Nonclassical models of the theory of plates and shells
Publications dealing with the study of methods of reducing a three-dimensional problem of the elasticity theory to a two-dimensional problem of the theory of plates and shells are reviewed. Two approaches are considered: the use of kinematic and force hypotheses and expansion of solutions of the thr...
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| Veröffentlicht in: | Journal of applied mechanics and technical physics 2016-09, Vol.57 (5), p.769-776 |
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| container_title | Journal of applied mechanics and technical physics |
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| creator | Annin, B. D. Volchkov, Yu. M. |
| description | Publications dealing with the study of methods of reducing a three-dimensional problem of the elasticity theory to a two-dimensional problem of the theory of plates and shells are reviewed. Two approaches are considered: the use of kinematic and force hypotheses and expansion of solutions of the three-dimensional elasticity theory in terms of the complete system of functions. Papers where a three-dimensional problem is reduced to a two-dimensional problem with the use of several approximations of each sought function (stresses and displacements) by segments of Legendre polynomials are also reviewed. |
| doi_str_mv | 10.1134/S0021894416050011 |
| format | Article |
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| ispartof | Journal of applied mechanics and technical physics, 2016-09, Vol.57 (5), p.769-776 |
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| subjects | Applications of Mathematics Approximation Classical and Continuum Physics Classical Mechanics Elasticity Fluid- and Aerodynamics Functions (mathematics) Kinematics Mathematical analysis Mathematical Modeling and Industrial Mathematics Mathematical models Mechanical Engineering Physics Physics and Astronomy Plates Plates (structural members) Polynomials Segments Shells (structural forms) Three dimensional analysis Two dimensional analysis |
| title | Nonclassical models of the theory of plates and shells |
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