000			03564nam a22005055i 4500
003			DE-He213
005			20191011025649.0
007			cr nn 008mamaa
008			100301s2005 ne | s |||| 0|eng d
020	6	4	_a9781402042485 _9978-1-4020-4248-5
024	8	7	_a10.1007/1-4020-4248-5 _2doi
050	8	4	_aTA329-348
050	8	4	_aTA640-643
072	8	7	_aTBJ _2bicssc
072	8	7	_aMAT003000 _2bisacsh
082			_a519 _223
100	8	1	_aCiarlet, Philippe G. _eauthor. _938993
245			_aAn Introduction to Differential Geometry with Applications to Elasticity _h[electronic resource] / _cby Philippe G. Ciarlet.
001			000048909
300	6	4	_aVI, 210 p. _bonline resource.
505	8	0	_aThree-Dimensional Differential Geometry -- Differential Geometry of Surfaces -- Applications to Three-Dimensional Elasticity in Curvilinear Coordinates -- Applications to Shell Theory.
520	6	4	_acurvilinear coordinates. This treatment includes in particular a direct proof of the three-dimensional Korn inequality in curvilinear coordinates. The fourth and last chapter, which heavily relies on Chapter 2, begins by a detailed description of the nonlinear and linear equations proposed by W.T. Koiter for modeling thin elastic shells. These equations are ǣtwo-dimensionalǥ, in the sense that they are expressed in terms of two curvilinear coordinates used for de?ning the middle surface of the shell. The existence, uniqueness, and regularity of solutions to the linear Koiter equations is then established, thanks this time to a fundamental ǣKorn inequality on a surfaceǥ and to an ǣin?nit- imal rigid displacement lemma on a surfaceǥ. This chapter also includes a brief introduction to other two-dimensional shell equations. Interestingly, notions that pertain to di?erential geometry per se,suchas covariant derivatives of tensor ?elds, are also introduced in Chapters 3 and 4, where they appear most naturally in the derivation of the basic boundary value problems of three-dimensional elasticity and shell theory. Occasionally, portions of the material covered here are adapted from - cerpts from my book ǣMathematical Elasticity, Volume III: Theory of Shellsǥ, published in 2000by North-Holland, Amsterdam; in this respect, I am indebted to Arjen Sevenster for his kind permission to rely on such excerpts. Oth- wise, the bulk of this work was substantially supported by two grants from the Research Grants Council of Hong Kong Special Administrative Region, China [Project No. 9040869, CityU 100803 and Project No. 9040966, CityU 100604].
650	8	0	_aEngineering. _938994
650	8	0	_aDifferential equations, partial. _99614
650	8	0	_aGlobal differential geometry. _99530
650	8	0	_aMechanics. _938995
650	8	0	_aEngineering mathematics. _99629
650			_aEngineering. _938994
650			_aAppl.Mathematics/Computational Methods of Engineering. _99631
650			_aMechanics. _938995
650			_aPartial Differential Equations. _99616
650			_aDifferential Geometry. _99532
710	8	2	_aSpringerLink (Online service) _938996
773	8	0	_tSpringer eBooks
776			_iPrinted edition: _z9781402042478
856			_uhttp://dx.doi.org/10.1007/1-4020-4248-5 _zde clik aquí para ver el libro electrónico
264	8	1	_aDordrecht : _bSpringer Netherlands, _c2005.
336	6	4	_atext _btxt _2rdacontent
337	6	4	_acomputer _bc _2rdamedia
338	6	4	_aonline resource _bcr _2rdacarrier
347	6	4	_atext file _bPDF _2rda
516	6	4	_aZDB-2-ENG
999			_c48638 _d48638
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