Limit analysis of plates with piecewise linear yield surface

Meccanica ◽  
1972 ◽  
Vol 7 (2) ◽  
pp. 105-110 ◽  
Author(s):  
Ferdinando Laudiero
Keyword(s):  
Yield Surface ◽  
Limit Analysis ◽  
Piecewise Linear

Limit analysis using the ellipsoid yield surface

1994 ◽  
Vol 445 (1925) ◽  
pp. 519-527
Keyword(s):  
Mathematical Programming ◽  
Yield Surface ◽  
Limit Analysis ◽  
Iteration Process ◽  
Mathematical Programming Problem ◽  
Plastic Limit ◽  
Polyester Composite ◽  
Plastic Limit Analysis ◽  
Element Technique ◽  
Kinematic Theorem

The ellipsoid yield surface can be applied to many engineering materials, such as metal, concrete, polyester, composite, etc. It is essential to establish an efficient method to carry out the plastic limit analysis of such media. Based on the classical kinematic theorem of plasticity theory and the finite element technique, a discrete mathematical programming formula is presented to determine the collapse load for materials with ellipsoid yield surface. The mathematical programming problem is solved by an efficient algorithm including an iteration process. The convergency of the algorithm is guaranteed. Numerical examples are presented and the results are reasonable and satisfactory.

scholarly journals Surface construction for orthrotropic perfectly elastic-plastic Murnaghan material

2021 ◽  
Vol 66 (3) ◽  
pp. 298-306
Author(s):  
O. L. Shved
Keyword(s):  
Singular Point ◽  
Yield Surface ◽  
Biaxial Tension ◽  
Piecewise Linear ◽  
Repeated Loading ◽  
Elastic Plastic ◽  
Work Area ◽  
Plastic Process ◽  
Basic Generator

The problem of constructing a yield surface is described. The magnitude of the stress velocity potential is explained graphically. The parameters of an elastic-plastic process are introduced: a modified R. Schmidt parameter and an analogue of the Lode parameter, the sign of which changes only when the singular point of the plasticity curve passes. The formal work area of the Murnaghan law is calculated, the real area will be much smaller. An effect similar to the Bauschinger effect for the deviator of the stress tensor is assumed to be fair. In the basic experiments of uniaxial and biaxial tension, compression and shear, a piecewise-linear generator with vertices at the corresponding singular points of the plasticity curves is determined. The magnitude of the effect is approximated by a quadratic dependence in the place parameter and piecewise-linear one in the hardening parameter. According to the magnitude of the effect, at the point of the active process there is a singular point of the curve, into which the basic generator moves. The yield surface is constructed by ductility curves drawn through the generator. Determination of the magnitude of the effect under repeated loading after unloading is considered.

Limit analysis of continuous media with piecewise linear yeld condition

Meccanica ◽  
1971 ◽  
Vol 6 (1) ◽  
pp. 53-58 ◽  
Author(s):  
Michele Capurso
Keyword(s):  
Limit Analysis ◽  
Piecewise Linear ◽  
Continuous Media

Limit Analysis of Symmetrically Loaded Thin Shells of Revolution

1959 ◽  
Vol 26 (1) ◽  
pp. 61-68
Author(s):  
D. C. Drucker ◽  
R. T. Shield
Keyword(s):  
Cylindrical Shell ◽  
Lower Bounds ◽  
Yield Surface ◽  
Limit Analysis ◽  
Thin Shell ◽  
Upper And Lower Bounds ◽  
Thin Shells ◽  
Hexagonal Prism ◽  
Shells Of Revolution ◽  
Thin Cylindrical Shell

Abstract The yield surface for a thin cylindrical shell is shown to be a very good approximation to the yield surface for any symmetrically loaded thin shell of revolution. Hexagonal prism approximations to this yield surface, appropriate for pressure vessel analysis, are described and discussed in terms of limit analysis. Procedures suitable for finding upper and lower bounds on the limit pressure for the complete vessel are developed and evaluated. They are applied for illustration to a portion of a toroidal zone or knuckle held rigidly at the two bounding planes. The combined end force and moment which can be carried by an unflanged cylinder also is discussed.

A constitutive model for polymers with a piecewise linear yield surface

PAMM ◽  
2006 ◽  
Vol 6 (1) ◽  
pp. 275-276 ◽  
Author(s):  
M. Vogler ◽  
S. Kolling ◽  
A. Haufe
Keyword(s):  
Constitutive Model ◽  
Yield Surface ◽  
Piecewise Linear
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