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Mathematics Tutorial Program

Contact Information:
Contact Information:
Frank Rooney
320 Van Vleck Hall
frooney@math.wisc.edu

Publications

  • "Exact Solutions in Finite Compressible Elasticity via the Complementary Energy Function" with Sean Eberhard, Mathematics and Mechanics of Solids, to appear. Journal preprint
  • "On the ascent and descent times of a projectile in a resistant medium" with S.K. Eberhard", International Journal of Nonlinear Mechanics,Vol 46, (2011), pp. 742-744 .Journal
  • "Spherical Inflation for a Class of Compressible Thermoelastic Materials" with S.E. Bechtel, Mathematics and Mechanics of Solids, Vol 16, (2011), pp. 682-693.Journal
  • "Stability of radially symmetric deformations of spheres of compressible nonlinearly elastic materials" with Jeremiah G. Murphy, Mathematics and Mechanics of Solids, Vol 16, (2011), pp. 524-535.Journal
  • Some Exact Solutions for a Class of Compressible Nonlinearly Elastic Materials”, with M.M. Carroll, International Journal of Nonlinear Mechanics , 42, pp. 321-329, (2007). Journal
  • "Implications of Shield's Inverse Deformation Theorem for Compressible Finite Elasticity", with M.M. Carroll, ZAMP , 56, (2005), pp. 1048-1060. Journal
  • "On a thermodynamic definition of pressure for incompressible viscous fluids", with S.E. Bechtel and Q. Wang, International Journal of Engineering Science , 42, (2004), pp. 1987-1994. Journal
  • "Investigation of simplified thermal expansion models for compressible Newtonian fluids applied to nonisothermal plane Couette and Poiseuille flows", with S.E. Bechtel M. Cai and Q. Wang, Physics of Fluids, 16, (2004), pp. 3955-3974. Journal
  • "Constraints, Constitutive Limits, and Instability in Finite Thermoelasticity", with S.E. Bechtel, Journal of Elasticity, 74, (2004), pp.109-133. Journal
  • "Internal Constraint Theories for the Thermal Expansion of Viscous Fluids", with S.E. Bechtel and M.G. Forrest, International Journal of Engineering Science, 42, (2004), pp. 43-64. Journal
  • "Connection between Stability, Convexity of the Internal Energy, and the Second Law for Compressible Newtonian Fluids", with S.E. Bechtel and M.G. Forrest, ASME Journal of Applied Mechanics , 72, (2005), pp. 299-300.Journal
  • "Interstitial stress and fluid pressure within a growing tumor", with M. Sarntinoranont and M. Ferrari, Annals of Biomedical Engineering , 31, (2003), pp. 327--335.Journal
  • "Thermal Expansion Models of Viscous Fluids based on Limits of Free Energy", with S.E. Bechtel, M.G. Forrest, and Q. Wang, Physics of Fluids, Vol 15, pp. 2681- 2693 (2003)Journal
  • "Tension, Bending, and Flexure of Functionally Graded Cylinders", with M. Ferrari, International Journal of Solids and Structures, 38, (2000), pp. 413-421Journal
  • "The Modeling of Thermal Expansion" with S.E. Bechtel, AMD Vol. 236, Finite Thermoelasticity, ASME, (1999), pp. 77-85.
  • "Singular Solutions in Second Order Elasticity", with M.M. Carroll, ASME Journal of Applied Mechanics, 66, (1999), pp. 867-871.Journal
  • "On the St. Venant Problems for Inhomogeneous Circular Bars", with M. Ferrari, ASME Journal of Applied Mechanics , 66, (1999), pp. 32-41.Journal
  • "On the Pressure Distribution within Tumors" with M. Ferrari and A. Imam , Mathematical Modeling and Scientific Computing, 6, (1996), pp. 715-721.
  • "Torsion and Flexure of Inhomogeneous Elements", with M. Ferrari, Composites Engineering, 5, (1995), pp. 901-911.Journal
  • "Torsion of a Functionally Graded Rectangular Shaft", with M. Ferrari, PD Vol 62, Materials and Design Technology, ASME, (1994), pp. 285-289.
  • "Plane Stress Problems for a Special Class of Compressible Materials", with M.M. Carroll and J.G. Murphy, International Journal of Solids and Structures, 31, (1994), pp. 1597-1607.Journal
  • "Rotation of Cylinders of Special Compressible Materials", with J.G. Murphy, International Journal of Engineering Science, 30, (1992), pp. 213-221.Journal
  • "Simplification of the Second Order Problem for Incompressible Elastic Solids", with M.M. Carroll, Quarterly Journal of Mechanics and Applied Mathematics, 37, (1984), pp. 261-272.Journal
  • "Generating Functions for Plane or Axisymmetric Isochoric Deformation", with M.M. Carroll, Quarterly of Applied Mathematics, 42, (1984), pp. 249-253.