Abstract
The finite-volume theory is a well-known technique frequently used for analysis of boundary-value problems in fluid mechanics [7]. Its excellent performance has motivated attempts to extend it to solid mechanics problems. Thus, in the past two decades, several authors presented formulations based on this technique. Here, we present one of these finite-volume formulations, known as the Parametric Finite-Volume Formulation. It uses the Finite Volume Direct Averaged Method—FVDAM [1] as a basis and is summarized for the case of linear elastic problems in Cavalcante et al. [2, 3]. An extension of the Parametric Finite-Volume Formulation in order to include linear viscoelastic effect, here presented, can be found in a more detailed form in Escarpini Filho [5].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Y. Bansal, M.-J. Pindera, Efficient reformulation of the thermoelastic higher-order theory for FGMs. J. Therm. Stresses 26(11/12), 1055–1092 (2003)
M.A.A. Cavalcante, S.P.C. Marques, M.-J. Pindera, Parametric formulation of the finite-volume theory for functionally graded materials-part I: analysis. J. Appl. Mech. 74(5), 935–945 (2007)
M.A.A. Cavalcante, S.P.C. Marques, M.-J. Pindera, Parametric formulation of the finite-volume theory for functionally graded materials-part II: numerical results. J. Appl. Mech. 74(5), 946–957 (2007)
M.A.A. Cavalcante, S.P.C. Marques, M.-J. Pindera, Computational aspects of the parametric finite-volume theory for functionally graded materials. Comput. Mater. Sci. 44, 422–438 (2008)
R.S. Escarpini Filho, Analysis of linear viscoelastic composites structures using finite-volume theory. Master thesis. Federal University of Alagoas (in Portuguese) (2010)
W. Flügge, Viscoelasticity (Springer, New York, 1975)
H.K. Versteeg, W. Malalasekera, An introduction to computational fluid dynamics—the finite volume method, 2nd edn. (Pearson Education Limited, Harlow, 2007)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 The Authors
About this chapter
Cite this chapter
Marques, S.P.C., Creus, G.J. (2012). Viscoelastic Finite Volume Formulation. In: Computational Viscoelasticity. SpringerBriefs in Applied Sciences and Technology(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25311-9_11
Download citation
DOI: https://doi.org/10.1007/978-3-642-25311-9_11
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25310-2
Online ISBN: 978-3-642-25311-9
eBook Packages: EngineeringEngineering (R0)