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Mechanical characterization of nonlinear viscoelastic solids for iterative solution of boundary value problems

Mechanische Charakterisierung nichtlinearer viskoelastischer Festkörper zur iterativen Lösung von Randwertproblemen

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Summary

This paper considers a class of boundary value problems arising from quasi-static deformation of physically nonlinear viscoelastic solids. A scheme for characterization of mechanical response in a manner compatible with an algorithm for numerical solution of nonlinear boundary value problems is discussed. An illustrative example of an axially deformed statically indeterminate nonlinear viscoelastic rod is included.

Zusammenfassung

Die Arbeit betrachtet eine Klasse von Randwertproblemen, die in quasistatischen Deformationen physikalisch nichtlinearer viskoelastischer Festkörper ihren Ursprung haben. ein Schema zur Charakterisierung des mechanischen Verhaltens, in seiner Art mit einem Algorithmus zur numerischen Lösung nichtlinearer Randwertprobleme verträglich, wird diskutiert. Ein illustratives Beispiel eines axial verformten, statisch unbestimmten, nuchtlinear viskoelastischen Stabes ist eingeschlossen.

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References

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Authors and Affiliations

  1. University of California Lawrence Radiation Laboratory, Livermore, Calif., USA

    R. G. Dong

  2. University of California at Berkeley, Berkeley, Calif., USA

    K. S. Pister (Professor of Engineering Science) & R. S. Dunham (Graduate Student in Civil Engineering)

Authors
  1. R. G. Dong
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  2. K. S. Pister
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  3. R. S. Dunham
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Additional information

With 4 Figures

This work was supported in part by the Army Research Office, Durham, North Carolina, U. S. A.

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Dong, R.G., Pister, K.S. & Dunham, R.S. Mechanical characterization of nonlinear viscoelastic solids for iterative solution of boundary value problems. Acta Mechanica 9, 36–48 (1970). https://doi.org/10.1007/BF01176607

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  • DOI: https://doi.org/10.1007/BF01176607

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