Limit analysis and design of containment vessels

Save, M.

doi:10.1016/0029-5493(84)90048-7

Cited by 9 publications

(3 citation statements)

References 44 publications

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“…Circular plates are often used as end closures of small pressure vessels. Limit analysis has been considered [47][48][49] for such plate-cylinder intersections, but the limit analysis is not useful unless the intersection is very thick. The effect of geometric changes is very significant for these intersections, so a large-deflection analysis is necessary for accurate predictions of load-deflection responses.…”

Section: Plate`cylinder Intersections Under Internal Pressurementioning

confidence: 99%

Intersections in steel shell structures

Teng

2000

Progress Structural Eng Maths

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Cylinders, cones, spheres and tori are some of the common basic shell elements. Steel shell structures such as silos, tanks, pressure vessels, offshore platforms, chimneys and tubular towers generally consist of two or more of these basic shell elements. Axisymmetric intersections featuring meridional slope mismatches between the connected elements are common features in steel shell structures. High bending and circumferential membrane stresses are developed in these intersections, and their buckling and collapse strengths are a key design consideration. This paper presents a summary of recent research on the stress, stability and strength of axisymmetric steel shell intersections. Particular attention is paid to intersections formed from cylindrical and conical segments as these are more common and have been more extensively researched. A simple approximate method for extrapolating the knowledge gained on these intersections to those containing curved shell segments is also suggested.Prog. Struct. Engng. Mater. 2000; 2: 459d471 General characteristics of intersection behaviourWhile intersections can have various forms, a number of common features of behaviour exist. These are discussed below.

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Section: Plate`cylinder Intersections Under Internal Pressurementioning

confidence: 99%

Intersections in steel shell structures

Teng

2000

Progress Structural Eng Maths

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“…The application of limit analysis and plasticity to structural safety concerns a wide range of engineering fields. Starting from the pioneer works of Prager, Drucker, and Greenberg's [1,2] and Massonnet and Save [3,4] that address the plastic response of structures introducing the collapse calculation for one-dimensional beams assembly as the main topic the matter has been formalized in the mathematical treatise of Hill [5], a two-fold approach is the way the limit analysis has been applied. The first, the kinematic method, consists of finding the collapse load as the load infimum among that in equilibrium with the stress linked to a compatible collapse mechanism.…”

Section: Introductionmentioning

confidence: 99%

Lower bound limit analysis through discontinuous finite elements and semi-analytical procedures

Zona

2023

Theoretical and Applied Mechanics - AIMETA 2022

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Abstract. This work deals with the limit analysis of structures through the lower-bound theorem, using dislocations based finite elements and eigenstress modelling. The lower bound approach is based on the knowledge of the self-equilibrated stresses that constitutes the basis of the domain where the optimal solution should be searched. A twofold strategy can be used to get self-equilibrated stresses, i.e., eigenstresses. The first one pursues the calculation of the self-equilibrated stress through the numerical approximation of the differential equilibrium equation in homogeneous form through an a posteriori discretization that used polynomial representation of finite degree. The second one consists of Finite Element implementation of the self-equilibrated stress calculation by discontinuous finite elements based on Volterra's dislocations theory. Both the formulations are written in terms of the strain and precisely in terms of the strain nodal displacement parameters. Consequently, it is possible to formulate an iterative procedure starting from the knowledge of the dislocation at the incoming collapse, in Melan’s residual sense, and calculate the structural ductility requirement. Several numerical examples are presented to confirm the method's feasibility.

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“…Recently, static analysis obtained renewed interest in the masonry structures framework due to the trust-line method and limit equilibrium application [1][2][3][4]. The limit analysis is used for the safety assessment of concrete domes and aches for large structures as shown in [5][6][7]. In particular, [8,9] investigates concrete vessels' composite structures considering collapse and buckling loads evaluation.…”

Section: Introductionmentioning

confidence: 99%

Semi-Analytical Lower-Bound Limit Analysis of Domes and Vaults

Zona¹,

Esposito²,

Palladino³

et al. 2022

Preprint

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The calculation of the collapse load of spherical domes is addressed using a semi-analytical approach under the hypotheses of small displacements and perfect plasticity. The procedure is based on the numerical approximation of the self-stress that represents the projection of the balance equilibrium null space on a finite dimensional manifold. The so obtained self-equilibrated stress span is superimposed to a finite element linear elastic solution to the prescribed loads yielding to the statically admissible set accordingly to Melan’s theorem. The compatibility of the stress with the constitutive law of the material has been enforced using linearized limit domain in terms of generalized stress, namely axial force and bending moment along the local spherical curvilinear coordinates. The procedure has been tested with reference to numerical and experimental data from the literature confirming the accuracy of the proposed method. The comparison with the literature confirms that the buckling load is much greater than the plastic collapse loads both calculated through the proposed procedure and reported in the quoted literature.

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Limit analysis and design of containment vessels

Cited by 9 publications

References 44 publications

Intersections in steel shell structures

Intersections in steel shell structures

Lower bound limit analysis through discontinuous finite elements and semi-analytical procedures

Semi-Analytical Lower-Bound Limit Analysis of Domes and Vaults

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