Asymptotic theory of Anisotropic plates and shells

A consistent theory for thin anisotropic layered structures is developed starting from asymptotic analysis of 3D equations in linear elasticity. The consideration is not restricted to the traditional boundary conditions along the faces of the structure expressed in terms of stresses, originating a n...

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Bibliographic Details
Main Author: Agalovi︠a︡n, L. A. (Author)
Other Authors: Prikazchikov, D. (Translator)
Format: Book
Language:English
Published: Hackensack, New Jersey Singapore World Scientific [2015]
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040 |a UPNM  |b eng  |c UPNM  |e rda 
090 |a QA 935  |b .A29513 2015 
100 1 |a Agalovi︠a︡n, L. A.  |e author 
240 1 0 |a Asimptoticheskai︠a︡ teorii︠a︡ anizotropnykh plastin i obolochek.  |l English 
245 1 0 |a Asymptotic theory of Anisotropic plates and shells  |c Lenser Aghalovyan, National Academy of Sciences, Armenia ; translated by D. Prikazchikov 
264 1 |a Hackensack, New Jersey  |a Singapore  |b World Scientific  |c [2015] 
264 4 |c ©2015 
300 |a xv, 360 pages  |b illustrations  |c 26 cm 
336 |a text  |2 rdacontent 
337 |a unmediated  |2 rdamedia 
338 |a volume  |2 rdacarrier 
500 |a Translation of: Asimptoticheskai︠a︡ teorii︠a︡ anizotropnykh plastin i obolochek 
504 |a Includes bibliographical references and index 
505 0 |a Plane problem for a rectangular elastic strip. technical theory for Bernoulli-Coulomb-Euler beams -- Mixed boundary value problems for single and two-layer rectangular beam. the Winkler-Fuss model -- Direct asymptotic integration of 3D elasticity equations for orthotropic plates -- Matching of the outer solution and the boundary layer for an Orthotropic plate -- Elastic plates of general Anisotropy -- Non-classical boundary value problems for Anisotropic plates -- Two-layer Anisotropic plates. the modulus of a layered foundation -- Asymptotic analysis of the outer problem for an orthotropic shell -- Boundary layer in Orthotropic shells -- Non-classical boundary value problems for Anisotropic shells -- Spatial dynamic problems for Anisotropic plates. 
520 |a A consistent theory for thin anisotropic layered structures is developed starting from asymptotic analysis of 3D equations in linear elasticity. The consideration is not restricted to the traditional boundary conditions along the faces of the structure expressed in terms of stresses, originating a new type of boundary value problems, which is not governed by the classical Kirchhoff-Love assumptions. More general boundary value problems, in particular related to elastic foundations are also studied. The general asymptotic approach is illustrated by a number of particular problems for elastic and thermoelastic beams and plates. For the latter, the validity of derived approximate theories is investigated by comparison with associated exact solution. The author also develops an asymptotic approach to dynamic analysis of layered media composed of thin layers motivated by modeling of engineering structures under seismic excitation. 
592 |a JI4860  |b 5/1/16  |c RM587.50  |h Jendela Informasi 
650 0 |a Elastic plates and shells 
650 0 |a Anisotropy 
650 0 |a Asymptotic expansions 
650 0 |a Plates (Engineering)  |x Mathematical models 
650 0 |a Shells (Engineering)  |x Mathematical models 
700 1 |a Prikazchikov, D.  |e translator. 
999 |a vtls000055769  |c 98122  |d 98122