Summary
The mechanical behaviour of rubberlike materials is modelled in a phenomenological approach using a strain-energy formulation. Nonhomogeneous shear experiments on solid rubber specimens have been carried out as well as simple elongation tests on the same rubber compound. The elongation tests have been used to determine the model constants. By a comparison between experiment and numerical simulation of the nonhomogeneous shear test the predictive capabilities of the Mooney-Rivlin, the Ogden and the Besseling model have been assessed for compression-shear deformation paths. An analytical study explains the numerically observed behaviour.
Übersicht
Das mechanische Verhalten von Gummimaterialien wird phänomenologisch modelliert unter Anwendung einer Formänderungsenergiefunktion. Es sind nicht-homogene Schubversuche auf dreidimensionale Versuchsproben aus Gummi so wie auch einfache Verlängerungsversuche auf Gummiproben der gleichen Zusammenstellung durchgeführt worden. Die Verlängerungsversuche sind durchgeführt worden um die Stoffkennwerte feststellen zu können. In einer Vergleichung zwischen dem Experiment und der numerischen Simulation von nicht-homogenen Schubversuchen ist die Genauigkeit des Mooney-Rivlinschen Modells, des Ogdenschen Modells und des Besselingschen Modells für kombinierte Druck-Schubverformungen festgestellt worden. In einem analytischen Studium wird das numerisch betrachtete Verhalten auseinandergesetzt.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bogert, P. A. J. van den: Computational modelling of rubberlike material behaviour. Dissertation, Delft University of Technology, 1991.
Borst, R. de; Bogert, P. A. J. van den; Zeilmaker,J.: Modelling and analysis of rubberlike materials. Heron 33 (1988)
Mooney, M.: A theory of elastic deformations. J. Appl. Physics 11 (1940) 582
Rivlin, R. S.: Large elastic deformations of isotropic materials, fundamental concepts. Phil. Trans. Roy. Soc. Soc/A 240 (1948) 459–490
Blatz, P. J.; Ko, W. L.: Application of finite elasticity theory to the deformation of rubber materials. Trans. Soc. Rheology 6 (1962) 223–251
Besseling, J. F.: Finite element properties based upon elastic potential interpolation. In: Atluri, S. N.; Gallagher, R. H.; Zienkiewicz, O. C. (eds.) Hybrid and Mixed Finite Element Methods, pp. 253–266. New York: Wiley and Sons 1983
Peng, S. T. J.; Landel, R. F.: Stored energy function of rubberlike materials derived from simple tensile data. J. Appl. Physics 43 (1972) 3063–3067
Ogden, R. W.: Large deformation isotropic elasticity: on the correlation of theory and experiment for incompressible rubberlike solids. Proc. Roy. Soc. London/A 326 (1972) 565–584
Ogden, R. W.: Volume changes associated with the deformation of rubberlike solids. J. Mech. Phys. Solids 24 (1976) 323–338
Peng, S. T. J.; Landel, R. F.: Stored energy function and compressibility of compressible rubberlike materials under large strain. J. Appl. Physics 46 (1975) 2599–2604
Steen, J.: Testing rubber composition (in Dutch), Report 820/89, TNO Centre for Polymeric Materials, Delft, 1989
Bogert, P. A. J. van den: Rubber specimen loaded in shear and compression; experiment and calculation. Report 25.2.89.22, Delft University of Technology, Delft, 1990
Bogert, P. A. J. van den; Borst, R. de; Luiten, G. T.; Zeilmaker, J.: Robust finite elements for 3D-analysis of rubberlike materials. Engng. Comput.8 (1991) 3–17
Mullins, L.: Effect of stretching on the properties of rubber. J. Rubber Research 16 (1947) 275–289
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
van den Bogert, P.A.J., de Borst, R. On the behaviour of rubberlike materials in compression and shear. Arch. Appl. Mech. 64, 136–146 (1994). https://doi.org/10.1007/BF00789105
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00789105