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Modelling of a Cellular Rubber with Nonlinear Viscosity Functions

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In this paper a porous carbon black-filled rubber is investigated under uniaxial tension. On the experimental site the main focus of attention lies on the Mullins effect, the thixotropic and the viscoelastic behaviour. Because of the two phase character of cellular rubber, the Theory of Porous Media is taken into account. Performing a proper preconditioning, the Mullins effect can be eliminated. Hence, it is not included in the material model. The constitutive model for the basic elasticity is based on a polynomial approach for an incompressible material which is expanded by a volumetric term to include the structural compressibility. Finally, the concept of finite viscoelasticity is applied introducing an intermediate configuration. Nonlinear relaxation functions are used to model the process dependent relaxation times, to simulate the thixotropy and the highly nonlinear behaviour concerning the deformation and feedrate. The material parameters of the model are estimated using a stochastic identification algorithm.

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The authors gratefully acknowledge the funding by the German Science Foundation (DFG) under the grant DI 930/9-1

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Correspondence to N. Koprowski-Theiß.

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Koprowski-Theiß, N., Johlitz, M. & Diebels, S. Modelling of a Cellular Rubber with Nonlinear Viscosity Functions. Exp Mech 51, 749–765 (2011). https://doi.org/10.1007/s11340-010-9376-9

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  • Cellular rubber
  • Finite viscoelasticity
  • Thixotropy
  • Compressibility