Rayleigh–Taylor stability criteria for elastic-plastic solid plates and shells

1997 ◽  
Vol 82 (1) ◽  
pp. 163-170 ◽  
Author(s):  
E. L. Ruden ◽  
D. E. Bell
Keyword(s):  
Stability Criteria ◽  
Elastic Plastic ◽  
Plates And Shells

The Inelastic Line-Spring: Estimates of Elastic-Plastic Fracture Mechanics Parameters for Surface-Cracked Plates and Shells

1981 ◽  
Vol 103 (3) ◽  
pp. 246-254 ◽  
Author(s):  
D. M. Parks
Keyword(s):  
Fracture Mechanics ◽  
Crack Growth ◽  
Computing Time ◽  
Crack Tip ◽  
J Integral ◽  
Crack Tip Opening Displacement ◽  
Opening Displacement ◽  
Elastic Plastic ◽  
Plates And Shells ◽  
Crack Tip Opening

Recent studies of the mechanics of elastic-plastic and fully plastic crack growth suggest that such parameters as the J-integral and the crack tip opening displacement can, under certain conditions, be used to correlate the initiation and early increments of the ductile tearing mode of crack growth. To date, elastic-plastic fracture mechanics has been applied mainly to test specimen geometries, but there is a clear need for developing practical analysis capabilities in structures. In principle, three-dimensional elastic-plastic finite element analysis could be performed, but, in fact, such analyses would be prohibitively expensive for routine application. In the present work, the line-spring model of Rice and Levy [1-3] is extended to estimate the J-integral and crack tip opening displacement for some surface crack geometries in plates and shells. Good agreement with related solutions is obtained while using orders of magnitude less computing time.

Analysis of Elastic-Plastic Plates and Shells Under Cyclic Loading

1978 ◽  
Vol 100 (4) ◽  
pp. 344-349
Author(s):  
K. W. Neale ◽  
Z. Nazli
Keyword(s):  
Approximate Solution ◽  
Cyclic Loading ◽  
Kinematic Hardening ◽  
Axial Stress ◽  
Repeated Loading ◽  
Elastic Plastic ◽  
Plate And Shell ◽  
Rate Form ◽  
Plates And Shells ◽  
Stress States

The behavior of elastic-plastic plate and shell structures under repeated loading is considered. The typical problem is formulated in incremental or “rate” form, and a variational method is applied to furnish an approximate solution in a stepwise fashion. In the analysis, Ziegler’s model of kinematic hardening is adopted together with a generalization of Masing’s rule for multi-axial stress states in order to describe material response under cyclic loading. Examples of application of the analysis include cylindrical shells and circular plates subjected to cyclically varying loads. The accuracy of the approximate solution in each case is assessed through a comparison of numerical results with published experimental data for monotonic loading conditions.

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