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
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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.
- 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 (1959), 185–204. MR 106609, DOI https://doi.org/10.1090/S0033-569X-1959-0106609-6
- M. A. Biot, On the instability and folding deformation of a layered viscoelastic medium in compression, J. Appl. Mech. 26 (1959), 393–400. MR 0110315
M. A. Biot, Theory of stress-strain relations in anisotropic viscoelasticity and relaxation phenomena, J. Appl. Phys. 25, No. 11, 1385–1391 (1954)
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
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
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)
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)
M. A. Biot, Theory of stress-strain relations in anisotropic viscoelasticity and relaxation phenomena, J. Appl. Phys. 25, No. 11, 1385–1391 (1954)
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
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
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Article copyright:
© Copyright 1962
American Mathematical Society
