Quasistatic processes for elastic-viscoplastic materials
Authors:
Ioan R. Ionescu and Mircea Sofonea
Journal:
Quart. Appl. Math. 46 (1988), 229-243
MSC:
Primary 73F15; Secondary 73F30
DOI:
https://doi.org/10.1090/qam/950599
MathSciNet review:
950599
Full-text PDF Free Access
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Additional Information
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- Gabriele Anzellotti and Mariano Giaquinta, Existence of the displacement field for an elastoplastic body subject to Hencky’s law and von Mises yield condition, Manuscripta Math. 32 (1980), no. 1-2, 101–136. MR 592713, DOI https://doi.org/10.1007/BF01298185
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I. R. Ionescu and M. Sofonea, On existence and behaviour of the solution of a quasistatic elastic-visco-plastic problem, Preprint Series in Math., INCREST, Bucharest, 37 (1985)
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P. Mazilu and S. Sburlan, Metode functional în rezolvarea ecuatiilor teoriei elasticitǎtii (Functional methods for the solving of the equations of the theory of elasticity), Ed. Acad. RSR, Bucuresti (1973)
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P. Suquet, Plasticité et homogénéisation, Thèse, Université Paris 6 (1982)
G. Anzellotti, On the existence of the rates of stress and displacement for Prandtl-Reuss plasticity, Quart. Appl. Math. 61, 181–208 (1983)
G. Anzellotti and M. Giaquinta, Existence of the displacement field for an elastoplastic body subject to Hencky’s law and von Mises yield condition, Manuscripta Math. 32, 101–136 (1980)
N. Cristescu and I. Suliciu, Viscoplasticity, Martinus Nijhoff, The Netherlands, Ed. Tehnicǎ, Bucharest (1982)
G. Dincǎ, Sur la monotonie d’après Minty-Browder de l’opérateur de la théorie de la plasticité, C. R. Acad. Sci. Paris 269, 535–538 (1969)
M. Djaoua and P. Suquet, Evolution quasi-statique des milieux visco-plastique de Maxwell-Norton, Math. Methods Appl. Sci. 6 192–205 (1984)
G. Duvaut and J. L. Lions, Les inéquations en mécanique et en physique, Dunod, Paris (1972)
G. Fichera, Existence theorems in elasticity, Handbuch der Physik, VI/a 2, Springer-Verlag, Berlin (1972)
H. Geiringer and A. M. Freudenthal, The mathematical theories of the inelastic continuum, Handbuch der Physik, Springer-Verlag, Berlin (1958)
M. E. Gurtin, W. O. Williams, and I. Suliciu, On rate-type constitutive equations and the energy of viscoelastic and viscoplastic materials, Internat. J. Solids and Structures 16, 607–617 (1980)
W. Hahn, Stability of motion, Springer-Verlag, Berlin (1967)
I. R. Ionescu and M. Sofonea, On existence and behaviour of the solution of a quasistatic elastic-visco-plastic problem, Preprint Series in Math., INCREST, Bucharest, 37 (1985)
D. L. Lovelady and R. H . Martin, Jr., A global existence theorem for a nonautonomous differential equation in a Banach space, Proc. Amer. Math. Soc. 35, 445–449 (1972)
P. Mazilu and S. Sburlan, Metode functional în rezolvarea ecuatiilor teoriei elasticitǎtii (Functional methods for the solving of the equations of the theory of elasticity), Ed. Acad. RSR, Bucuresti (1973)
N. Pavel and C. Ursescu, Existence and uniqueness for some nonlinear functional equations in a Banach space, An. Stiint Univ. “Al. I. Cuza” Iasi Sect. Ia Mat. 20, 53–58 (1974)
P. Podio-Guidugli and I. Suliciu, On rate-type viscoelasticity and the second law of thermodynamics, Internat. J. Non-Linear Mech. 19, 6, 545–564 (1984)
I. Suliciu, Some energetic properties of smooth solutions in rate-type viscoelasticity, Internat. J. Non-Linear Mech. 19, 6, 525–544 (1984)
P. Suquet, Sur les équations de la plasticité: existence et régularité des solutions, J. Méc. Théor. Appl. 20, 3–39 (1981)
P. Suquet, Evolution problems for a class of dissipative materials, Quart Appl. Math. 38, 391–414 (1981)
J. Nečas and J. Kratochvil, On the existence of solutions of boundary-value problems for elastic-inelastic solids, Comment. Math. Univ. Carolinae 14, 755–760 (1973)
P. Laborde, On visco-plasticity with hardening, Numer. Funct. Anal. Optim. 1, 315–339 (1979)
P. Suquet, Plasticité et homogénéisation, Thèse, Université Paris 6 (1982)
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© Copyright 1988
American Mathematical Society
