of the Royal Society A, 474.
p. 20180102.
ISSN 1364-5021

## E

Erbaş, Barış and Abrahams, I. David
(2007)
*Scattering of sound wave by an infinite grating composed of rigid plates.*
Wave Motion, 44 (4).
pp. 282-303.
ISSN 0165-2125

## F

Fielding, S.M.
(2007)
*Complex dynamics of shear banded flows.*
Soft Matter, 3.
1262 -1279.
ISSN 1744-683X
(In Press)

## G

Gray, J.M.N.T.
(2001)
*Granular flow in partially filled slowly rotating drums.*
Journal of Fluid Mechanics, 441.
pp. 1-29.
ISSN 0022-1120

Gray, J.M.N.T. and Chugunov, V.A.
(2006)
*Particle-size segregation and diffusive remixing in shallow granular avalanches.*
Journal of Fluid Mechanics, 569.
pp. 365-398.
ISSN 0022-1120

Gray, J.M.N.T. and Tai, Y.-C and Noelle, S
(2003)
*Shock waves, dead-zones and particle-free regions in rapid granular free surface flows.*
Journal of Fluid Mechanics, 491.
pp. 161-181.
ISSN 0022-1120

Gray, J.M.N.T. and Thornton, A.R.
(2005)
*A theory for particle size segregation in shallow granular free-surface flows.*
Proceedings of the Royal Society A, 461.
pp. 1447-1473.
ISSN 1364-5021

Gray, JMNT and Shearer, M and Thornton, AR
(2006)
*Time-dependent solutions for particle size segregation in shallow granular avalanches.*
Proceedings of the Royal Society A, 462.
pp. 947-972.
ISSN 1364-5021

Gray, JMNT and Thornton, AR
(2005)
*A theory for particle size segregation in shallow granular free-surface flows.*
Proceedings of the Royal Society A, 461.
pp. 1447-1473.
ISSN 1364-5021

Green, Ross and Abrahams, I. David and Fusai, Gianluca
(2007)
*Pricing financial claims contingent upon an underlying asset monitored at discrete times.*
Journal of Engineering Mathematics, 59 (4).
pp. 373-384.
ISSN 1573-2703
(In Press)

## H

Harris, D.
(2001)
*Characteristic relations for a model for the flow of granular materials.*
Mathematical, Physical and Engineering Sciences, 457 (2006).
pp. 347-370.
ISSN 1471-2946

Harris, D.
(2001)
*Ill and well-posed models of granular flow.*
Acta Mechanica, 146 (3-4).
pp. 199-225.
ISSN 1619-6937

Harris, D. and Grekova, E.F.
(2005)
*A hyperbolic well-posed model for the flow of granular materials.*
Journal of Engineering Mathematics, 52 (1).
pp. 107-135.
ISSN 0022-0833

Harter, R. and Abrahams, I. David and Simon, M. J.
(2007)
*The effect of surface tension on trapped modes in water-wave problems.*
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 463 (2088).
pp. 3131-3149.
ISSN 1471-2946
(In Press)

Hogg, AJ and Gray, JMNT and Cui, X
(2005)
*Granular Vacua.*
In:
Powders and Grains 2005.
A.A. Balkema, Rotterdam, pp. 929-933.
ISBN 041538348X

## J

Jiang, M.J. and Harris, D. and Yu, H.S.
(2005)
*Kinematic models for non-coaxial granular materials. Part I: theory.*
International Journal for Numerical and Analytical Methods in Geomechanics, 29 (7).
pp. 643-661.
ISSN 0363-9061

Jiang, M.J. and Harris, D. and Yu, H.S.
(2005)
*Kinematic models for non-coaxial granular materials. Part II: evaluation.*
International Journal for Numerical and Analytical Methods in Geomechanics, 29 (7).
pp. 663-689.
ISSN 0363-9061

## L

Lancaster, Peter
(2006)
*Model-Updating for Symmetric Quadratic Eigenvalue Problems.*
[MIMS Preprint]

Lawrie, Jane B. and Abrahams, I. David
(2007)
*A brief historical perspective of the Wiener-Hopf technique.*
Journal of Engineering Mathematics, 59 (4).
pp. 351-358.
ISSN 1573-2703
(In Press)

## O

Owen, G. W. and Abrahams, David
(2006)
*Elastic wave radiation from a high frequency finite-length transducer.*
Journal of Sound and Vibration, 298 (1-2).
pp. 108-131.
ISSN 0022-460X

Owen, G. W. and Willmott, A. J. and Abrahams, David
(2006)
*Scattering of barotropic Rossby waves by the Antarctic Circumpolar Current.*
Journal of Geophysical Research, 111 (C12024).
pp. 1-14.
ISSN 0148-0227

Owen, G.W. and Abrahams, I.D. and Willmott, A.J. and Hughes, C.W.
(2002)
*On the scattering of baroclinic Rossby waves by a ridge in a continuoisly stratified ocean.*
Journal of Fluid Mechanics, 465.
pp. 131-155.
ISSN 0022-1120

