Limit Analysis of Reinforced Concrete Cross-Sections Under Cyclic Loadings

Alyavdin, Peter; Simbirkin, Valery

doi:10.1080/13921525.1999.10531485

Cited by 1 publication

(3 citation statements)

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“…To check the plasticity of the concrete in compression and the strength of the concrete in tension, a general Balandin-Geniev criterion (Alyavdin, Simbirkin 1999;Алявдин 2005) in terms of principal stresses for the three-dimensional stress state is adopted. It can be written as follows:…”

Section: Fig 1 Rc Rod Cross-sectionmentioning

confidence: 99%

“…In that case, the strength analysis is guaranteed and does not depend on the possible sequence of forces that are not very perilous. Strength conditions in generalized forces for the cross-sections under different load cycles were stated in investigations of Guralnick and Yala (1998), Alyavdin and Simbirkin (1999), Rizzo et al (2000), Аliawdin (Алявдин 2005); for the similar structures see the approach of Gawęcki and Kruger (1995). This paper presents the strength conditions for the cross-section of the RC elements obtained on the basis of the shakedown theory.…”

Section: Introductionmentioning

confidence: 99%

“…The mathematical model suggested here is a modified variant of the existing one (Alyavdin, Simbirkin 1999). …”

Section: Introductionmentioning

confidence: 99%

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Limit and Shakedown Analysis of Rc Rod Cross-Sections

Aliawdin

Kasabutski

2009

Journal of Civil Engineering and Management

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Abstract. This paper presents the calculation of the cross-section of an RC rod element strength under the quasistatic lowcyclic loadings, considering the non-linear stress-strain relations of materials without cracks. Some mathematical models of the limit and shakedown analysis proposed by the authors involve the technique of calculating the cross-section under one-path loadings, considering the non-uniqueness of problem solutions. The plasticity conditions for the materials of the cross-section are formulated either in stress or in strain space. Simple solutions of two types, direct and inverse, corresponding to the limit states for alternating plasticity or progressive failure, are considered for the non-linear optimization problems obtained.

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Section: Fig 1 Rc Rod Cross-sectionmentioning

confidence: 99%