A method of estimating limit loads by iterative elastic analysis. I—Simple examples

Mackenzie, Donald; Boyle, J.T.

doi:10.1016/0308-0161(93)90105-3

Cited by 105 publications

(35 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the indirect incremental analysis methods, the task is extremely cumbersome due to a need of the knowledge of material models and a full loading process. The iterative elastic methods such as the reduced modulus method [1], the GLOSS R-node method [2] and the elastic compensation method [3][4][5] are simplified schemes by using bounding theorems and have been widely used in practical engineering. However, for complex structures the elastic compensation method did not converge to the solution of the problem [6,7].…”

Section: Introductionmentioning

confidence: 99%

A dual algorithm for shakedown analysis of plate bending

Tran

2011

Numerical Meth Engineering

View full text Add to dashboard Cite

SUMMARYIn this paper, the duality between the lower and the upper bound shakedown analyses of plate bending is presented. Based on the duality theory, the shakedown load multiplier formulated by static theorem is proved actually to be the dual form of the shakedown load multiplier formulated by kinematic theorem. A dual algorithm based upon the von Mises yield criterion and a non-linear optimization procedure is then developed to compute simultaneously both the upper and lower bounds of the plastic collapse limit and the shakedown limit. The DKQ plate bending element is used to discrete the problem field. Numerical examples are presented to show the excellent convergence and accuracy of solutions obtained by the present method.

show abstract

Section: Introductionmentioning

confidence: 99%

A dual algorithm for shakedown analysis of plate bending

Tran

2011

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…as it has to be and as deducible by Equations (25a)-(25c) and (26). The iterative procedure is monitored by means of the computed P…”

Section: (0)mentioning

confidence: 99%

A numerical approach for limit analysis of orthotropic composite laminates

Pisano

Fuschi

2006

Numerical Meth Engineering

View full text Add to dashboard Cite

SUMMARYA numerical approach for limit analysis of structures whose constituent material exhibits orthotropic behaviour is presented and discussed. Attention is focused on orthotropic composite laminates under plane stress conditions. The proposed approach is an extension, in the context of orthotropic materials, of the linear matching method (LMM). The latter is based on a sequence of linear analyses performed on the analysed structure made of a fictitious linear viscous material with spatially varying moduli. Here the LMM is applied to structures made of materials obeying the Tsai-Wu criterion. An appropriate choice of the fictitious material, which in this case is assumed linear, viscous, orthotropic and suffering a distribution of assigned initial stresses, reduces the number of parameters to be spatially varied thus rendering the whole procedure applicable and reliable. The results obtained are highly promising as witnessed by a number of numerical examples which are carried out to verify the effectiveness of the proposed approach.

show abstract

“…The DBA Manual [4] uses two methods for shakedown analysis that do not employ standard optimization procedures: elastic compensation ( [13,14]) and deviatoric map [15]. We have implemented LISA into the general purpose FEM program PERMAS [16] employing sequential quadratic programming together with an iteration in a subspace of the space of residual stresses.…”

Section: Direct Dba By Lisamentioning

confidence: 99%

Direct finite element route for design-by-analysis of pressure components

Staat

Heitzer

Lang

et al. 2005

International Journal of Pressure Vessels and Piping

View full text Add to dashboard Cite

In the new European standard for unfired pressure vessels, EN 13445-3, there are two approaches for carrying out a Design-by-Analysis that cover both the stress categorization method (Annex C) and the direct route method (Annex B) for a check against global plastic deformation and against progressive plastic deformation. This paper presents the direct route in the language of limit and shakedown analysis. This approach leads to an optimization problem. Its solution with Finite Element Analysis is demonstrated for mechanical and thermal actions. One observation from the examples is that the so-called 3f (3Sm) criterion fails to be a reliable check against progressive plastic deformation. Precise conditions are given, which greatly restrict the applicability of the 3f criterion.

show abstract

A method of estimating limit loads by iterative elastic analysis. I—Simple examples

Cited by 105 publications

References 11 publications

A dual algorithm for shakedown analysis of plate bending

A dual algorithm for shakedown analysis of plate bending

A numerical approach for limit analysis of orthotropic composite laminates

Direct finite element route for design-by-analysis of pressure components

Contact Info

Product

Resources

About