Elastic-plastic state of a variable thickness spherical shell with a reinforced central hole

Babyak, V. S.; Makarenkov, A. G.; Chernyshenko, I. S.

doi:10.1007/bf00901851

Soviet Applied Mechanics

1970

DOI: 10.1007/bf00901851

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Elastic-plastic state of a variable thickness spherical shell with a reinforced central hole

V. S. Babyak¹,

A. G. Makarenkov²,

I. S. Chernyshenko³

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1973

2009

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Cited by 4 publications

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“…Such problems are solved in [53,55,59] following a linear elastic problem formulation. The majority of publications that take into account nonlineas factor deal with axisymmetric problems [8,13,48,72]. Nonlinear two-dimensional problems for shells with reinforced holes were solved in a few papers [46,61,63,88].…”

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Nonlinear two-dimensional static problems for thin shells with reinforced curvilinear holes

2009

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Results on stress concentration in thin shells with curvilinear holes subject to plastic deformation and finite deflections are reviewed. The holes (circular, elliptical) are reinforced with thin-walled elements (rings, rods) of different stiffness. A numerical method of solving doubly nonlinear problems of statics for shells of complex geometry is outlined. The stress distribution near curvilinear holes in spherical, cylindrical, and conical shells under statical loading is studied. The numerical results are analyzed Introduction. Thin shells and plates are used as structural members in various fields of modern engineering. In most cases, they have complex geometry (geometry variations, holes, notches, and inclusions of various shapes) for the purposes of design or technology. High loads on structural members made of homogeneous isotropic materials (metals, alloys) may cause structural changes (plastic or creep strains) near stress concentrators and microcracks, which may lead to failure of structural members and then the whole structure. There are also large or finite displacements or strains in the zone of high stresses. One of the basic and most important tasks in the mechanics of shell structures is to analyze the distribution of stresses and strains in structural members of complex form. Therefore, in designing and manufacturing load-bearing structures or their elements with high strength and minimum weight, the need arises to take into account the real operation conditions of structural members and the real properties of structural materials (plastic strains) and their deformation (large or finite displacements).Results of theoretical and experimental analysis of the stress distribution in shells (plates) obtained by solving linear elastic boundary-value problems (linear Hooke's law, small displacements, strains) are discussed in a great many publications most fully generalized in the monographs [2,21,22,25,26,58,65]. They mainly discuss solutions of linear (elastic) problems for thin (spherical, cylindrical, conical, etc.) shells weakened by curvilinear holes of various shapes and made of advances metallic materials.The available theoretical and applied results on the stress distribution in thin and nonthin anisotropic (composite) shells made of materials obtained by solving linear elastic problems (generalized Hooke's law; Kirchhoff-Love or Timoshenko hypotheses) are presented in [27,50].To solve this class of problems in linear elastic formulation, analytic, variational, and numerical methods are used. Methods and results of solving specific classes of physically and geometrically nonlinear problems for some metal shells are discussed in the monographs [20,32,38,42,67,70]. The issue of stress concentration in shells (plates) involving the development of methods of solving nonlinear problems is analyzed in the reviews [24,89,93,94].Note that most studies on nonlinear stress concentration in shells, including problem formulation, development of methods for solving certain classes of nonlinear problems, a...

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Nonlinear two-dimensional static problems for thin shells with reinforced curvilinear holes

2009

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Elastic-plastic state of shells in the connector frame zone

Babyak¹

1973

Soviet Applied Mechanics

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Stress distribution around a reinforced hole in a spherical shell

Makarenkov¹,

Firsov²

1975

Soviet Applied Mechanics

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Elastic-plastic state of a variable thickness spherical shell with a reinforced central hole

Cited by 4 publications

References 1 publication

Nonlinear two-dimensional static problems for thin shells with reinforced curvilinear holes

Nonlinear two-dimensional static problems for thin shells with reinforced curvilinear holes

Elastic-plastic state of shells in the connector frame zone

Stress distribution around a reinforced hole in a spherical shell

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