Abstract
It is proved that Johnson’s damage number is the sole similarity parameter for dynamic plastic shear failure of structures loaded impulsively, therefore, dynamic plastic shear failure can be understood when damage number reaches a critical value. It is suggested that the damage number be generally used to predict the dynamic plastic shear failure of structures under various kinds of dynamic loads (impulsive loading, rectangular pressure pulse, exponential pressure pulse, etc.,). One of the advantages for using the damage number to predict such kind of failure is that it is conveniently used for dissimilar material modeling.
Zusammenfassung
Es hat sich erwiesen, daß allein unter Verwendung der sog. Johnsonschen Schadenszahl des dynamisch-plastische Scherversagen von stoßartig belasteten Konstruktionen beschreiben werden kann, sofern ein bestimmter Wert dieser Kennzahl erreicht worden ist. Die generelle Verwendung dieser Kennzahl zur Vorhersage des dynamisch-plastischen Scherversagens von Konstruktionen, die einer dynamischen Belastung (stoßartige Belastung, Druckimpulse, steigende Druckbelastung u.s.w.) ausgesetzt sind, wird daher vorgeschlagen. Diese Kennzahl wird bereits erfolgreich zur Beschreibung unterschiedlicher Materialverhaltensweisen eingesetzt.
Similar content being viewed by others
Abbreviations
- Dn:
-
damage number
- H :
-
thickness of structures
- I :
-
impulse of rectangular pressure pulse
- I e :
-
effective impulse of applied load
- H(t):
-
Heaviside function
- k, k′:
-
material constant
- p 0 :
-
magnitude of rectangular pulse
- S :
-
sliding displacement
- t f :
-
time when plastic deformation ends
- t y :
-
time when plastic deformation begins
- T 0 :
-
time
- V 0 :
-
initial velocityá
- ρ :
-
material density
- σ 0 :
-
yield stress of material
- τ :
-
duration of rectangular pressure pulse
- m :
-
model
- p :
-
prototype
References
Menkes SB, Opat HJ (1973) Broken beams. Exp. Mech. 13, 480–486
Teeling-Smith RG, Nurick GN (1991) The deformation and tearing of thin circular plates subjected to impulsive loads. Int. J. Impact Engng 11, 77–91
Olson MD, Nurick GN, Fagnan JR (1993) Deformation and rupture of blast loaded Square plates-Prediction and experiments. Int. J. Impact Engng 13, 279–291
Liu JH, Jones N (1987) Experimental investigation of clamped beams Struck transversely by a mass. Int. Impact Engng 6, 303–335
Jouri WS, Jones N (1988) The impact behavior of aluminium alloy and mild steel double-shear specimens. Int. J. Mech. Sci. 30, 153–172
Jones N (1976) Plastic failure of duetile beams loaded dynamically. Trans. ASME, J. Eng. Indus. 98, 131–136
Duffey TA (1989) Dynamic rupture of Shells. In: Structural Failure. John Wiley & Sons
Zhao YP, Fang J, Yu TX (1994) Dynamic plastic shear failure analysis for an infinitely large plate with centred cylinder under impulsive loading. Int. J. Solids Structures 31, 1585–1595
Zhao YP, Yu TX, Fang J (1995) Influence of two secondary effects on shear failure of a cantilever with an attached mass block under impulsive loading. JSME Inter. J. 38, 236–241
Barenblatt GI (1992) Micromechanics of fracture. In: Theoretical and Applied Mechanics 1992. Elsevier Science Publishers B. V.
Barenblatt GI (1993) In: Modeling of Defects and Fracture Mechanics. Springer-Verlag
Hopkinson B (1915) British Ordnance Board Minutes 13565.
Davies IL (1982) Studies of the response of reinforced concrete structures to short duration dynamic loads. In: Design for Dynamic Loading. Construction Press
Baker WE, Westine PS, Dodge FT (1973) Similarity Methods in Engineering Dynamics. Hayden Book Company
Johnson W (1972) Impact Strength of Materials. Edward Arnold
Johnson W, Sengupta AK, Ghosh SK, Reid SR (1981) Mechanics of high speed impact at normal ineidence between plasticine long rods and plats. J. Mech. Phys. Solids 29 (5/6), 413–445
Author information
Authors and Affiliations
Additional information
The work is sponsored by the Foundation of the president of Institute of Mechanics, CAS, and the National Natural Science Foundation of China.
Rights and permissions
About this article
Cite this article
Zhao, YP. Prediction of structural dynamic plastic shear failure by Johnson’s damage number. Forsch Ing-Wes 63, 349–352 (1998). https://doi.org/10.1007/PL00010753
Received:
Issue Date:
DOI: https://doi.org/10.1007/PL00010753