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010   $a3-319-16495-3
024 7 $a10.1007/978-3-319-16495-3
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035   $a(DE-He213)978-3-319-16495-3
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100   $a20150319d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aGeometric Continuum Mechanics and Induced Beam Theories /$fby Simon R. Eugster
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (146 p.)
225 1 $aLecture Notes in Applied and Computational Mechanics,$x1613-7736 ;$v75
300   $aDescription based upon print version of record.
311 08$a3-319-16494-5 
320   $aIncludes bibliographical references at the end of each chapters and index.
327   $aIntroduction -- Part I Geometric Continuum Mechanics -- Part II Induced Beam Theories.
330   $aThis research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories.
410  0$aLecture Notes in Applied and Computational Mechanics,$x1613-7736 ;$v75
606   $aMechanics
606   $aMechanics, Applied
606   $aField theory (Physics)
606   $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010
606   $aClassical and Continuum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P2100X
606   $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010
615  0$aMechanics.
615  0$aMechanics, Applied.
615  0$aField theory (Physics)
615 14$aSolid Mechanics.
615 24$aClassical and Continuum Physics.
615 24$aSolid Mechanics.
676   $a624.17723
700   $aR. Eugster$b Simon$4aut$4http://id.loc.gov/vocabulary/relators/aut$01062644
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910299689003321
996   $aGeometric Continuum Mechanics and Induced Beam Theories$92527371
997   $aUNINA