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008			150325s2015 gw | s |||| 0|eng d
020			_a9783662464601
024	7		_a10.1007/978-3-662-46460-1 _2doi
040			_bspa _dES-MaUEC
050		4	_aQA808.2 _bS745 2015 EB
100	1		_aSteinmann, Paul. _eautor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _0http://id.loc.gov/authorities/names/n93042000 _1http://viaf.org/viaf/89425654/
245	1	0	_aGeometrical Foundations of Continuum Mechanics _bAn Application to First- and Second-Order Elasticity and Elasto-Plasticity _cby Paul Steinmann.
264		1	_aBerlin, Heidelberg _bSpringer International Publishing _c2015
300			_a1 recurso en línea (XXIV, 517 páginas 59 ilustraciones)
336			_2rdacontent _aTexto (visual) _btxt
337			_2rdamedia _aelectrónico _bc
338			_2rdacarrier _arecurso electrónico _bcr
490	0		_aLecture Notes in Applied Mathematics and Mechanics, _x2197-6724 ; _v2
490	0		_aEngineering (Springer-11647)
505	0		_aPart I Prologue -- Part II Differential Geometry -- Part III Nonlinear Continuum Mechanics -- Part IV Epilogue.
520	3		_aThis book illustrates the deep roots of the geometrically nonlinear kinematics of generalized continuum mechanics in differential geometry. Besides applications to first- order elasticity and elasto-plasticity an appreciation thereof is particularly illuminating for generalized models of continuum mechanics such as second-order (gradient-type) elasticity and elasto-plasticity.   After a motivation that arises from considering geometrically linear first- and second- order crystal plasticity in Part I several concepts from differential geometry, relevant for what follows, such as connection, parallel transport, torsion, curvature, and metric for holonomic and anholonomic coordinate transformations are reiterated in Part II. Then, in Part III, the kinematics of geometrically nonlinear continuum mechanics are considered. There various concepts of differential geometry, in particular aspects related to compatibility, are generically applied to the kinematics of first- and second- order geometrically nonlinear continuum mechanics. Together with the discussion on the integrability conditions for the distortions and double-distortions, the concepts of dislocation, disclination and point-defect density tensors are introduced. For concreteness, after touching on nonlinear fir st- and second-order elasticity, a detailed discussion of the kinematics of (multiplicative) first- and second-order elasto-plasticity is given. The discussion naturally culminates in a comprehensive set of different types of dislocation, disclination and point-defect density tensors. It is argued, that these can potentially be used to model densities of geometrically necessary defects and the accompanying hardening in crystalline materials. Eventually Part IV summarizes the above findings on integrability whereby distinction is made between the straightforward conditions for the distortion and the double-distortion being integrable and the more involved conditions for the strain (metric) and the double-strain (connection) being integrable.   The book addresses readers with an interest in continuum modelling of solids from engineering and the sciences alike, whereby a sound knowledge of tensor calculus and continuum mechanics is required as a prerequisite.    .
988			_aEBSPRINGER_2018
650		7	_aMecánica de medios continuos _2embne _9142188
776	0	8	_iEdición impresa: _z9783662464618
776	0	8	_iEdición impresa: _z9783662464595
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-662-46460-1 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_b03/2019 _dz _eIG _zSI