Temporal Homogenization of Viscoelastic and Viscoplastic Solids Subjected to Locally Periodic Loading

  title={Temporal Homogenization of Viscoelastic and Viscoplastic Solids Subjected to Locally Periodic Loading},
  author={Qing Yu and Jacob Fish},
As a direct extension of the asymptotic spatial homogenization method we develop a temporal homogenization scheme for a class of homogeneous solids with an intrinsic time scale significantly longer than a period of prescribed loading. Two rate-dependent material models, the Maxwell viscoelastic model and the power-law viscoplastic model, are studied as an illustrative examples. Double scale asymptotic analysis in time domain is utilized to obtain a sequence of initial-boundary value problems… CONTINUE READING
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