Elastic-plastic behaviour of spherical shells with non-linear hardening properties

1991 ◽  
Vol 27 (12) ◽  
pp. 1499-1514 ◽  
Author(s):  
M.M. Megahed
Keyword(s):  
Spherical Shells ◽  
Linear Hardening ◽  
Elastic Plastic ◽  
Plastic Behaviour ◽  
Non Linear

scholarly journals Plastic deformations in the ring spherical shells

2018 ◽  
Vol 251 ◽  
pp. 04060
Author(s):  
Avgustina Astakhova
Keyword(s):  
Differential Equations ◽  
Numerical Solution ◽  
Thin Shells ◽  
Stress Dependence ◽  
Strain Intensity ◽  
Spherical Shells ◽  
Plastic Deformations ◽  
Linear Hardening ◽  
Elastic Plastic ◽  
Development Area

In the present work the results of the study of plastic deformations distribution in the thickness in ring spherical shells are presented. Resolving differential equations system is based on the Hirchhoff-Lave hypothesis, linear thin shells theory and small elastic-plastic deformations theory. The studying of the development area of plastic deformations in shells thickness are performed with using the results of the elastic solutions method. The basic relations of elastic solutions method that allow to determine the distribution areas of plastic deformations in shells thickness and along the generatrix are presented. The diagram of intense stress dependence from the strain intensity with linear hardening is received. The numerical solution is performed by orthogonal run method. Long and short spherical shells under the operation of three evenly distributed ring loads are observed. The shells have a tough jamming along the contour at the bottom and at the top. Dependency between tension intensity and deformations intensity is accepted for the case of a material linear hardening. Area of plastic deformations in shells thickness for three kinds of ring spherical shells are shown. The results for the loads differed by the value in twice are presented.

scholarly journals Unidirectional compression of fibre reinforcements. Part 1: A non-linear elastic-plastic behaviour

2007 ◽  
Vol 67 (3-4) ◽  
pp. 507-514 ◽  
Author(s):  
S. Comas-Cardona ◽  
P. Le Grognec ◽  
C. Binetruy ◽  
P. Krawczak
Keyword(s):  
Elastic Plastic ◽  
Linear Elastic ◽  
Plastic Behaviour ◽  
Non Linear

The elastic–plastic behaviour of foam under shock loading

Shock Waves ◽  
2012 ◽  
Vol 23 (1) ◽  
pp. 55-67 ◽  
Author(s):  
O. E. Petel ◽  
S. Ouellet ◽  
A. J. Higgins ◽  
D. L. Frost
Keyword(s):  
Shock Loading ◽  
Elastic Plastic ◽  
Plastic Behaviour

Evaluating Shakedown for Structures Based on the Element Bearing-Ratio

2011 ◽  
Vol 137 ◽  
pp. 16-23 ◽  
Author(s):  
Wei Zhang ◽  
Lu Feng Yang ◽  
Chuan Xiong Fu ◽  
Jian Wang
Keyword(s):  
Yield Criterion ◽  
Solution Procedure ◽  
Superposition Method ◽  
Linear Superposition ◽  
Non Linear Programming ◽  
Elastic Plastic ◽  
Non Linear ◽  
Efficiency And Effectiveness ◽  
Linear Programming Formulation ◽  
Element Bearing

Based on Melan’s theorem, an improved numerical solution procedure for evaluating shakedown loads by non-linear superposition method is presented, and the relationship between the classical non-linear programming formulation of shakedown problem and the numerical method is disclosed. The stress term in classical optimization problem is replaced by the element bearing-ratio (EBR) in the procedure, and series of residual EBR fields can be generated by the D-value of the elastic-plastic EBR fields and the elastic EBR fields at every incremental loading step. The shakedown load is determined by performing the incremental non-linear static analysis when the yield criterion is arrived either by the elastic-plastic EBR fields or residual EBR fields. By introducing the EBR, the proposed procedure can be easily used to those complex structures with multi-material and complicated configuration. The procedure is described in detail and some numerical results, that show the efficiency and effectiveness of the proposed method, are reported and discussed.

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