A nonlinear rubber material model is presented, where influences of frequency and dynamic amplitude are taken into account through fractional order viscoelasticity and plasticity, respectively. The problem of simultaneously modeling elastic, viscoelastic, and friction contributions is removed by additively splitting them. Due to the fractional order representation mainly, the number of parameters of the model remains low, rendering an easy fitting of the values from tests on material samples. The proposed model is implemented in a general-purpose finite element (FE) code. Since commercial FE codes do not contain any suitable constitutive model that represents the full dynamic behavior of rubber compounds (including frequency and amplitude dependent effects), a simple approach is used based on the idea of adding stress contributions from simple constitutive models: a mesh overlay technique, whose basic idea is to create a different FE model for each material definition (fractional derivative viscoelastic and elastoplastic), all with identical meshes but with different material definition, and sharing the same nodes. Fractional-derivative viscoelasticity is implemented through user routines and the algorithm for that purpose is described, while available von Mises’ elastoplastic models are adopted to take rate-independent effects into account. Satisfactory results are obtained when comparing the model results with tests carried out in two rubber bushings at a frequency range up to 500 Hz, showing the ability of the material model to accurately describe the complex dynamic behavior of carbon-black filled rubber compounds.
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January 2009
Research Papers
A Nonlinear Rubber Material Model Combining Fractional Order Viscoelasticity and Amplitude Dependent Effects
N. Gil-Negrete,
N. Gil-Negrete
Department of Applied Mechanics,
e-mail: ngil@ceit.es
CEIT and Tecnun (University of Navarra)
, Paseo Manuel Lardizabal 15, 20018 San Sebastian, Spain
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J. Vinolas,
J. Vinolas
Department of Applied Mechanics,
CEIT and Tecnun (University of Navarra)
, Paseo Manuel Lardizabal 15, 20018 San Sebastian, Spain
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L. Kari
L. Kari
Department Aeronautical and Vehicle Engineering, MWL,
KTH
, SE-10044 Stockholm, Sweden
Search for other works by this author on:
N. Gil-Negrete
Department of Applied Mechanics,
CEIT and Tecnun (University of Navarra)
, Paseo Manuel Lardizabal 15, 20018 San Sebastian, Spaine-mail: ngil@ceit.es
J. Vinolas
Department of Applied Mechanics,
CEIT and Tecnun (University of Navarra)
, Paseo Manuel Lardizabal 15, 20018 San Sebastian, Spain
L. Kari
Department Aeronautical and Vehicle Engineering, MWL,
KTH
, SE-10044 Stockholm, SwedenJ. Appl. Mech. Jan 2009, 76(1): 011009 (9 pages)
Published Online: November 5, 2008
Article history
Received:
February 18, 2008
Revised:
July 16, 2008
Published:
November 5, 2008
Citation
Gil-Negrete, N., Vinolas, J., and Kari, L. (November 5, 2008). "A Nonlinear Rubber Material Model Combining Fractional Order Viscoelasticity and Amplitude Dependent Effects." ASME. J. Appl. Mech. January 2009; 76(1): 011009. https://doi.org/10.1115/1.2999454
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