Yibin Fu

Title: Professor
Phone: 01782 733650
Email:
Location: MacKay Building Room 2.33
Role:
Contacting me:

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 in Mathematics 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.

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. 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; (iv) showing that subcritical localization is more susceptible to material or geometrical imperfections than classical subcritical bifurcations into sinusoidal patterns (to be more precise, the former obeys a square root rule whereas the latter obeys Koiter's two-thirds
power rule).

Scholarship: I am an editor for the IMA Journal of Applied Mathematics and an editorial board member of (i) Acta Mechanica Solida Sinica, (ii) International Journal of Applied Mechanics, and (iii) Acta Mechanica Sinica.

Selected Publications

  • Fu Y and Xie YX. 2012. Effects of imperfections on localized bulging in inflated membrane tubes. Philosophical Transactions of the Royal Society of London, vol. A 370(1965), 1896-1911. doi> full text>
  • Fu Y, Rogerson GA, Zhang YT. 2012. Initiation of aneurysms as a mechanical bifurcation phenomenon. International Journal of Non-lineear Mechanics, vol. 47, 179-184. doi> full text>
  • Fu YB and Xie YX. 2010. Stability of localized bulging in inflated membrane tubes under volume control. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 48(11), 1242-1252. link> doi>
  • Fu YB and Il'Ichiev AT. 2010. Solitary waves in fluid-filled elastic tubes: existence, persistence, and the role of axial displacement. IMA JOURNAL OF APPLIED MATHEMATICS, vol. 75(2), 257-268. link> doi> full text>
  • Edmondson RT and Fu YB. 2009. Stroh formulation for a generally constrained and pre-stressed elastic material. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, vol. 44(5), 530-537. link> doi>

Full Publications List show

Books

  • Fu YB and Ogden RW. 2001. Nonlinear elasticity. Cambridge Univ Pr.

