The event of rigid solids impacting a viscoelastic body is encountered in many engineering disciplines. However, for this problem no analytical solution is available, making the proper design of, e.g., protective bodies a difficult task. As a remedy, generally valid solutions in form of nondimensional response curves are presented in this paper, serving as reference for validation purposes or as design charts for the performance-oriented development of impact absorbers. Hereby, the problem of a frictionless rigid sphere impinging a viscoelastic half-space is investigated by finite-element analyses. The general applicability of the results is assured by a transformation to dimensionless problem parameters. For this purpose, the analytical solution by Hertz (1881, “Über die Berührung fester elastischer Körper,” J. die Reine Angew. Math., 1882(92), pp. 156–171) for the purely elastic impact is taken into account. The chosen nondimensional format leads to a reduced number of system parameters, allowing for a compact representation by so-called master curves. From these, optimal material characteristics are found for three different design objectives.
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December 2015
Research-Article
Multifunctional Optimization of Viscoelastic Materials Subjected to Spherical Impact
Martin Herrenbrück,
Martin Herrenbrück
Fachgebiet Computational Mechanics,
Technische Universität München,
München 80333, Germany
e-mail: herrenbruck@gmail.com
Technische Universität München,
München 80333, Germany
e-mail: herrenbruck@gmail.com
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Fabian Duddeck,
Fabian Duddeck
Professor
Fachgebiet Computational Mechanics,
Technische Universität München,
München 80333, Germany
e-mail: duddeck@tum.de
Fachgebiet Computational Mechanics,
Technische Universität München,
München 80333, Germany
e-mail: duddeck@tum.de
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Roman Lackner
Roman Lackner
Professor
Arbeitsbereich für Materialtechnologie,
Leopold-Franzens-Universität Innsbruck,
Innsbruck 6020, Austria
e-mail: Roman.Lackner@uibk.ac.at
Arbeitsbereich für Materialtechnologie,
Leopold-Franzens-Universität Innsbruck,
Innsbruck 6020, Austria
e-mail: Roman.Lackner@uibk.ac.at
Search for other works by this author on:
Martin Herrenbrück
Fachgebiet Computational Mechanics,
Technische Universität München,
München 80333, Germany
e-mail: herrenbruck@gmail.com
Technische Universität München,
München 80333, Germany
e-mail: herrenbruck@gmail.com
Fabian Duddeck
Professor
Fachgebiet Computational Mechanics,
Technische Universität München,
München 80333, Germany
e-mail: duddeck@tum.de
Fachgebiet Computational Mechanics,
Technische Universität München,
München 80333, Germany
e-mail: duddeck@tum.de
Roman Lackner
Professor
Arbeitsbereich für Materialtechnologie,
Leopold-Franzens-Universität Innsbruck,
Innsbruck 6020, Austria
e-mail: Roman.Lackner@uibk.ac.at
Arbeitsbereich für Materialtechnologie,
Leopold-Franzens-Universität Innsbruck,
Innsbruck 6020, Austria
e-mail: Roman.Lackner@uibk.ac.at
1Corresponding author.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received June 13, 2015; final manuscript received September 3, 2015; published online September 28, 2015. Assoc. Editor: Weinong Chen.
J. Appl. Mech. Dec 2015, 82(12): 121009 (8 pages)
Published Online: September 28, 2015
Article history
Received:
June 13, 2015
Revised:
September 3, 2015
Citation
Herrenbrück, M., Duddeck, F., and Lackner, R. (September 28, 2015). "Multifunctional Optimization of Viscoelastic Materials Subjected to Spherical Impact." ASME. J. Appl. Mech. December 2015; 82(12): 121009. https://doi.org/10.1115/1.4031554
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