Biography
I obtained a BSc in Mathematics and Mechanics (1982) from Central South University, China, and an MSc (1986) and a PhD (1988) in Theoretical Mechanics both from the University of East Anglia and supervised by Dr. Nigel Scott. I then spent three years in Exeter University as a post-doctoral research fellow working with Prof. Philip Hall on a US Air Force funded project. In 1991 I was appointed to a Lectureship at the University of Manchester. Six year later, I moved to Keele University as a Senior Lecturer. I was promoted to Reader in 1999 and became Professor of Applied Mathematics in 2001.
Research and scholarship
I view myself as a typical applied mathematician and I work in the general area of solid mechanics. My main research interest is in characterizing linear and nonlinear elastic waves and stability/bifurcation of pre-stressed elastic solids and structures. Studies of elastic waves have important applications in signal processing, seismology and non-destructive testing, whereas stability/bifurcation analysis has applications in assessing the integrity of structures under stress and in the design of smart materials and structures. My recent contributions include (i) resolution of a long-standing dispute concerning the derivation of evolution equations for nonlinear surface acoustic waves, (ii) a Hamiltonian interpretation of the well-known Stroh formalism which provides the necessary framework for extending the Stroh formalism to other situations such as plate bending, (iii) further insight into the problem of localized bulging in inflated membrane tubes which has applications in aneurysm modelling, and (iv) derivation of an explicit initiation condition for localized bulging in an inflated cylindrical tube of arbitrary thickness, which can be used to precisely characterize the effects of bending stiffness and fibre-reinforcement, and to assess how good the membrane theory is.
Scholarship: I am a co-Editor for
(1) Journal of Mechanics of Materials and Structures,
and an editorial board member of
(2) Proceedings of the Royal Society A
(3) Acta Mechanica Solida Sinica,
(4) International Journal of Applied Mechanics,
(5) Acta Mechanica Sinica,
(6) Mechanics of Soft Materials,
(7) Forces in Mechanics,
(8) Applications in Engineering Science,
(9) Mathematics and Mechanics of Solids
I served as a Joint Editor-in-Chief of the IMA Journal of Applied Mathematics between 2005-2018.
Teaching
- MAT-30003: Partial Differential Equations
- MAT-40012: Continuum Mechanics
Selected Publications
-
Necking, beading, and bulging in soft elastic cylinders. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, Article ARTN 104250, vol. 147. link> doi> full text>2021.
-
Reduced model for the surface dynamics of a generally anisotropic elastic half-space. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Article ARTN 20190590, vol. 476(2234). link> doi> full text>2020.
-
Localized necking of a dielectric membrane. EXTREME MECHANICS LETTERS, 44-48, vol. 21. link> doi> full text>2018.
-
Localized bulging in an inflated cylindrical tube of arbitrary thickness - the effect of bending stiffness. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 45-60, vol. 90. link> doi> full text>2016.
-
Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow. MATHEMATICS AND MECHANICS OF SOLIDS, 1198-1214, vol. 20(10). link> doi> full text>2015.
Full Publications Listshow
Books
-
Nonlinear elasticity. Cambridge Univ Pr.2001.
Journal Articles
-
A one-dimensional model for axisymmetric deformations of an inflated hyperelastic tube of finite wall thickness. Journal of the Mechanics and Physics of Solids, 105276, vol. 175. doi> full text>2023.
-
Axisymmetric necking of a circular electrodes-coated dielectric membrane. Mechanics of Materials, 104645. doi> full text>2023.
-
Localized bulging of an inflated rubber tube with fixed ends. Philos Trans A Math Phys Eng Sci, 20210318, vol. 380(2234). link> doi> full text>2022.
-
A refined model for the buckling of film/substrate bilayers. MATHEMATICS AND MECHANICS OF SOLIDS. link> doi> full text>2022.
-
In memory of Prof. Hui-Hui Dai Obituary. MATHEMATICS AND MECHANICS OF SOLIDS, 1361-1369, vol. 27(8). link> doi> full text>2022.
-
An analytic derivation of the bifurcation conditions for localization in hyperelastic tubes and sheets. Zeitschrift für angewandte Mathematik und Physik, Article 116, vol. 73(3). doi> link> full text>2022.
-
Axisymmetric necking versus Treloar-Kearsley instability in a hyperelastic sheet under equibiaxial stretching. MATHEMATICS AND MECHANICS OF SOLIDS, 1610-1631, vol. 27(8). link> doi> full text>2022.
-
Post-bifurcation behaviour of elasto-capillary necking and bulging in soft tubes. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Article ARTN 20210311, vol. 477(2254). link> doi> full text>2021.
-
On propagation of waves in pressurized fiber-reinforced hyperelastic tubes based on a reduced model. JOURNAL OF SOUND AND VIBRATION, Article ARTN 116476, vol. 515. link> doi> full text>2021.
