000 | 03744nam a22005415i 4500 | ||
---|---|---|---|
001 | 978-3-540-72373-8 | ||
003 | DE-He213 | ||
005 | 20161121231203.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2007 gw | s |||| 0|eng d | ||
020 |
_a9783540723738 _9978-3-540-72373-8 |
||
024 | 7 |
_a10.1007/978-3-540-72373-8 _2doi |
|
050 | 4 | _aTA405-409.3 | |
050 | 4 | _aQA808.2 | |
072 | 7 |
_aTG _2bicssc |
|
072 | 7 |
_aTEC009070 _2bisacsh |
|
072 | 7 |
_aTEC021000 _2bisacsh |
|
082 | 0 | 4 |
_a620.1 _223 |
100 | 1 |
_aEpstein, Marcelo. _eauthor. |
|
245 | 1 | 0 |
_aMaterial Inhomogeneities and their Evolution _h[electronic resource] : _bA Geometric Approach / _cby Marcelo Epstein, Marek Elżanowski. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2007. |
|
300 |
_aXIII, 261 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aInteraction Mechanics, Mathematics, _x1860-6245 |
|
505 | 0 | _aInhomogeneity in Continuum Mechanics -- An overview of inhomogeneity theory -- Uniformity of second-grade materials -- Uniformity of Cosserat media -- Functionally graded bodies -- Material Evolution -- On energy, Cauchy stress and Eshelby stress -- An overview of the theory of material evolution -- Second-grade evolution -- Mathematical Foundations -- Basic geometric concepts -- Theory of connections -- Bundles of linear frames -- Connections of higher order. | |
520 | _aInhomogeneity theory is of importance for the description of a variety of material phenomena, including continuous distributions of dislocations, fracture mechanics, plasticity, biological remodelling and growth and, more generally, all processes that entail changes in the material body driven by forces known in literature as material or configurational. This monograph presents a unified treatment of the theory using some of the tools of modern differential geometry. The first part of the book deals with the geometrical description of uniform bodies and their homogeneity (i.e., integrability) conditions. In the second part, a theory of material evolution is developed and its relevance in various applied contexts discussed. The necessary geometrical notions are introduced as needed in the first two parts but often without due attention to an uncompromising mathematical rigour. This task is left for the third part of the book, which is a highly technical compendium of those concepts of modern differential geometry that are invoked in the first two parts (differentiable manifolds, Lie groups, jets, principal fibre bundles, G-structures, connections, frame bundles, integrable prolongations, groupoids, etc.). To make the text as useful as possible to active researchers and graduate students, considerable attention has been devoted to non-standard topics, such as second-grade materials, Cosserat media and functionally graded bodies. | ||
650 | 0 | _aEngineering. | |
650 | 0 | _aApplied mathematics. | |
650 | 0 | _aEngineering mathematics. | |
650 | 0 | _aMechanics. | |
650 | 0 | _aContinuum mechanics. | |
650 | 1 | 4 | _aEngineering. |
650 | 2 | 4 | _aContinuum Mechanics and Mechanics of Materials. |
650 | 2 | 4 | _aAppl.Mathematics/Computational Methods of Engineering. |
650 | 2 | 4 | _aApplications of Mathematics. |
650 | 2 | 4 | _aMechanics. |
700 | 1 |
_aElżanowski, Marek. _eauthor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540723721 |
830 | 0 |
_aInteraction Mechanics, Mathematics, _x1860-6245 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-540-72373-8 |
912 | _aZDB-2-ENG | ||
950 | _aEngineering (Springer-11647) | ||
999 |
_c509844 _d509844 |