Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On the folding of a viscoelastic medium with adhering layer under compressive initial stress

Authors: M. A. Biot and H. Ode
Journal: Quart. Appl. Math. 19 (1962), 351-355
DOI: https://doi.org/10.1090/qam/99966
MathSciNet review: QAM99966
Full-text PDF Free Access

Abstract | References | Additional Information

Abstract: The exact solution is given for the folding by compression of a viscoelastic layer embedded in a viscoelastic medium, under the assumption that there is perfect adherence between layer and medium. This solution agrees closely with the earlier result obtained by Biot which was based on the assumption that layer and medium could slip over each other.

References [Enhancements On Off] (What's this?)

  • [1] M. A. Biot, Folding of a layered viscoelastic medium derived from an exact stability theory of a continuum under initial stress, Quart. Appl. Math., 17, No. 2, 185-204 (1959) MR 0106609
  • [2] M. A. Biot, On the instability and folding deformation of a layered viscoelastic medium in compression, J. Appl. Mech., Am. Soc. Mech. Engrs. 26, 393-400 (1959b) MR 0110315
  • [3] M. A. Biot, Theory of stress-strain relations in anisotropic viscoelasticity and relaxation phenomena, J. Appl. Phys. 25, No. 11, 1385-1391 (1954)
  • [4] M. A. Biot, Dynamics of viscoelastic anisotropic media, Proc. Second Midwestern Conf. Solid Mech., Research Series No. 129, Engineering Experiment Station, Purdue University, Lafayette, Ind., pp. 94-108, 1955
  • [5] M. A. Biot, Variational and Lagrangian methods in viscoelasticity, in Deformation and Flow of Solids (R. Grammel, ed.), Springer-Verlag, Berlin, 1956, pp. 251-263

Additional Information

DOI: https://doi.org/10.1090/qam/99966
Article copyright: © Copyright 1962 American Mathematical Society

American Mathematical Society