-
Localised bifurcation in soft cylindrical tubes under axial stretching and surface tension. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 23-33, vol. 219. link> doi> full text>2021.
-
Post-buckling of an elastic half-space coated by double layers. MATHEMATICS AND MECHANICS OF SOLIDS, Article ARTN 10812865211010886. link> doi> full text>2021.
-
Elasto-capillary circumferential buckling of soft tubes under axial loading: existence and competition with localised beading and periodic axial modes. Mechanics of Soft Materials, Article 3, vol. 3(1). doi> link> full text>2021.
-
Necking of a hyperelastic solid cylinder under axial stretching: Evaluation of the infinite-length approximation. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Article ARTN 103432, vol. 159. link> doi> full text>2021.
-
Necking, beading, and bulging in soft elastic cylinders. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, Article ARTN 104250, vol. 147. link> doi> full text>2021.
-
Wrinkling of a compressed hyperelastic half-space with localized surface imperfections. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, Article ARTN 103576, vol. 126. link> doi> full text>2020.
-
Preface to a special feature dedicated to the memory of Prof. Peter Chadwick FRS. Proc Math Phys Eng Sci, 20200615, vol. 476(2240). link> doi> full text>2020.
-
Characterization and dynamical stability of fully nonlinear strain solitary waves in a fluid-filled hyperelastic membrane tube. ACTA MECHANICA, 4095-4110, vol. 231(10). link> doi> full text>2020.
-
A refined dynamic finite-strain shell theory for incompressible hyperelastic materials: equations and two-dimensional shell virtual work principle. Proc Math Phys Eng Sci, 20200031, vol. 476(2237). link> doi> full text>2020.
-
Biomedical Applications of Wrinkling Polymers. Recent Progress in Materials, 1-31, vol. 2(1). doi> link> full text>2020.
-
Reduced model for the surface dynamics of a generally anisotropic elastic half-space. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Article ARTN 20190590, vol. 476(2234). link> doi> full text>2020.
-
Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, Article ARTN 103804, vol. 135. link> doi> full text>2020.
-
Effects of pre-stretch, compressibility and material constitution on the period-doubling secondary bifurcation of a film/substrate bilayer. International Journal of Non-Linear Mechanics, 11-19, vol. 115. doi> full text>2019.
-
Special issue of Wave Motion - "Nonlinear waves in solids: In memory of Alexander M. Samsonov". WAVE MOTION, Article ARTN 102379, vol. 92. link> doi> full text>2020.
-
An experimental study of localized bulging in inflated cylindrical tubes guided by newly emerged analytical results. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 536-554, vol. 124. link> doi> full text>2019.
-
A reduced model for electrodes-coated dielectric plates. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 60-69, vol. 106. link> doi> full text>2018.
-
An evaluation of the Gent and Gent-Gent material models using inflation of a plane membrane. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 39-48, vol. 146. link> doi> full text>2018.
-
Nonlinear tubular organ modeling and analysis for tracheal angioedema by swelling-morphoelasticity. JOURNAL OF ENGINEERING MATHEMATICS, 95-117, vol. 112(1). link> doi> full text>2018.
-
Localized necking of a dielectric membrane. EXTREME MECHANICS LETTERS, 44-48, vol. 21. link> doi> full text>2018.
-
Localized bulging of rotating elastic cylinders and tubes. Journal of Mechanics of Materials and Structures, 545-561, vol. 12(4). doi> link> full text>2017.
-
Loocalized bulging of rotating elastic cylinders and tubes. Journal of Mechanics of Materials and Structures, 545-561, vol. 12(4). link> doi> link> full text>2017.
-
On the near-critical behavior of cavitation in elastic plane membranes. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 47-52, vol. 93. link> doi> full text>2017.
-
Effect of double-fibre reinforcement on localized bulging of an inflated cylindrical tube of arbitrary thickness. JOURNAL OF ENGINEERING MATHEMATICS, 21-30, vol. 109(1). link> doi> full text>2018.
-
Edge wrinkling in elastically supported pre-stressed incompressible isotropic plates. Proceedings. Mathematical, physical, and engineering sciences, 20160410, vol. 472(2193). doi> link> full text>
- 2002.
- 1997.
-
Localized bulging in an inflated cylindrical tube of arbitrary thickness - the effect of bending stiffness. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 45-60, vol. 90. link> doi> full text>2016.
-
Shape bifurcation of a pressurized ellipsoidal balloon. International Journal of Engineering Science. doi> full text>2016.
-
Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow. MATHEMATICS AND MECHANICS OF SOLIDS, 1198-1214, vol. 20(10). link> doi> full text>2015.
-
Bifurcation of a dielectric elastomer balloon under pressurized inflation and electric actuation. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 182-188, vol. 78-79. link> doi> full text>2016.
