Wave Propagation and Dynamic Response Analysis of Rate Dependent Materials

  • Yoshiaki Yamada
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


A method is proposed for describing the constitutive equation which is convenient to the experimental determination of characteristic parameters representing the mechanical behavior as well as the execution of numerical analysis. It is based on the mechanical model of generalized Voigt type comprising elastic, plastic, and rate-dependent viscoelastic components being connected in series. The relation for the general three dimensional case is derived first and the implications of relevant terms are discussed in detail by considering the uniaxial stress field. Numerical example of the application of the proposed method concerns with the solution of one demensional viscoelstic wave propagation by the finite difference and finite element methods.


Constitutive Equation Elastic Wave Propagation Dynamic Response Analysis Consistent Mass Matrix Rate Dependent Material 
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Copyright information

© Springer-Verlag, Berlin/Heidelberg 1979

Authors and Affiliations

  • Yoshiaki Yamada
    • 1
  1. 1.Institute of Industrial scienceUniversity of TokyoRoppongi. Minato-ku, TokyoJapan

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