On viscoplastic and elastic-plastic oscillators
Authors:
M. Mihăilescu-Suliciu, I. Suliciu and W. Williams
Journal:
Quart. Appl. Math. 47 (1989), 105-116
MSC:
Primary 73F30; Secondary 73E50, 73F15
DOI:
https://doi.org/10.1090/qam/987899
MathSciNet review:
987899
Full-text PDF Free Access
References |
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Additional Information
- James F. Bell, The experimental foundations of solid mechanics, Mechanics of Solids, I, Springer-Verlag, Berlin, 1984. Reprint of the 1973 original. MR 763158
- N. Cristescu and I. Suliciu, Viscoplasticity, Mechanics of Plastic Solids, vol. 5, Martinus Nijhoff Publishers, The Hague, 1982. Translated from the Romanian. MR 691135
- G. Duvaut and J.-L. Lions, Inequalities in mechanics and physics, Springer-Verlag, Berlin-New York, 1976. Translated from the French by C. W. John; Grundlehren der Mathematischen Wissenschaften, 219. MR 0521262
- Morton E. Gurtin, William O. Williams, and Ion Suliciu, On rate-type constitutive equations and the energy of viscoelastic and viscoplastic materials, Internat. J. Solids Structures 16 (1980), no. 7, 607–617. MR 574492, DOI https://doi.org/10.1016/0020-7683%2880%2990020-7
- David R. Owen, Weakly decaying energy separation and uniqueness of motions of an elastic-plastic oscillator with work-hardening, Arch. Rational Mech. Anal. 98 (1987), no. 2, 95–114. MR 866716, DOI https://doi.org/10.1007/BF00251228
- Jack L. Buhite and David R. Owen, An ordinary differential equation from the theory of plasticity, Arch. Rational Mech. Anal. 71 (1979), no. 4, 357–383. MR 533288, DOI https://doi.org/10.1007/BF00247709
- Bernard D. Coleman and Victor J. Mizel, On the stability of solutions of functional-differential equations, Arch. Rational Mech. Anal. 30 (1968), 173–196. MR 229933, DOI https://doi.org/10.1007/BF00253873
M. Zyczkowski, Combined Loadings in the Theory of Plasticity, Martinus–Nijhoff, The Hague, 1982
J. F. Bell, The experimental foundations of solid mechanics, in Handbuch der Physik, VIa/1, Springer, New York, 1973
N. Cristescu and I. Suliciu, Viscoplasticity, Martinus–Nijhoff, The Hague, 1982
G. Duvaut and J.-L. Lions, Inequalities in Mechanics and Physics, Springer, New York, 1976
M. E. Gurtin, I. Suliciu, and W. O. Williams, On rate-type constitutive equations and the energy of viscoelastic and viscoplastic materials, Internat. J. Solids Structures 16, 607–617 (1980)
D. R. Owen, Weakly decaying energy separation and uniqueness of motions of an elastic-plastic oscillator with work-hardening, Arch. Rat. Mech. Anal. 96, 95–114 (1987)
J. L. Buhite and D. R. Owen, An ordinary differential equation from the theory of plasticity, Arch. Rat. Mech. Anal. 71, 357–383 (1979)
B. D. Coleman and V. J. Mizel, On the stability of solutions of functional-differential equations, Arch. Rat. Mech. Anal. 30, 173–196 (1968)
M. Zyczkowski, Combined Loadings in the Theory of Plasticity, Martinus–Nijhoff, The Hague, 1982
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Article copyright:
© Copyright 1989
American Mathematical Society
