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Banicuk, N. V.

Optimality conditions in the problem of seeking the hole shapes in elastic bodies. (English. Russian original) Zbl 0401.73030

J. Appl. Math. Mech. 41, 946-951 (1979); translation from Prikl. Mat. Mekh. 41, 920-925 (1977).
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Cited in 1 Review
Cited in 9 Documents

MSC:

74G70 Stress concentrations, singularities in solid mechanics
74K20 Plates
74C99 Plastic materials, materials of stress-rate and internal-variable type

Keywords:

Optimal Hole Shapes; Elastic Bodies; Minimal Stress Concentration

Citations:

Zbl 0336.49009; Zbl 0319.73028; Zbl 0331.73055; Zbl 0315.73106; Zbl 0241.73012
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\textit{N. V. Banicuk}, J. Appl. Math. Mech. 41, 946--951 (1979; Zbl 0401.73030); translation from Prikl. Mat. Mekh. 41, 920--925 (1977)
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References:

[1] Banichuk, N.V., On a variational problem with unknown boundaries and determination of the optimal shapes of elastic bodies, Pmm, Vol. 39, No. 6, (1975) · Zbl 0336.49009
[2] Kurshin, L.M., On the problem of determining the shape of a rod section of maximum torsional stiffness, Dokl. akad. nauk, SSSR, Vol. 223, No. 3, (1975)
[3] Banichuk, N.V.; Karihaloo, B.L., Minimum-weight design of multi-purpose cylindrical bars, (), No. 4 · Zbl 0319.73028
[4] Banichuk, N.V., On a two-dimensional optimization problem in the theory of torsion of elastic rods, () · Zbl 0319.73029
[5] Cherepanov, G.P., Some problems of the theory of elasticity and plasticity with unknown boundaries, () · Zbl 0137.19702
[6] Cherepanov, G.P., Inverse problems of a plane theory of elasticity, Pmm, Vol. 38, No. 6, (1974) · Zbl 0315.73106
[7] Ivanov, G.M.; Kosmodamianskii, O.S., Inverse doubly-periodic problem of plane elasticity theory, Dopov. akad. nauk. USSR, No. 9, (1972)
[8] Kosmodamianskii, A.S., Stress distribution in isotropic multiply-connected media, (1972), Donetsk Univ. Press
[9] Vladimirov, V.S., Equations of mathematical physics, (1976), Nauka Moscow · Zbl 0353.32004
[10] Muskhelishvili, N.I., Some fundamental problems of the mathematical theory of elasticity, (1966), Nauka Moscow · Zbl 0151.36201
[11] Hutchinson, J.W.; Niordson, F.I., Designing vibrating membranes, () · Zbl 0255.73074
[12] Neuber, H., Der zugbeanspruchte flachstab mit optimalem querschnittsübergang, Forsch. geb. ingenieurwesens, Vol. 35, (1969)
[13] Neuber, H., Zur optimierung der spannungskonzentration, () · Zbl 0271.73020
[14] Tvergaard, V.; Tvergaard, V., On the optimum shape of a fillet in a flat bar with restrictions, () · Zbl 0336.73020
[15] Aleksandrov, A.Ia., Some solutions of problems about the equivalent and equistrength reinforcements of holes in plates, ()
[16] Wheeler, L., On the role of constant -stress surfaces in the problem of minimizing elastic stress concentration, (), No.11 · Zbl 0367.73025
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