Introduction to Linear Viscoelasticity

  • Petre P. Teodorescu
Part of the Mathematical and Analytical Techniques with Applications to Engineering book series (MATE)


We have assumed in the classical theory of elasticity that the constitutive law (the strain-stress relations) is linear and independent on time. As well, we have assumed the hypothesis of small deformations with respect to unity, so that the principle of superposition of effects may be applied. On the other hand, many bodies do not respect the above hypotheses, appearing the influence of the time too.


Complex Modulus Relaxation Function Relaxation Modulus Linear Viscoelasticity Harmonic Variation 
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A. Books

  1. 1.
    Bland, D.R.: The Theory of Linear Viscoelasticity. Pergamon Press, London (1960)Google Scholar
  2. 2.
    Kecs, W.:Elasticitate şi vâscoelasticitate (Elasticity and Viscoelasticity). Ed. Tehnică, Bucureşti (1986)Google Scholar
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B. Papers

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    Alfrey, T.: Non-homogeneous stresses in viscoelastic media. Quart. Appl. Math. 2, 113 (1944)MathSciNetGoogle Scholar
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    Lee, E.H.: Stress analysis in viscoelastic bodies. Quart. Appl. Math. 13, 183 (1955)MathSciNetGoogle Scholar
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    Read, W.T.: Stress analysis for compressible viscoelastic materials. J. Appl. Phys. 21, 671 (1950)MathSciNetADSCrossRefGoogle Scholar
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    Tsien, H.S.: A generalization of Alfrey’s theorem for viscoelastic media. Quart. Appl. Math. 8, 104 (1950)MathSciNetGoogle Scholar
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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Faculty of MathematicsUniversity of BucharestBucharestRomania

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