Linear Viscoelastic Materials
Viscoelastic materials induce delayed mechanical response when loaded, and are of major interest for designing damping systems or for studying the creep behavior in concrete, among many other engineering applications. Progress in the design of viscoelastic composites require the construction of homogenized models based on microstructural analysis. As compared to the homogenization problems presented in the previous chapters, an additional difficulty arises from the time dependence of the behavior of the individual phases. In this chapter, a method for computing the homogenized behavior of linear viscoelastic materials is presented, based on the work proposed in . The technique operates in the time domain. In this book, we restrict ourselves to this method due to its simplicity, even though other approaches have been proposed based on Laplace–Carson transform. A literature review about the different available methods and their drawbacks/advantages can be found in .
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