This work presents a hyperviscoelastic model, based on the Hencky-logarithmic strain tensor, to model the response of a tire derived material (TDM) undergoing moderately large deformations. The TDM is a composite made by cold forging a mix of rubber fibers and grains, obtained by grinding scrap tires, and polyurethane binder. The mechanical properties are highly influenced by the presence of voids associated with the granular composition and low tensile strength due to the weak connection at the grain–matrix interface. For these reasons, TDM use is restricted to applications involving a limited range of deformations. Experimental tests show that a central feature of the response is connected to highly nonlinear behavior of the material under volumetric deformation which conventional hyperelastic models fail in predicting. The strain energy function presented here is a variant of the exponentiated Hencky strain energy, which for moderate strains is as good as the quadratic Hencky model and in the large strain region improves several important features from a mathematical point of view. The proposed form of the exponentiated Hencky energy possesses a set of parameters uniquely determined in the infinitesimal strain regime and an orthogonal set of parameters to determine the nonlinear response. The hyperelastic model is additionally incorporated in a finite deformation viscoelasticity framework that accounts for the two main dissipation mechanisms in TDMs, one at the microscale level and one at the macroscale level. The new model is capable of predicting different deformation modes in a certain range of frequency and amplitude with a unique set of parameters with most of them having a clear physical meaning. This translates into an important advantage with respect to overcoming the difficulties related to finding a unique set of optimal material parameters as are usually encountered fitting the polynomial forms of strain energies. Moreover, by comparing the predictions from the proposed constitutive model with experimental data we conclude that the new constitutive model gives accurate prediction.
Skip Nav Destination
Article navigation
July 2016
Research-Article
The Exponentiated Hencky Strain Energy in Modeling Tire Derived Material for Moderately Large Deformations
Giuseppe Montella,
Giuseppe Montella
Department of Structure for Engineering
and Architecture,
University of Naples ‘Federico II’,
Naples 80125, Italy;
and Architecture,
University of Naples ‘Federico II’,
Naples 80125, Italy;
Department of Civil
and Environmental Engineering,
University of California Berkeley,
Berkeley, CA 94720
e-mail: giuseppe.montella@unina.it
and Environmental Engineering,
University of California Berkeley,
Berkeley, CA 94720
e-mail: giuseppe.montella@unina.it
Search for other works by this author on:
Sanjay Govindjee,
Sanjay Govindjee
Professor
Mem. ASME
Department of Civil
and Environmental Engineering,
University of California Berkeley,
Berkeley, CA 94720
e-mail: s_g@berkeley.edu
Mem. ASME
Department of Civil
and Environmental Engineering,
University of California Berkeley,
Berkeley, CA 94720
e-mail: s_g@berkeley.edu
Search for other works by this author on:
Patrizio Neff
Patrizio Neff
Professor
Faculty of Mathematics,
University of Duisburg-Essen,
Essen 45117, Germany
e-mail: patrizio.neff@uni-due.de
Faculty of Mathematics,
University of Duisburg-Essen,
Essen 45117, Germany
e-mail: patrizio.neff@uni-due.de
Search for other works by this author on:
Giuseppe Montella
Department of Structure for Engineering
and Architecture,
University of Naples ‘Federico II’,
Naples 80125, Italy;
and Architecture,
University of Naples ‘Federico II’,
Naples 80125, Italy;
Department of Civil
and Environmental Engineering,
University of California Berkeley,
Berkeley, CA 94720
e-mail: giuseppe.montella@unina.it
and Environmental Engineering,
University of California Berkeley,
Berkeley, CA 94720
e-mail: giuseppe.montella@unina.it
Sanjay Govindjee
Professor
Mem. ASME
Department of Civil
and Environmental Engineering,
University of California Berkeley,
Berkeley, CA 94720
e-mail: s_g@berkeley.edu
Mem. ASME
Department of Civil
and Environmental Engineering,
University of California Berkeley,
Berkeley, CA 94720
e-mail: s_g@berkeley.edu
Patrizio Neff
Professor
Faculty of Mathematics,
University of Duisburg-Essen,
Essen 45117, Germany
e-mail: patrizio.neff@uni-due.de
Faculty of Mathematics,
University of Duisburg-Essen,
Essen 45117, Germany
e-mail: patrizio.neff@uni-due.de
Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received September 17, 2015; final manuscript received January 19, 2016; published online May 10, 2016. Assoc. Editor: Curt Bronkhorst.
J. Eng. Mater. Technol. Jul 2016, 138(3): 031008 (12 pages)
Published Online: May 10, 2016
Article history
Received:
September 17, 2015
Revised:
January 19, 2016
Citation
Montella, G., Govindjee, S., and Neff, P. (May 10, 2016). "The Exponentiated Hencky Strain Energy in Modeling Tire Derived Material for Moderately Large Deformations." ASME. J. Eng. Mater. Technol. July 2016; 138(3): 031008. https://doi.org/10.1115/1.4032749
Download citation file:
Get Email Alerts
A Multiaxial Fatigue Life Criterion Including the Mean Stress Effect Based on π-Plane Projection and Walker Equation
J. Eng. Mater. Technol (July 2025)
Forming Limits of Thin Ferritic Stainless Steel for Fuel Cell Application
J. Eng. Mater. Technol (July 2025)
Performance Enhancement of a Hole in a Plate Through Residual Stress Induced by Thermal Autofrettage
J. Eng. Mater. Technol (July 2025)
Impact of Derivative Cutting on Micro-Textured Tool Performance in CFRP Machining
J. Eng. Mater. Technol
Related Articles
Smooth Yield Surface Constitutive Modeling for Granular Materials
J. Eng. Mater. Technol (January,2017)
Quasi-Static and Dynamic Behavior of Inconel 625 Obtained by Laser Metal Deposition: Experimental Characterization and Constitutive Modeling
J. Eng. Mater. Technol (October,2021)
Equivalence Between Short-Time Biphasic and Incompressible Elastic Material Responses
J Biomech Eng (June,2007)
Modeling of the Long-Term Behavior of Glassy Polymers
J. Eng. Mater. Technol (January,2013)
Related Proceedings Papers
Related Chapters
Introduction to Stress and Deformation
Introduction to Plastics Engineering
Mathematical Background
Vibrations of Linear Piezostructures
Microstructure Evolution and Physics-Based Modeling
Ultrasonic Welding of Lithium-Ion Batteries