000 02719nam a22005415i 4500
001 978-3-319-00879-0
003 DE-He213
005 20200421112039.0
007 cr nn 008mamaa
008 130811s2014 gw | s |||| 0|eng d
020 _a9783319008790
_9978-3-319-00879-0
024 7 _a10.1007/978-3-319-00879-0
_2doi
050 4 _aTA329-348
050 4 _aTA640-643
072 7 _aTBJ
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
100 1 _aWatanabe, Kazumi.
_eauthor.
245 1 0 _aIntegral Transform Techniques for Green's Function
_h[electronic resource] /
_cby Kazumi Watanabe.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXII, 190 p. 34 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Applied and Computational Mechanics,
_x1613-7736 ;
_v71
505 0 _aDefinition of integral transforms and distributions -- Green's functions for Laplace and wave equations -- Green's dyadic for an isotropic elastic solid -- Acoustic wave in an uniform flow -- Green's functions for beam and plate -- Cagniard de Hoop technique -- Miscellaneous Green's functions -- Exercises.
520 _aIn this book mathematical techniques for integral transforms are described in detail but concisely. The techniques are applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. The Green's functions for beams, plates and acoustic media are also shown along with their mathematical derivations. Lists of Green's functions are presented for the future use. The Cagniard's-de Hoop method for the double inversion is described in detail, and 2D and 3D elasto-dynamics problems are fully treated.
650 0 _aEngineering.
650 0 _aIntegral transforms.
650 0 _aOperational calculus.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 0 _aMechanics.
650 0 _aMechanics, Applied.
650 1 4 _aEngineering.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
650 2 4 _aTheoretical and Applied Mechanics.
650 2 4 _aIntegral Transforms, Operational Calculus.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319008783
830 0 _aLecture Notes in Applied and Computational Mechanics,
_x1613-7736 ;
_v71
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-00879-0
912 _aZDB-2-ENG
942 _cEBK
999 _c56521
_d56521