The Discrete Model and the Analysis of a Spherical Shell by Finite Equilibrium Elements

Kalanta, Stanislovas; Atkočiūnas, Juozas; Ulitinas, Tomas

doi:10.5755/j01.mech.18.3.1886

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The Transformation Of Governing Equations For the Elastic Sp1

Structural Discretization Main Dependences1

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2013

2023

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Cited by 6 publications

(2 citation statements)

References 12 publications

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“…It is sufficient to investigate only one radius of such a shell, since internal forces and displacements are independent with respect to coordinate u when symmetric loading is applied. The second-order circular element [51] is used for discretization. The shell is modeled by circular finite elements …”

Section: The Transformation Of Governing Equations For the Elastic Spmentioning

confidence: 99%

An extended shakedown theory on an elastic–plastic spherical shell

Atkočiūnas

Ulitinas

Kalanta

et al. 2015

Engineering Structures

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Section: The Transformation Of Governing Equations For the Elastic Spmentioning

confidence: 99%

An extended shakedown theory on an elastic–plastic spherical shell

Atkočiūnas

Ulitinas

Kalanta

et al. 2015

Engineering Structures

Self Cite

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“…The geometry of the structure, the material and finite element type are known. The equilibrium finite element method is applied for the discretization of a structure (Kalanta et al 2012). The stress state of a discrete structure is expressed by the vector of forces 1 2 ... , l L ∈ ).…”

Section: Structural Discretization Main Dependencesmentioning

confidence: 99%

Structural Shakedown: A New Methodology for Estimating the Residual Displacements

Liepa

Blaževičius

Merkevičiūtė

et al. 2016

Journal of Civil Engineering and Management

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A vector of residual forces of the ideally elastic-plastic structure at shakedown is obtained by solving the static analysis problem. A unique distribution of the residual forces is determined if the analysis is based on the minimum complementary deformation energy principle. However, the residual displacements developing in the shakedown process of ideally elastic-plastic structures under variable repeated loads can vary non-monotonically. Nevertheless mathematical models for the optimization problems of steel structures at shakedown must include the conditions for strength (safety) and stiffness (serviceability). Residual displacements determined by the plastic deformations are included in the stiffness conditions; therefore to improve the optimal solution it is necessary to determine upper and lower bounds of the residual displacement variations. This paper describes an improved methodology for estimating the variation bounds of the residual displacements at shakedown.

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Direct Methods of Limit and Shakedown Analysis

Ponter

Weichert

2023

Comprehensive Structural Integrity

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The Discrete Model and the Analysis of a Spherical Shell by Finite Equilibrium Elements

Cited by 6 publications

References 12 publications

An extended shakedown theory on an elastic–plastic spherical shell

An extended shakedown theory on an elastic–plastic spherical shell

Structural Shakedown: A New Methodology for Estimating the Residual Displacements

Direct Methods of Limit and Shakedown Analysis

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