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A Parametric Finite-Volume Formulation for Linear Viscoelasticity

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Book cover Design and Analysis of Materials and Engineering Structures

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 32))

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Abstract

This chapter of contribution presents a new numerical model for the analysis of structures of heterogeneous materials with linear viscoelastic constituents. The model is based on the recently developed parametric finite-volume theory. The use of quadrilateral subvolumes made possible by the mapping facilitates efficient modeling of microstructures with arbitrarily shaped heterogeneities, and eliminates artificial stress concentrations produced by the rectangular subvolumes employed in the standard version. The parametric formulation is here extended to model viscoelastic behavior. Several examples, including both homogeneous and heterogeneous situations, are analyzed. Comparison between numerical and analytical results has shown an excellent performance of the proposed model.

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Acknowledgments

The authors would like to gratefully acknowledge the support of the Brazilian federal agencies CNPq and CAPES.

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Authors and Affiliations

  1. LCCV/Center of Technology Federal University of Alagoas, Campus AC Simoes, Maceio, AL, Brazil

    Severino P. C. Marques & Romildo S. Escarpini Filho

  2. CEMACOM-UFRGS, Porto Alegre, RS, Brazil

    Guillermo J. Creus

Authors
  1. Severino P. C. Marques
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  2. Romildo S. Escarpini Filho
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  3. Guillermo J. Creus
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Corresponding author

Correspondence to Severino P. C. Marques .

Editor information

Editors and Affiliations

  1. Faculty of Mechanical Engineering, Department of Applied Mechanics, Technical University of Malaysia, Johor, Malaysia

    Andreas Öchsner

  2. , Department of Mechanical Engineering, University of Porto, Rua Dr. Roberto Frias, Porto, 4200-465, Portugal

    Lucas F. M. da Silva

  3. , Lehrstuhl für Technische Mechanik, Universität Magdeburg, Universitätsplatz 2, Magdeburg, 39106, Germany

    Holm Altenbach

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Marques, S.P.C., Escarpini Filho, R.S., Creus, G.J. (2013). A Parametric Finite-Volume Formulation for Linear Viscoelasticity. In: Öchsner, A., da Silva, L., Altenbach, H. (eds) Design and Analysis of Materials and Engineering Structures. Advanced Structured Materials, vol 32. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32295-2_6

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