scholarly journals Elastic-plastic large deformation analysis of curved beam with thin walled cross section.

1988 ◽  
Vol 54 (497) ◽  
pp. 163-169
Author(s):  
Hiroaki KATORI ◽  
Toru NISHIMURA
Keyword(s):  
Large Deformation ◽  
Cross Section ◽  
Deformation Analysis ◽  
Curved Beam ◽  
Large Deformation Analysis ◽  
Elastic Plastic ◽  
Thin Walled

Large Deformation Analysis by Smoothed Particle Hydrodynamics

2006 ◽  
Author(s):  
Yoichi Kawashima ◽  
Yuzuru Sakai ◽  
Nobuki Yamagata
Keyword(s):  
Large Deformation ◽  
Smoothed Particle Hydrodynamics ◽  
Particle Density ◽  
Deformation Analysis ◽  
Test Problems ◽  
Large Deformation Analysis ◽  
Elastic Plastic ◽  
Particle Hydrodynamics ◽  
Hyper Elastic ◽  
Smoothed Particle

Smoothed particle hydrodynamics (SPH)[1] is extended to the elastic-plastic large deformation analysis of metals and the hyper-elastic analysis of rubbers. The elastic-plastic analysis theory and the large deformation theory used in this study are fundamentally similar to those of FEM however the theories are applied at the particle points within a smoothing radius in SPH models. In this study the volume constant condition is imposed on the plastic deformation process using a pressure equation given by the particle density condition in a unit volume. Test problems show that the large deformation analysis by SPH leads to good stability and accuracy comparing with FEM results.

Expressions of Load and Structural Deformation Relationship for Cylindrical and Spherical Vessels Under Internal Pressure

2010 ◽  
Author(s):  
Yang-chun Deng ◽  
Gang Chen
Keyword(s):  
Internal Pressure ◽  
Large Deformation ◽  
Pressure Vessel ◽  
Small Deformation ◽  
Plastic Instability ◽  
Structural Deformation ◽  
Deformation Analysis ◽  
Large Deformation Analysis ◽  
Thin Walled ◽  
Deformation Relationship

Large deformation analysis for pressure vessel is much more complex than small deformation analysis, therefore, right now, there is no common recognized direct solution for load bearing capacity of pressure vessel yet, and this restrict the application of large deformation analysis in pressure vessel design. This paper based on elastic-plastic theory and considered material strain hardening and structural deformation effects, expressions of load and structural deformation relationship were the first time being derived for cylindrical and spherical vessels under internal pressure. And its practical value is equivalent to principal stress equations of thin-walled cylindrical and spherical vessels with considering non-linear structural deformation effect. Based on the study above and by introducing true stress-strain relationship of materials, analytical solutions of plastic instability pressure for thin-walled cylindrical and spherical vessels were derived.

Large Deformation Analysis of an Elastic-Plastic Cantilevered Beam

1989 ◽  
Vol 111 (3) ◽  
pp. 312-315 ◽  
Author(s):  
D. W. Nicholson
Keyword(s):  
Large Deformation ◽  
Numerical Procedure ◽  
Bending Moment ◽  
Elastic Response ◽  
Graphical Form ◽  
Deformation Analysis ◽  
Plastic Response ◽  
Large Deformation Analysis ◽  
Elastic Plastic ◽  
Cantilevered Beam

This study concerns the analysis of the deflection of an elastic-plastic cantilevered beam. Three regions of solution are treated: (i) purely elastic response at low loads; (ii) elastic-plastic response without a hinge, for intermediate loads; and (iii) elastic-plastic response with a hinge for loads corresponding to the fully plastic bending moment at the built-in end. Most existing solutions for this type of problem involve various approximations avoided here, for example, ignoring the elastic part of the strain or using upper bounds based on limit analysis. By avoiding such approximations, the solution given here may be useful as a benchmark for validating finite element codes in the large deformation elastic-plastic regime. Several aspects of the solution are analyzed: (i) the load-deflection relation; (ii) the growth of the elastic-plastic zone; (iii) limiting cases; (iv) the residual configuration; (v) the small bending configuration. A numerical procedure based on Runge-Kutta methods is used, leading to the load-deflection relation in graphical form.

Sign in / Sign up

Export Citation Format

Share Document