Plastic Analysis of Shallow Spherical Shells

1974 ◽  
Vol 41 (3) ◽  
pp. 593-598 ◽  
Author(s):  
H. M. Haydl ◽  
A. N. Sherbourne
Keyword(s):  
Transverse Shear ◽  
Yield Surface ◽  
Numerical Solutions ◽  
Plastic Yielding ◽  
Rigid Plastic ◽  
Spherical Shells ◽  
Shallow Shells ◽  
Von Mises Criterion ◽  
Plastic Analysis ◽  
Von Mises

Rigid-plastic yielding and postyielding of pressurized shallow spherical shells is considered. The analysis includes the contribution of the transverse shear to yielding. Two approximate numerical solutions are given for several shell configurations. The yield surface used is based on the von Mises criterion. The results show that the effects of geometry changes lead to “geometrical strengthening” and “geometrical weakening” of the shallow shells.

Elasto-Plastic Analysis of Reissner-Mindlin Plates

1990 ◽  
Vol 43 (5S) ◽  
pp. S40-S50 ◽  
Author(s):  
Panayiotis Papadopoulos ◽  
Robert L. Taylor
Keyword(s):  
Yield Function ◽  
Rate Equations ◽  
Test Problems ◽  
Field Equations ◽  
Element Analysis ◽  
Linear Hardening ◽  
Nonlinear Version ◽  
Plastic Analysis ◽  
Von Mises ◽  
Predictor Corrector

A finite element analysis of elasto-plastic Reissner-Mindlin plates is presented. The discrete field equations are derived from a nonlinear version of the Hu-Washizu variational principle. Associative plasticity, including linear hardening, is employed by means of a generalized von Mises-type yield function. A predictor/corrector scheme is used to integrate the plastic constitutive rate equations. Numerical simulations are conducted for a series of test problems to illustrate performance of the formulation.

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