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A Eulerian Approach to the Finite Element Modelling of neo-Hookean Rubber Material

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Integration of Theory and Applications in Applied Mechanics

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Abstract

A Eulerian approach is applied to the finite clement modelling of neo-Hookcan rubber material. Two major problems arc encountered. The first problem is the construction of an algorithm to calculate stresses in the rubber material from velocities instead of displacements. This problem is solved with an algorithm based on the definition of the velocity gradient. The second problem is the convection of stresses through the finite element mesh. This problem is solved by adapting the so-called Taylor-Galerkin technique. Solutions for both problems are implemented in a finite element program and their validity is shown by test problems. Results of these implementations are compared with results obtained by a standard Lagrangian approach finite element package and good agreement has been found.

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© 1990 Kluwer Academic Publishers

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van Hoogstraten, P.A.A., Slaats, P.M.A., Baaijens, F.P.T. (1990). A Eulerian Approach to the Finite Element Modelling of neo-Hookean Rubber Material. In: Dijksman, J.F., Nieuwstadt, F.T.M. (eds) Integration of Theory and Applications in Applied Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2125-2_20

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  • DOI: https://doi.org/10.1007/978-94-009-2125-2_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7456-8

  • Online ISBN: 978-94-009-2125-2

  • eBook Packages: Springer Book Archive

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