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Prediction of structural dynamic plastic shear failure by Johnson’s damage number

Vorhersage des dynamisch-plastischen Scherversagens von Konstruktionen durch die Johnsonsche Schadenszahl

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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.

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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

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The work is sponsored by the Foundation of the president of Institute of Mechanics, CAS, and the National Natural Science Foundation of China.

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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

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  • DOI: https://doi.org/10.1007/PL00010753

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