On the behaviour of rubberlike materials in compression and shear

Archive of Applied Mechanics - Tập 64 - Trang 136-146 - 1994
P. A. J. van den Bogert1, R. de Borst2
1Shell Research B. V., Rijswijk, The Netherlands
2Faculty of Civil Engineering/TNO Building and Construction Research, Delft University of Technology, Delft, The Netherlands

Tóm tắt

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.

Tài liệu tham khảo

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