Viscoelastic materials find applications in a wide variety of areas such as aerospace & surface transport components, sporting goods, consumer durables and biomedical implants. Understanding the mechanics of these time-dependent materials is crucially important to engineers in many disciplines. The course will involve modeling and experimental aspects of the mechanics of viscoelastic materials. The course contents are targeted towards a general understanding of the mechanics of viscoelastic materials with interdisciplinary emphasis. Students from different backgrounds such as from applied mechanics, aerospace, civil, chemical and mechanical engineering may find the course useful.
Introduction to Viscoelasticity, review of the structure of viscoelastic materials such as plastics, rubbers and biological tissues
Linear 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 solid
Time-temperature superposition, WLF equation, influence of temperature on stress analysis.
Mechanical characterization of viscoelastic materials, experimental methods and pitfalls, dynamic measurements.
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.
4. E. Riande, R. Diaz-Calleja, M. G. Prolongo, R. M. Masegosa, C. Salom, Polymer viscoelasticity, CRC Press, 1999
5. W. N. Findley, J. S. Lai and K. Onaran, Creep and Relaxation of Nonlinear Viscoelastic Materials, Dover, 1989.
6. A. C. Pipkin, Lectures on Viscoelasticity Theory, 2nd Ed., Springer, 1986
7. R. M. Christensen, Theory of Viscoelasticity, Dover, 2nd Ed., 1982
8. J. D. Ferry, Viscoelastic Properties of Polymers, 3rd Ed., Wiley, 1980.