Journal Articles

  • Fu YB, Rogerson GA, Wang WF. 2013. Surface waves guided by topography in an anisotropic elastic half-space. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 469(2149), Article ARTN 20120371. link> doi>
  • Il'ichev AT and Fu Y-B. 2012. Stability of aneurysm solutions in a fluid-filled elastic membrane tube. ACTA MECHANICA SINICA, vol. 28(4), 1209-1218. link> doi>
  • Fu YB and Kaplunov J. 2012. Analysis of localized edge vibrations of cylindrical shells using the Stroh formalism. MATHEMATICS AND MECHANICS OF SOLIDS, vol. 17(1), 59-66. link> doi>
  • Fu Y and Xie YX. 2012. Effects of imperfections on localized bulging in inflated membrane tubes. Philosophical Transactions of the Royal Society of London, vol. A 370(1965), 1896-1911. doi> full text>
  • Fu Y, Rogerson GA, Zhang YT. 2012. Initiation of aneurysms as a mechanical bifurcation phenomenon. International Journal of Non-lineear Mechanics, vol. 47, 179-184. doi> full text>
  • Fu YB and Xie YX. 2010. Stability of localized bulging in inflated membrane tubes under volume control. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 48(11), 1242-1252. link> doi>
  • Pearce SP and Fu YB. 2010. Characterization and stability of localized bulging/necking in inflated membrane tubes. IMA JOURNAL OF APPLIED MATHEMATICS, vol. 75(4), 581-602. link> doi> full text>
  • Fu YB and Il'Ichiev AT. 2010. Solitary waves in fluid-filled elastic tubes: existence, persistence, and the role of axial displacement. IMA JOURNAL OF APPLIED MATHEMATICS, vol. 75(2), 257-268. link> doi> full text>
  • Edmondson RT and Fu YB. 2009. Stroh formulation for a generally constrained and pre-stressed elastic material. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, vol. 44(5), 530-537. link> doi>
  • Li J, Fu Y, Chen F. 2009. CHAOTIC MOTION AND HAMILTONIAN DYNAMICS OF A PRESTRESSED INCOMPRESSIBLE ELASTIC PLATE DUE TO RESONANT-TRIAD INTERACTIONS. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, vol. 19(3), 903-921. link>
  • Fu YB, Pearce SP, Liu KK. 2008. Post-bifurcation analysis of a thin-walled hyperelastic tube under inflation. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, vol. 43(8), 697-706. link> doi> full text>
  • FU Y. 2007. Hamiltonian interpretation of the Stroh formalism in anisotropic elasticity. Proc. Roy. Soc. Lond. A, vol. 463, 3073-3087. doi> full text>
  • Song YQ and Fu YB. 2007. A note on perturbation formulae for the surface-wave speed due to perturbations in material properties. JOURNAL OF ELASTICITY, vol. 88(3), 187-192. link> doi> full text>
  • Freidin AB, Fu YB, Sharipova LL, Vilchevskaya EN. 2006. Spherically symmetric two-phase deformations and phase transition zones. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, vol. 43(14-15), 4484-4508. link> doi>
  • Fu YB and Brookes DW. 2006. An explicit expression for the surface-impedance tensor of a compressible monoclinic material in a state of plane strain. IMA JOURNAL OF APPLIED MATHEMATICS, vol. 71(3), 434-445. link> doi> full text>
  • Fu YB and Zhang YT. 2006. Continuum-mechanical modelling of kink-band formation in fibre-reinforced composites. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, vol. 43(11-12), 3306-3323. link> doi>
  • FU Y and Brookes DW. 2006. Edge waves in asymmetrically laminated plates. Journal of the Mechanics and Physics of Solids , vol. 54(1), 1-21. doi>
  • Destrade M and Fu YB. 2006. The speed of interfacial waves polarized in a symmetry plane. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 44(1-2), 26-36. link> doi>
  • Fu YB. 2005. An integral representation of the surface-impedance tensor for incompressible elastic materials. JOURNAL OF ELASTICITY, vol. 81(1), 75-90. link> doi>
  • Fu YB. 2005. An explicit expression for the surface-impedance matrix of a generally anisotropic incompressible elastic material in a state of plane strain. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, vol. 40(2-3), 229-239. link> doi>
  • FU Y and Freidin AB. 2004. Characterization and stability of two-phase piecewise-homogeneous deformations. Proceedings of the Royal Society of London A, vol. A460, 3065-3094. doi> link>
  • Mielke A and Fu YB. 2004. Uniqueness of the surface-wave spped: A proof that is independent of the Stroh formalism. MATHEMATICS AND MECHANICS OF SOLIDS, vol. 9(1), 5-15. link> doi>
  • Fu YB. 2003. Existence and uniqueness of edge waves in a generally anisotropic elastic plate. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, vol. 56, 605-616. link> doi>
  • FU Y and Mielke A. 2002. 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, vol. A458, 2523-2543. doi>
  • Fu YB and Lin YP. 2002. A WKB analysis of the buckling of an everted neo-Hookean cylindrical tube. MATHEMATICS AND MECHANICS OF SOLIDS, vol. 7(5), 483-501. link> doi>
  • Fu YB and Pour MS. 2002. WKB method with repeated roots and its application to the buckling analysis of an everted cylindrical tube. SIAM JOURNAL ON APPLIED MATHEMATICS, vol. 62(6), 1856-1871. link>
  • Zheng QS and Fu YB. 2001. Orientation distribution functions for microstructures of heterogeneous materials (II) - Crystal distribution functions and irreducible tensors restricted by various material symmetries. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, vol. 22(8), 885-903. link> doi>
  • Zhang YT and Fu YB. 2001. A micro-mechanical model of woven fabric and its application to the analysis of buckling under uniaxial tension. Part 2: buckling analysis. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 39(1), 1-13. link> doi>
