000 04156nam a22005175i 4500
001 978-3-030-04354-4
003 DE-He213
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008 181208s2019 sz | s |||| 0|eng d
020 _a9783030043544
_9978-3-030-04354-4
024 7 _a10.1007/978-3-030-04354-4
_2doi
050 4 _aTA349-359
072 7 _aTGMD
_2bicssc
072 7 _aSCI096000
_2bisacsh
072 7 _aTGMD
_2thema
082 0 4 _a620.105
_223
100 1 _aAßmus, Marcus.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_938203
245 1 0 _aStructural Mechanics of Anti-Sandwiches
_h[electronic resource] :
_bAn Introduction /
_cby Marcus Aßmus.
250 _a1st ed. 2019.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2019.
300 _aIX, 127 p. 30 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Continuum Mechanics,
_x2625-1337
505 0 _aIntroduction -- Theory of Planar Surface Continua -- Multilayered Surface Continua -- Variational Formulation -- Finite Element Implementation -- Convergence and Verifictaion -- Application -- Summary and Outlook.
520 _aThis book provides an extensive introduction to the mechanics of anti-sandwiches: non-classical composites with multiple homogeneous layers but widely differing parameters concerning their geometry and materials. Therefore, they require special attention in the context of structural mechanics. The theoretical framework presented here is based on a five parametric, planar continuum, which is a pragmatic version of the COSSERAT shell. The direct approach used here is enlarged where constraints are introduced to couple layers and furnish a layer-wise theory. Restrictions are made in terms of linearity – geometrical and physical. After having defined appropriate variables for the kinematics and kinetics, linear elastic material behaviour is considered, where the constitutive tensors are introduced in the context of isotropy. The basics are presented in a clear and distinct manner using index-free tensor notation. This format is simple, concise, and practical. Closed-form solutions of such boundary value problems are usually associated with serious limitations on the boundary conditions, which constitutes a serious disadvantage. To construct approximate solutions, a variational method is employed as the basis for computational procedures where the Finite Element Method is applied. Therefore, the introduction of the vector-matrix notation is convenient. Based on the plane considerations, a finite eight-node SERENDIPITY element with enlarged degrees of freedom is realised. To avoid artificial stiffening effects, various integration types are applied, and the solutions generated are subsequently verified with closed-form solutions for monolithic limiting cases. Within this setting, it is possible to efficiently calculate the global structural behaviour of Anti-Sandwiches, at least up to a certain degree. The power of the proposed method in combination with the numerical solution approach is demonstrated for several case and parameter studies. In this regard, the optimal geometrical and material parameters to increase stiffness are analysed and the results for the kinematic and kinetic quantities are discussed. .
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 0 _aMechanics.
_98758
650 1 4 _aSolid Mechanics.
_931612
650 2 4 _aClassical Mechanics.
_931661
710 2 _aSpringerLink (Online service)
_938204
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030043537
776 0 8 _iPrinted edition:
_z9783030043551
830 0 _aSpringerBriefs in Continuum Mechanics,
_x2625-1337
_938205
856 4 0 _uhttps://doi.org/10.1007/978-3-030-04354-4
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c76316
_d76316