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On a Partial Integro-Differential Equation Related to the Dynaliser Concept for Industrial Rubber Materials

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Proceedings of the Third European Conference on Mathematics in Industry

Part of the book series: European Consortium for Mathematics in Industry ((ECMI,volume 5))

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Abstract

A rubber block is strained in a stepwise manner During a time interval (0, T) it undergoes a constant relative deformation x 0. At t = T the sample is suddenly released from the imposed strain. The problem is to determine the relative residual deformation x(t).

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References

  1. Devis J.: ‘Operational Manual of the Dynaliser Model V ’: Bergougnan Instruments,Ghent,(1987)

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  2. Doetsch G.: ‘Handbuch der Laplace-Transformation,I ’: Birkhâuser Verlag, Basel,(1971)

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  3. Ferry J.D.: ‘Visco Elastic Properties of Polymers’: John Wiley and Sons,N.Y. (1975)

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  4. Honig G., Hirdes U.: ‘A Method for the Numerical Inversion of Laplace Transforms’: J.Comp.and Appl.Math., 10, (1984), 113–132

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  5. Peters J. et al: ‘The Measurement of the Elastic and Loss Moduli of Rubber and Rubberlike Materials’: Academiae Analecta,43,no.3,(1981)

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© 1990 B. G. Teubner Stuttgart and Kluwer Academic Publishers

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Van Keer, R., Serras, H. (1990). On a Partial Integro-Differential Equation Related to the Dynaliser Concept for Industrial Rubber Materials. In: Manley, J., McKee, S., Owens, D. (eds) Proceedings of the Third European Conference on Mathematics in Industry. European Consortium for Mathematics in Industry, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0629-7_58

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  • DOI: https://doi.org/10.1007/978-94-009-0629-7_58

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6770-6

  • Online ISBN: 978-94-009-0629-7

  • eBook Packages: Springer Book Archive

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