ID6070 Mechanics of Viscoelastic Materials


Objectives:

Develop models for viscoelastic materials.Design experiments to characterize the mechanical response of viscoelastic materials.Solve boundary value problems using models developed.Explore applications in Applied Mechanics, Aerospace, Civil, Chemical and Mechanical engineering.

Course Contents:

Introduction to Viscoelasticity, review of the structure of viscoelastic materials such as plastics, rubbers and biological tissuesLinear viscoelasticity, constitutive equations using mechanical analogs, Maxwell model, standard linear solid and Burgers’ model generalized models, integral models, Boltzmann Superposition principle, stress relaxation and creep, relation between creep compliance, stress relaxation and complex modulus.Stress analysis examples, beam problems, elastic-viscoelastic correspondence principle, thick walled tubes, point force on semi-infinite solidTime-temperature superposition, WLF equation, influence of temperature on stress analysis.Mechanical characterization of viscoelastic materials, experimental methods and pitfalls, dynamic measurements.

Text Books:

  1. M. T. Shaw and W. J. MacKnight, Introduction to Polymer Viscoelasticity, 3rd Ed., Wiley-Interscience, 2005.
  2. I. M. Ward, J. Sweeny, The Mechanical Properties of Solid Polymers, 2nd Ed., Wiley, 2004.
  3. A. S. Wineman and K. R. Rajagopal, Mechanical Response of Polymers: An Introduction, Cambridge University Press, 2000.

Reference Books:

  1. E. Riande, R. Diaz-Calleja, M. G. Prolongo, R. M. Masegosa, C. Salom, Polymer viscoelasticity, CRC Press, 1999
  2. W. N. Findley, J. S. Lai and K. Onaran, Creep and Relaxation of Nonlinear Viscoelastic Materials, Dover, 1989.
  3. A. C. Pipkin, Lectures on Viscoelasticity Theory, 2nd Ed., Springer, 1986
  4. R. M. Christensen, Theory of Viscoelasticity, Dover, 2nd Ed., 1982
  5. J. D. Ferry, Viscoelastic Properties of Polymers, 3rd Ed., Wiley, 1980.