## P

Parnell, William J
(2005)
*Coupled thermoelasticity in a composite half-space.*
Journal of Engineering Mathematics.
ISSN 0022-0833
(In Press)

Parnell, William J
(2007)
*Effective wave propagation in a prestressed nonlinear elastic composite bar.*
IMA Journal of Applied Mathematics, 72 (2).
pp. 223-244.
ISSN 1464-3634

Parnell, William J and Abrahams, I David
(2005)
*Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves.*
Wave Motion, 43 (6).
pp. 474-498.
ISSN 0165-2125
(In Press)

Parnell, William J.
(2015)
*The Hill and Eshelby tensors for ellipsoidal inhomogeneities in
the Newtonian potential problem and linear elastostatics.*
[MIMS Preprint]

Parnell, William J.
(2012)
*Nonlinear pre-stress for cloaking from antiplane elastic waves.*
Proceedings of the Royal Society, 468 (2138).
pp. 563-580.

Parnell, William J. and Norris, Andrew N. and Shearer, Tom
(2012)
*Employing pre-stress to generate finite cloaks for antiplane elastic waves.*
Applied Physics Letters.
(In Press)

Parnell, William J. and Shearer, Tom
(2013)
*Antiplane elastic wave cloaking using metamaterials, homogenization and hyperelasticity.*
Wave Motion, 50.
pp. 1140-1152.
ISSN 0165-2125

Polydorides, N. and Lionheart, W.R.B. and McCann, H.
(2002)
*Krylov subspace iterative techniques: on the detection of brain activity with electrical impedance tomography.*
IEEE Transactions on Medical Imaging, 21 (6).
pp. 596-603.
ISSN 0278-0062

## S

Shearer, Tom
(2015)
*A new strain energy function for modelling ligaments and tendons whose fascicles have a helical arrangement of fibrils.*
Journal of Biomechanics.
ISSN 0021-9290
(In Press)

Shearer, Tom
(2015)
*A new strain energy function for modelling ligaments and tendons whose fascicles have a helical arrangement of fibrils.*
Journal of Biomechanics, 48.
pp. 3017-3025.
ISSN 0021-9290

Shearer, Tom
(2014)
*A new strain energy function for the hyperelastic modelling of ligaments and tendons based on fascicle microstructure.*
Journal of Biomechanics.
ISSN 0021-9290

Shearer, Tom
(2014)
*A new strain energy function for the hyperelastic modelling of ligaments and tendons based on fascicle microstructure.*
Journal of Biomechanics, 48.
pp. 290-297.
ISSN 0021-9290

Shearer, Tom and Abrahams, I. David and Parnell, William J. and Daros, Carlos H.
(2013)
*Torsional wave propagation in a pre-stressed hyperelastic annular circular cylinder.*
The Quarterly Journal of Mechanics and Applied Mathematics, 66 (4).
pp. 465-487.

Shearer, Tom and Parnell, William J. and Abrahams, I. David
(2015)
*Antiplane wave scattering from a cylindrical cavity in pre-stressed non-linear elastic media.*
Proceedings of the Royal Society A.
ISSN 1471-2946

Szotten, David and Lionheart, William RB and Tomlinson, Rachel A
(2006)
*Tomographic reconstruction of stress from photoelastic measurements using elastic regularization.*
[MIMS Preprint]

Szotten, David and Lionheart, William RB and Tomlinson, Rachel A
(2006)
*Tomographic reconstruction of stress from photoelastic measurements using elastic regularization.*
[MIMS Preprint]

## T

Tai, Y.-C. and Noelle, S. and Gray, J.M.N.T.
(2002)
*Shock capturing and front tracking methods for granular avalanches.*
Journal of Computational Physics, 175.
pp. 269-301.
ISSN 0021-9991

Thompson, I. and Abrahams, I.D. and Norris, A.N.
(2002)
*On the existence of flexural edge waves on thin orthotopic plates.*
Journal of the Acoustical Society of America, 112 (5).
pp. 1756-1765.
ISSN 0001-4966

Thornton, AR and Gray, JMNT and Hogg, AJ
(2006)
*A three-phase mixture theory for particle size segregation in shallow granular free-surface flows.*
Journal of Fluid Mechanics, 550.
pp. 1-25.
ISSN 0926-5112

## W

Willoughby, Natasha and Parnell, William J. and Hazel, Andrew L. and Abrahams, I David
(2011)
*Homogenization Methods to Approximate the
Effective Response of Random
Fibre-reinforced Composites.*
International Journal of Solids and Structures.
(In Press)

## Z

Ziyalder, Y. and Onart, Serkan and Lionheart, W. R. B.
(2003)
*Uniqueness and reconstruction in magnetic resonance - electrical impedance tomography (MR - EIT).*
Physiological Measurement, 24 (2).
pp. 591-604.
ISSN 0967-3334

Zuriguel, I. and Gray, J.M.N.T. and Peixinho, J. and Mullin, T.
(2006)
*Pattern selection by a granular wave in a rotating drum.*
Physics Review E, 73 (061302).
pp. 1-4.
ISSN 1539-3755