Limit loads of variable-thickness circular plates accounting for transverse shear

1973 ◽  
Vol 8 (2) ◽  
pp. 108-112
Author(s):  
H M Haydl ◽  
A N Sherbourne

Limit loads of variable-thickness circular plates are given for the von Mises yield condition. The plates are loaded with a uniform transverse pressure and are hinge supported at the edge. The effect of transverse shear on the yield condition and the collapse load is examined. It is shown that the inclusion of transverse shear in the analysis leads to restrictions on the edge thickness of the plates.

1973 ◽  
Vol 40 (3) ◽  
pp. 799-802 ◽  
Author(s):  
H. M. Haydl ◽  
A. N. Sherbourne

Limit loads of circular plates under combined transverse and in-plane loading are given for the von Mises yield condition. Ivanov’s approximation to the Ilyushin yield surface is used. Collapse load interaction curves and stress fields are given for simply supported and clamped plates. The results are compared with existing solutions for the title problem based on the Tresca yield criterion.


1972 ◽  
Vol 22 (2) ◽  
pp. 296-300 ◽  
Author(s):  
H.M. Haydl ◽  
A.N. Sherbourne

Author(s):  
Thomasina V. Ball ◽  
Neil J. Balmforth

An asymptotic model is constructed to describe the bending of thin sheets, or plates, of viscoplastic fluid described by the Herschel–Bulkley constitutive law, which incorporates the von Mises yield condition and a nonlinear viscous stress. The model reduces to a number of previous ones from plasticity theory and viscous fluid mechanics in various limits. It is characterized by a yield criterion proposed by Ilyushin which compactly combines the effect of the bending moment and in-plane stress tensors through three particular invariants. The model is used to explore the bending of loaded flat plates, the deflection of impulsively driven circular plates, and the tension-controlled deflection of loaded beams.


A method for the analysis of the plastic deformation of a circular plate subject to projectile impact is presented based on the assumption that the material is rigid viscoplastic, obeying a von Mises yield condition and associated flow rule. The predictions of the analysis are com­pared with the results of experiments in which projectiles of different masses are fired at various velocities at clamped plates of mild steel. The plates used in the experiments are such that substantial plastic strains can develop, while the maximum displacements are of the same order as the thickness. The analytical method presented predicts the behaviour of the plates to within the accuracy of the tests. The material constants which fit the results are in accord with those obtained from different tests.


1991 ◽  
Vol 113 (4) ◽  
pp. 404-410 ◽  
Author(s):  
W. R. Chen ◽  
L. M. Keer

An incremental plasticity model is proposed based on the von-Mises yield condition, associated flow rule, and nonlinear kinematic hardening rule. In the present model, fatigue life prediction requires only the uniaxial cycle stress-strain curve and the uniaxial fatigue test results on smooth specimens. Experimental data of 304 stainless steel and 1045 carbon steel were used to validate this analytical model. It is shown that a reasonable description of steady-state hysteresis stress-strain loops and prediction of fatigue lives under various combined axial-torsional loadings are given by this model


AIAA Journal ◽  
1968 ◽  
Vol 6 (8) ◽  
pp. 1625-1626 ◽  
Author(s):  
ALAN P. SALZMAN ◽  
SHARAD A. PATEL

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