The method of vector eigenfunctions in three-dimensional problems of elasticity theory

A. F. Ulitko

doi:10.1007/bf00886379

The method of vector eigenfunctions in three-dimensional problems of elasticity theory

Soviet Applied Mechanics ◽

10.1007/bf00886379 ◽

1967 ◽

Vol 3 (9) ◽

pp. 1-7 ◽

Cited By ~ 1

Author(s):

A. F. Ulitko

Keyword(s):

Elasticity Theory ◽

Three Dimensional

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One form of solution of three-dimensional axisymmetric problems of elasticity theory by means of functions of a complex variable and the solution of these problems for the sphere

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(62)90111-9 ◽

1962 ◽

Vol 26 (1) ◽

pp. 188-198 ◽

Cited By ~ 5

Author(s):

A.Ia. Aleksandrov ◽

Iu.I. Solov'ev

Keyword(s):

Elasticity Theory ◽

Complex Variable ◽

Three Dimensional ◽

Axisymmetric Problems

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On a class of non-classical three-dimensional problems of the elasticity theory for earthquake prediction

Mechanics - Proceedings of National Academy of Sciences of Armenia ◽

10.33018/71.3.2 ◽

2018 ◽

Vol 71 (3) ◽

pp. 8-20

Author(s):

L.A. Aghalovyan ◽

V.V. Tagvoryan

Keyword(s):

Elasticity Theory ◽

Earthquake Prediction ◽

Three Dimensional

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On solutions of dynamic three-dimensional problems of the elasticity theory for earthquake modeling

Mechanics - Proceedings of National Academy of Sciences of Armenia ◽

10.33018/71.4.2 ◽

2018 ◽

Vol 71 (4) ◽

pp. 17-29

Author(s):

Ленсер Абгарович Агаловян ◽

Мгер Ленсерович Агаловян ◽

Варужан Варданович Тагворян

Keyword(s):

Elasticity Theory ◽

Three Dimensional ◽

Earthquake Modeling

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Hamiltonian Structure and Conservation Laws of Three-Dimensional Linear Elasticity Theory

Nonlinear Physical Science - Symmetries and Applications of Differential Equations ◽

10.1007/978-981-16-4683-6_3 ◽

2021 ◽

pp. 99-123

Author(s):

D. O. Bykov ◽

V. N. Grebenev ◽

S. B. Medvedev

Keyword(s):

Conservation Laws ◽

Elasticity Theory ◽

Linear Elasticity ◽

Hamiltonian Structure ◽

Three Dimensional ◽

Linear Elasticity Theory

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Second Strain Gradient Finite Element Analysis of Vibratory Nanostructures Based on the Three-Dimensional Elasticity Theory

Iranian Journal of Science and Technology Transactions of Mechanical Engineering ◽

10.1007/s40997-019-00298-9 ◽

2019 ◽

Vol 44 (3) ◽

pp. 631-645 ◽

Cited By ~ 2

Author(s):

Jalal Torabi ◽

Reza Ansari ◽

Majid Bazdid-Vahdati ◽

Mansour Darvizeh

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Elasticity Theory ◽

Strain Gradient ◽

Three Dimensional ◽

Element Analysis ◽

Three Dimensional Elasticity

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On properties of solutions of three-dimensional problems of elasticity theory and hydrodynamics in domains with isolated singular points

Elliptic Boundary Value Problems - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/123/04 ◽

1984 ◽

pp. 109-123 ◽

Cited By ~ 4

Author(s):

V. G. Maz′ya ◽

B. A. Plamenevskiĭ

Keyword(s):

Elasticity Theory ◽

Three Dimensional ◽

Singular Points

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Reduction of three-dimensional dynamical elasticity theory problems with arbitrarily located plane slits to integral equations

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(85)90008-5 ◽

1985 ◽

Vol 49 (6) ◽

pp. 719-724

Author(s):

V.V. Mykhas'kiv ◽

M.V. Khai

Keyword(s):

Elasticity Theory ◽

Integral Equations ◽

Three Dimensional

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Construction of discontinuous solutions in three-dimensional elasticity theory

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(90)90113-o ◽

1990 ◽

Vol 54 (5) ◽

pp. 656-662

Author(s):

G.A. Morar ◽

G.Ya. Popov

Keyword(s):

Elasticity Theory ◽

Three Dimensional ◽

Discontinuous Solutions ◽

Three Dimensional Elasticity

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Approximate method of solving three-dimensional problems of elasticity theory

Soviet Applied Mechanics ◽

10.1007/bf00883188 ◽

1977 ◽

Vol 13 (10) ◽

pp. 1043-1049

Author(s):

Yu. N. Podil'chuk ◽

L. A. Neznakina

Keyword(s):

Approximate Method ◽

Elasticity Theory ◽

Three Dimensional

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Effects of Perforation on the Collapsing Strength of Casing

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.395-396.881 ◽

2013 ◽

Vol 395-396 ◽

pp. 881-886

Author(s):

Yu Guang Cao ◽

Shi Hua Zhang ◽

Xin Ren

Keyword(s):

Stress Concentration ◽

Flat Plate ◽

Elasticity Theory ◽

Stress Concentration Factor ◽

Mechanical Model ◽

Concentration Factor ◽

Three Dimensional ◽

Theoretical Equation ◽

Fem Model ◽

Strength Factor

In this study, three-dimensional mechanical model of the perforated casing was simplified as flat plate mechanical model. The theoretical equation for the calculation of collapsing strength factor for a perforated casing under squeeze was derived as per elasticity theory. Three-dimensional FEM model of a perforated casing was built using ANSYS and analysis was performed. The stress concentration factor (SCF) was discussed for perforated casing in this paper and the effects of aperture on SCFs were analyzed in detail.

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