Ad hoc exact solutions for the stress and velocity fields in rigid, perfectly plastic materials under plane-strain conditions

International Journal of Plasticity

Volumn 12, Issue 8, 1996, Pages 1069-1109

  Panayotounakos, D E ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; NUMERICAL ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS; PLASTICITY; PROBLEM SOLVING; STRAIN; STRESS CONCENTRATION; VELOCITY;

AD HOC EXACT SOLUTIONS; INCOMPRESSIBILITY; PLANE STRESS CONDITIONS; SAINT VENANT-VON MISES THEORY; VON MISES HENCKY CONDITION;

PLASTICS;

EID: 0030419219     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(96)00042-3     Document Type: Article

References (16)

1. 1950 Hill, R., The Mathematical Theory of Plasticity. Oxford University Press, London.
2. 1950 Tamada, K., "Studies in the Two-Dimensional Flow of a Gas, With Special Reference to the Flow Through Various Nozzles," Ph. D. Dissertation, Un. of Kyoto, Japan.
3. 1954 Prager, W. and Hodge, P.G., Theory of Perfectly Plastic Solids, German tr. Springer, Wien.
4. 1957 Sneddon, I.N., Elements of Partial Differential Equations. McGraw Hill, New York.
5. 1958 Freudenthal, A.M. and Geiringer, H., "The Mathematical Theories of the Inelastic Continuum," in Handbuch der Physik. Springer, Berlin Vol. 6, pp. 229-443.
6. 1962 Pai, S.I., Magnetogas-Dynamics and Plasma Dynamics. Springer, Vienna (see also Ames, W. [1965], p. 192).
7. 1965 Ames, W., Nonlinear Partial Differential Equations in Egineering. Academic Press, New York.
8. 1965 Gradshteyn, I.S. and Ryzhik, I.M., Table of Integrals, Series and Products. Academic Press, New York.
9. 1965 Sokolovskii, V.V., Statics of Granular Media. Pergamon Press, Oxford, New York.
10. 1974 Kachanov, L.M., Fundamentals of the Theory of Plasticity. Mir. Publ., Moscow.
11. 1984 Absi, E., "La Theorie de la Plasticite et l'Equilibre Limite en Mecanique des Sols," Annales, 421, 66-123.
12. 1989 Panayotounakos, E.E. and Andrianopoulos, N., "A Closed Form Solution for the Stress Field in a Rigid Perfectly Plastc Material Under Plane Strain Conditions," Acta mechanica, 77, 307-313.
13. 1989 Panayotounakos, D.E. and Zisis, B., "Closed-Form Solutions of the Nonlinear P.D.E.s Governing the Stress Field in a Rigid, Perfectly Plastic Body," SIAM J. Appl. Math., 5, 1374-1389.
14. 1993 Panayotounakos, D. E., "An Ad Hoc Exact Solution for the Stress Field in Rigid Perfectly Plastic Materials Under Plane Strain Conditions," Fourth Int. Symp. on Plasticity and its Current Applications, Baltimore, MD 19-23 July.
15. 1993 Panayotounakos, D.E. and Andrianopoulos, N., "A Closed Form Solution in a Rigid, Perfectly Plastic Material Under Plane Strain Conditions - Erratum," Acta Mechanica, under publication.
16. 1993 Panayotounakos, D.E. and Zisis, B., "Restoration of the Solutions of the Nonlinear P.D.E.s Governing the Stress Field in Rigid, Perfectly Plastic Materials" (submitted for publication).