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001 978-3-030-71326-3
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020 _a9783030713263
_9978-3-030-71326-3
024 7 _a10.1007/978-3-030-71326-3
_2doi
050 4 _aTA349-359
072 7 _aTGB
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTGB
_2thema
082 0 4 _a620.1
_223
100 1 _aAmbartsumian (posthumous), Sergey A.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_932599
245 1 0 _aMicropolar Theory of Shells and Plates
_h[electronic resource] /
_cby Sergey A. Ambartsumian (posthumous).
250 _a1st ed. 2021.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2021.
300 _aXVI, 172 p. 20 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFoundations of Engineering Mechanics,
_x1860-6237
505 0 _aMain Equations and Relations of the Theory of Non-Symmetric Elasticity -- Bending of Plates -- Somme Trivial Problems of Plates -- Membrein Theory of Shells -- Theory of Very Shallow Shells -- Some Other Aspects of the Theory of Plates and Shells. .
520 _aFor the first time, the Micropolar Theory of Elasticity is applied to solving a wide variety of problems connected to the specifics of nanomaterials. Namely, their unique physical-mechanical characteristics and behaviors under various stress-induced conditions. These theories have been constructed based on the equations of the classical theory of elasticity as well as other equations that have till now remained untouched in their application to molecular theories of solid deformable media. The book also introduces a new applied micropolar theory of thin shells which is based on Cosserat's pseudo-continuum. It explores the theory’s application to a category of nanomaterial shells and plates previously neglected from classical theories due to their unconventional size and structure. Theoretical results are accompanied by solutions of certain problems, essential for various applications. The book consists of six chapters. The first chapter is a review of the essential data on the non-symmetric theory of elasticity. The second and third chapters are devoted to various theories of plate bending and solutions to some basic problems. Chapter four refers to membrane or, so-called, momentary shell theory. Chapter five deals with the theory of very shallow shells. Finally, chapter six presents the geometry of the nonlinear theory of plates and the theory of very shallow shells. The book is intended for researchers, postgraduate students, and engineers, interested in the design of structures from nanomaterials and in the problems of mechanics of deformable bodies, theories of shells and plates, and their applications in micromechanics.
650 0 _aMechanics, Applied.
_93253
650 1 4 _aEngineering Mechanics.
_931830
710 2 _aSpringerLink (Online service)
_932600
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030713256
776 0 8 _iPrinted edition:
_z9783030713270
776 0 8 _iPrinted edition:
_z9783030713287
830 0 _aFoundations of Engineering Mechanics,
_x1860-6237
_932601
856 4 0 _uhttps://doi.org/10.1007/978-3-030-71326-3
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c75276
_d75276