000 03594nam a22005535i 4500
001 978-3-319-50598-5
003 DE-He213
005 20220801222759.0
007 cr nn 008mamaa
008 170310s2017 sz | s |||| 0|eng d
020 _a9783319505985
_9978-3-319-50598-5
024 7 _a10.1007/978-3-319-50598-5
_2doi
050 4 _aQA843-871
072 7 _aGPFC
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aGPFC
_2thema
082 0 4 _a515.39
_223
100 1 _aO'Reilly, Oliver M.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_963322
245 1 0 _aModeling Nonlinear Problems in the Mechanics of Strings and Rods
_h[electronic resource] :
_bThe Role of the Balance Laws /
_cby Oliver M. O'Reilly.
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXX, 425 p. 147 illus., 137 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 _aInteraction of Mechanics and Mathematics,
_x1860-6253
505 0 _aPart I Mechanics of Strings -- Mechanics of a String -- Applications of the Mechanics of a String -- Link, Writhe, and Twist -- Part II Mechanics of Rods -- Theory of the Elastica and a Selection of its Applications -- Kirchoff's Rod Theory -- Theory of an Elastic Rod with Extension and Shear -- Green and Naghdi's Rod Theory -- Part III Background Material -- A Rapid Review of Some Elements of Continuum Mechanics -- Variational Methods.
520 _aThis book presents theories of deformable elastic strings and rods and their application to broad classes of problems. Readers will gain insights into the formulation and analysis of models for mechanical and biological systems. Emphasis is placed on how the balance laws interplay with constitutive relations to form a set of governing equations. For certain classes of problems, it is shown how a balance of material momentum can play a key role in forming the equations of motion. The first half of the book is devoted to the purely mechanical theory of a string and its applications. The second half of the book is devoted to rod theories, including Euler’s theory of the elastica, Kirchhoff ’s theory of an elastic rod, and a range of Cosserat rod theories. A variety of classic and recent applications of these rod theories are examined. Two supplemental chapters, the first on continuum mechanics of three-dimensional continua and the second on methods from variational calculus, are included to provide relevant background for students. This book is suited for graduate-level courses on the dynamics of nonlinearly elastic rods and strings.
650 0 _aDynamical systems.
_963323
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 0 _aNonlinear Optics.
_911414
650 1 4 _aDynamical Systems.
_963324
650 2 4 _aSolid Mechanics.
_931612
650 2 4 _aNonlinear Optics.
_911414
710 2 _aSpringerLink (Online service)
_963325
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319505961
776 0 8 _iPrinted edition:
_z9783319505978
776 0 8 _iPrinted edition:
_z9783319844374
830 0 _aInteraction of Mechanics and Mathematics,
_x1860-6253
_963326
856 4 0 _uhttps://doi.org/10.1007/978-3-319-50598-5
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c81148
_d81148