-
AN ASYMPTOTIC ANALYSIS OF THE PERIOD-DOUBLING SECONDARY BIFURCATION IN A FILM/SUBSTRATE BILAYER. SIAM JOURNAL ON APPLIED MATHEMATICS, 2381-2395, vol. 75(6). link> doi> full text>2015.
-
Buckling of a coated elastic half-space when the coating and substrate have similar material properties. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Article ARTN 20140979, vol. 471(2178). link> doi> full text>2015.
-
A semi-analytical approach to Biot instability in a growing layer: Strain gradient correction, weakly non-linear analysis and imperfection sensitivity. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 38-45, vol. 75. link> doi> full text>2015.
-
Foreword to special issue on “Qualitative Methods in Engineering Science”. International Journal of Engineering Science. doi>2015.
-
Stability of pear-shaped configurations bifurcated from a pressurized spherical balloon. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 33-44, vol. 68. link> doi> full text>2014.
- 2014.
-
Stability of an inflated hyperelastic membrane tube with localized wall thinning. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 53-61, vol. 80. link> doi> full text>2014.
- 2013.
- 2012.
- 2000.
-
Effects of imperfections on localized bulging in inflated membrane tubes. Philosophical Transactions of the Royal Society of London, 1896-1911, vol. A 370(1965). doi>2012.
-
Initiation of aneurysms as a mechanical bifurcation phenomenon. International Journal of Non-lineear Mechanics, 179-184, vol. 47. doi> full text>2012.
- 2009.
- 2012.
- 2010.
-
Characterization and stability of localized bulging/necking in inflated membrane tubes. IMA JOURNAL OF APPLIED MATHEMATICS, 581-602, vol. 75(4). link> doi> full text>2010.
-
Solitary waves in fluid-filled elastic tubes: existence, persistence, and the role of axial displacement. IMA JOURNAL OF APPLIED MATHEMATICS, 257-268, vol. 75(2). link> doi> full text>2010.
- 2009.
- 2008.
-
Hamiltonian interpretation of the Stroh formalism in anisotropic elasticity. Proc. Roy. Soc. Lond. A, 3073-3087, vol. 463. doi>2007.
-
A note on perturbation formulae for the surface-wave speed due to perturbations in material properties. JOURNAL OF ELASTICITY, 187-192, vol. 88(3). link> doi> full text>2007.
- 2006.
- 2006.
- 2006.
- 1994.
- 1993.
-
Edge waves in asymmetrically laminated plates. Journal of the Mechanics and Physics of Solids , 1-21, vol. 54(1). doi>2006.
- 2006.
- 2005.
- 2005.
- 2004.
- 2004.
- 2003.
-
A new identity for the surface impedance matrix and its application to the determination of surface-wave speeds. Proceedings of the Royal Society of London A, 2523-2543, vol. A458. doi>2002.
- 2002.
- 2001.
- 2001.
- 2000.
- 2000.
- 2000.
- 1999.
- 1999.
- 1998.
- 1998.
- 1997.
- 1997.
- 1994.
- 1993.
- 1993.
- 1996.
- 1995.
- 1995.
- 1994.
- 1994.
- 1993.
-
NONLINEAR DEVELOPMENT AND SECONDARY INSTABILITY OF LARGE-AMPLITUDE GORTLER VORTICES IN HYPERSONIC BOUNDARY-LAYERS. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 465-510, vol. 11(4). link>1992.
-
NONLINEAR DEVELOPMENT AND SECONDARY INSTABILITY OF LARGE-AMPLITUDE GORTLER VORTICES IN HYPERSONIC BOUNDARY-LAYERS. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 283-288, vol. 10(2). link>1991.
Chapters
-
Linear and nonlinear wave propagation in coated or uncoated elastic half-spaces. In Waves in nonlinear pre-stressed materials. Destrade M, Saccomandi G, Sciences ICFM (Eds.). Springer Verlag. link> doi> link> full text>2007.
Other
- 2022.
-
Analysis of edge waves using a Stroh-like formulation. PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS (pp. 434-439). link>2002.
- 2001.
-
Buckling of an elastic half-space with surface imperfections. Proceedings of the 1st Canadian Conference on Nonlinear Solid Mechanics (pp. 99-107, vol. 1). The University of Victoria. full text>1999.
-
Nonlinear Stability Analysis of a Pre-stressed Elastic Half-space. In RC. Batra & MF. Beatty (Eds.). Contemporary Research in the Mechanics and Mathematics of Materials (pp. 164-175). Barcelona: CIMNE. full text>1996.
Admin Roles
- Head of Mathematics
- Director of Research
- Library Liaison
Research themes
- Theoretical Solid Mechanics
- Biomechanics and Biomedical Engineering
School of Computer Science and Mathematics
Keele University
Staffordshire
ST5 5AA
Email: scm.admin@keele.ac.uk
Tel:+44 (0) 1782 731830