Application of the shakedown analysis in the elastic: plastic assessment of cracked plates

Based on static Melan shakedown theorem, an elastic-plastic finite element method is presented to analyze the shakedown of saturated undrained foundation due to varied combined loadings, and the shakedown loadings under different patterns of loading combination are compared. At the same time, a comparison is given between the shakedown failure envelop under varied combined loading and the failure envelop of ultimate bearing capacity under static equilibrium, and it is found that the shakedown loading under varied combined loading is less than the ultimate bearing capacity under combined loading.

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Constraint Solutions for Cracked Plates and Cylinders

Volume 6A: Materials and Fabrication ◽

10.1115/pvp2016-63152 ◽

2016 ◽

Author(s):

Caroline Meek ◽

Marius Gintalas ◽

Andrew H. Sherry ◽

Robert A. Ainsworth

Keyword(s):

Finite Element ◽

Stress Field ◽

Biaxial Loading ◽

Analytical Determination ◽

Plastic Collapse ◽

Finite Element Analyses ◽

Elastic Plastic ◽

Cracked Plates ◽

Computing Effort

There is little advice in fitness for service procedures for assessing constraint parameters T (elastic) and Q (elastic plastic) for biaxially loaded plates and cylinders. This paper presents the analytical determination of T stresses for biaxially loaded plates and the determination of Q for plates and cylinders using finite element analyses. It demonstrates the extent to which T can be used to conservatively predict Q and how, near collapse, Q can be estimated from the stress field corresponding to plastic collapse, enabling a significant reduction in computing effort. The effect of biaxial loading of plates and cylinders on these parameters is discussed as well as the differences found when comparing the values for plates and cylinders.

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Finite Elastic-Plastic Deformations and Shakedown Analysis of Bellows

Finite Inelastic Deformations — Theory and Applications ◽

10.1007/978-3-642-84833-9_48 ◽

1992 ◽

pp. 537-546

Author(s):

J. Skrzypek ◽

B. Skoczeń

Keyword(s):

Shakedown Analysis ◽

Plastic Deformations ◽

Elastic Plastic

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Elastic-plastic analysis of biaxially loaded center-cracked plates

International Journal of Solids and Structures ◽

10.1016/s0020-7683(98)00257-1 ◽

1999 ◽

Vol 36 (36) ◽

pp. 5639-5661 ◽

Cited By ~ 25

Author(s):

N.P O'Dowd ◽

O Kolednik ◽

V.P Naumenko

Keyword(s):

Elastic Plastic ◽

Cracked Plates ◽

Plastic Analysis

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Shakedown analysis of elastic-plastic structures

Nuclear Engineering and Design ◽

10.1016/0029-5493(74)90091-0 ◽

1974 ◽

Vol 28 (1) ◽

pp. 121-136 ◽

Cited By ~ 22

Author(s):

A. Sawczuk

Keyword(s):

Shakedown Analysis ◽

Elastic Plastic

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Lower Bound Methods in Elastic-Plastic Shakedown Analysis

ASME 2010 Pressure Vessels and Piping Conference: Volume 1 ◽

10.1115/pvp2010-26088 ◽

2010 ◽

Author(s):

Wolf Reinhardt ◽

Reza Adibi-Asl

Keyword(s):

Lower Bound ◽

Plastic Material ◽

Shakedown Analysis ◽

Elastic Plastic ◽

Perfectly Plastic ◽

Efficient Calculation ◽

Asme Code ◽

Elastic Shakedown ◽

Plastic Shakedown

Several methods were proposed in recent years that allow the efficient calculation of elastic and elastic-plastic shakedown limits. This paper establishes a uniform framework for such methods that are based on perfectly-plastic material behavour, and demonstrates the connection to Melan’s theorem of elastic shakedown. The paper discusses implications for simplified methods of establishing shakedown, such as those used in the ASME Code. The framework allows a clearer assessment of the limitations of such simplified approaches. Application examples are given.

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