Si considera il problema del mancato adattamento in campo dinamico per strutture elasto-plastiche incrudenti. Si dimostrano una condizione necessaria ed una sufficiente per il verificarsi di fenomeni di inadattamento (plasticità alternata o collasso incrementale) estendendo risultati precedenti ad un'ampia classe di modelli costitutivi a variabili interne in grado di rappresentare comportamenti incrudenti non lineari.
Referenze Bibliografiche
[1] J. A. KÓNIG - G. MAIER, Shakedown analysis of elastoplastic structures: a review of recent developments. Nuclear Engineering Design, 66, 1981, 81-95.
[2] J. A. KÓNIG , Shakedown of elastic-plastic structures. Elsevier, Amsterdam 1987.
[3]
C. POLIZZOTTO,
A unified treatment of shakedown theory and related bounding techniques.
S. M. Archives,
7,
1982, 19-75. |
Zbl 0487.73035[4]
E. MELAN,
Zur Plastizität des räumlichen Kontinuums,
Ing. Arch.,
9,
1938, 116-126. |
Jbk 64.0840.01[5]
W. T. KOITER,
A new general theorem on shakedown of elastic-plastic structures.
Proc. Kon. Nederl. Akad. Wet., B
59, 4,
1956, 24. |
MR 76582 |
Zbl 0074.40801[6] G. MAIER, A shakedown matrix theory allowing for work-hardening and second-order geometric effects. In: A. SAWCZUK (éd.), Foundation of Plasticity. Noordhoff, Leyden, 1, 1973, 417-433.
[7]
G. MAIER -
G. NOVATI,
Deformation bounds for elastic-plastic discrete structures with piecewise yield locus and non linear hardening. In:
D. R. J. OWEN,
E. HINTON and
E. ONATE (eds.),
Computational Plasticity.
Pineridge Press, Swansea (U.K.)
1987, 17-31. |
MR 960312[8]
D. WEICHERT -
J. GROSS-WEEGE,
The numerical assessment of elastic-plastic sheets under variable mechanical and thermal loads using a simplified two-surface yield condition.
Int. J. Mech. Sci.,
30, n. 10,
1988, 757-767. |
Zbl 0669.73029[9] G. CERADINI, Sull'adattamento dei corpi elastoplastici soggetti ad azioni dinamiche. Giornale del Genio Civile, n. 415, 1969, 239-258.
[10]
G. MAIER -
G. NOVATI,
Dynamic shakedown and bounding theory for a class of nonlinear hardening discrete structural models.
Int. J. of Plasticity, in corso di stampa. |
Zbl 0731.73022[11]
C. COMI -
A. CORIGLIANO,
Estensione di un teorema sull'adattamento in dinamica elasto-plastica.
Rend. Mat. Acc. Lincei, s. 9, v.
1, fasc. 2,
1990, 151-159. |
fulltext bdim |
MR 1081398 |
Zbl 0702.73028[12]
L. CORRADI -
G. MAIER,
Dynamic non-shakedown theorem for elastic perfectly-plastic continua.
J. of Mech. and Physics of Solids,
22,
1974, 401-413. |
Zbl 0304.73039[13]
L. CORRADI -
G. MAIER,
Inadaptation theorems in the dynamics of elastic-workhardening structures.
Ingénieur Archiv.,
43,
1973, 44-57. |
MR 413698 |
Zbl 0271.73030[15]
T. PANZECA -
C. POLIZZOTTO,
On shakedown of elastic-plastic solids.
Meccanica,
23,
1988, 96-101. |
Zbl 0672.73034[16]
B. HALPHEN -
Q. S. NGUYEN,
Sur les matériaux standards généralisés.
J. de Mécanique,
14, n. 1,
1975, 39-63. |
MR 416177 |
Zbl 0308.73017[17] J. LEMAITRE - J. L. CHABOCHE, Mécanique des matériaux solides. Dunod, Paris 1985.
[18]
L. CORRADI,
On compatible finite models for elastic plastic analysis.
Meccanica,
13,
1978, 133-150. |
Zbl 0417.73073[19] C. COMI - G. MAIER - U. PEREGO, Generalized variables time integration and extremum theorems in elastoplasticity with internal variables. In preparazione.
Con il contributo del Ministero per i Beni e le Attività Culturali