  • Zhang YT and Fu YB. 2000. A micromechanical model of woven fabric and its application to the analysis of buckling under uniaxial tension - Part 1: The micromechanical model. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 38(17), 1895-1906. link> doi>
  • Erbay HA, Fu YB, Rogerson GA. 2000. Effects of pre-stress on impact waves in an incompressible elastic plate. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, vol. 53, 531-550. link> doi>
  • Fu XC, Fu YB, Duan JQ, Mackay RS. 2000. Chaotic properties of subshifts generated by a nonperiodic recurrent orbit. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, vol. 10(5), 1067-1073. link> doi>
  • Cai ZX and Fu YB. 2000. Exact and asymptotic stability analyses of a coated elastic half-space. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, vol. 37(22), 3101-3119. link> doi>
  • Cai ZX and Fu YB. 1999. On the imperfection sensitivity of a coated elastic half-space. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 455(1989), 3285-3309. link>
  • Fu YB and Ogden RW. 1999. Nonlinear stability analysis of pre-stressed elastic bodies. CONTINUUM MECHANICS AND THERMODYNAMICS, vol. 11(3), 141-172. link> doi>
  • Fu YB. 1998. A nonlinear stability analysis of an incompressible elastic plate subjected to an all-round tension. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, vol. 46(11), 2261-2282. link> doi>
  • Fu YB. 1998. Some asymptotic results concerning the buckling of a spherical shell of arbitrary thickness. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, vol. 33(6), 1111-1122. link> doi>
  • Devenish BJ and Fu YB. 1997. The nonlinear evolution of near-neutral and near-body wave modes in a pre-stressed incompressible elastic half-space. Part I: Upper branch near-neutral modes. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 35(15), 1431-1440. link> doi>
  • Devenish BJ and Fu YB. 1997. The nonlinear evolution of near-neutral and near-body wave modes in a pre-stressed incompressible elastic half-space. Part II: Lower branch near-neutral modes. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 35(15), 1441-1455. link> doi>
  • Fu YB and Zheng QS. 1997. Nonlinear travelling waves in a neo-Hookean plate subjected to a simple shear. MATHEMATICS AND MECHANICS OF SOLIDS, vol. 2(1), 27-48. link> doi>
  • Fu YB and Devenish B. 1996. Effects of pre-stresses on the propagation of nonlinear surface waves in an incompressible elastic half-space. QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, vol. 49, 65-80. link> doi>
  • Fu YB. 1995. Resonant-triad instability of a pre-stressed incompressible elastic plate. JOURNAL OF ELASTICITY, vol. 41(1), 13-37. link> doi>
  • ROGERSON G and FU Y. 1995. AN ASYMPTOTIC ANALYSIS OF THE DISPERSION-RELATION OF A PRESTRESSED INCOMPRESSIBLE ELASTIC PLATE. ACTA MECHANICA, vol. 111(1-2), 59-74. link> doi>
  • FU Y and HALL P. 1994. CROSS-FLOW EFFECTS ON THE GROWTH-RATE OF INVISCID GORTLER VORTICES IN A HYPERSONIC BOUNDARY-LAYER. JOURNAL OF FLUID MECHANICS, vol. 276, 343-367. link> doi>
  • FU Y and ROGERSON G. 1994. A NONLINEAR-ANALYSIS OF INSTABILITY OF A PRESTRESSED INCOMPRESSIBLE ELASTIC PLATE. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 446(1927), 233-254. link>
  • FU Y. 1994. ON THE PROPAGATION OF NONLINEAR TRAVELING WAVES IN AN INCOMPRESSIBLE ELASTIC PLATE. WAVE MOTION, vol. 19(3), 271-292. link> doi>
  • FU Y and SCOTT N. 1994. PROPAGATION OF SIMPLE WAVES AND SHOCK-WAVES IN A ROD OF SLOWLY VARYING CROSS-SECTIONAL AREA. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol. 32(1), 35-44. link> doi>
  • FU Y. 1993. ON THE INSTABILITY OF INEXTENSIBLE ELASTIC BODIES - NONLINEAR EVOLUTION OF NONNEUTRAL, NEUTRAL AND NEAR-NEUTRAL MODES. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 443(1917), 59-82. link> doi>
  • FU Y, HALL P, BLACKABY N. 1993. ON THE GORTLER INSTABILITY IN HYPERSONIC FLOWS - SUTHERLAND LAW FLUIDS AND REAL-GAS EFFECTS. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol. 342(1665), 325-377. link> doi>
  • FU Y and HALL P. 1993. EFFECTS OF GORTLER VORTICES, WALL COOLING AND GAS DISSOCIATION ON THE RAYLEIGH INSTABILITY IN A HYPERSONIC BOUNDARY-LAYER. JOURNAL OF FLUID MECHANICS, vol. 247, 503-525. link> doi>
  • FU Y and LI Z. 1993. AN ASYMPTOTIC STRESS-ANALYSIS OF LAMINATED PLATES. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, vol. 30(23), 3245-3260. link>
  • FU Y and HALL P. 1992. NONLINEAR DEVELOPMENT AND SECONDARY INSTABILITY OF LARGE-AMPLITUDE GORTLER VORTICES IN HYPERSONIC BOUNDARY-LAYERS. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, vol. 11(4), 465-510. link>
  • FU Y and HALL P. 1991. NONLINEAR DEVELOPMENT AND SECONDARY INSTABILITY OF LARGE-AMPLITUDE GORTLER VORTICES IN HYPERSONIC BOUNDARY-LAYERS. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, vol. 10(2), 283-288. link>

Chapters

  • Fu Y. 2007. 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>

Other

  • Fu YB. 2002. Analysis of edge waves using a Stroh-like formulation. PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS (pp. 434-439). link>
  • Fu YB and Hill SLB. 2001. Propagation of steady nonlinear waves in a coated elastic half-space. WAVE MOTION (vol. 34, pp. 109-129). link> doi>
  • Fu Y. 1999. Buckling of an elastic half-space with surface imperfections. Proceedings of the 1st Canadian Conference on Nonlinear Solid Mechanics (vol. 1, pp. 99-107). The University of Victoria. full text>
  • Ogden RW and Fu YB. 1996. 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>

MAT-30003: Partial Differential Equations