000 03479nam a22005055i 4500
001 978-3-642-39298-6
003 DE-He213
005 20200421112036.0
007 cr nn 008mamaa
008 130706s2014 gw | s |||| 0|eng d
020 _a9783642392986
_9978-3-642-39298-6
024 7 _a10.1007/978-3-642-39298-6
_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 _aNguyen, Ngoc Son.
_eauthor.
245 1 0 _aMultiple Impacts in Dissipative Granular Chains
_h[electronic resource] /
_cby Ngoc Son Nguyen, Bernard Brogliato.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2014.
300 _aXX, 234 p.
_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 ;
_v72
505 0 _aIntroduction -- Multiple impacts in in granular chains -- Rigid-body multiple impact laws -- LZB multiple impact model -- Analysis and validation of the LZB model.
520 _aThe extension of collision models for single impacts between two bodies, to the case of multiple impacts (which take place when several collisions occur at the same time in a multibody system) is a challenge in Solid Mechanics, due to the complexity of such phenomena, even in the frictionless case. This monograph aims at presenting the main multiple collision rules proposed in the literature. Such collisions typically occur in granular materials, the simplest of which are made of chains of aligned balls. These chains are used throughout the book to analyze various multiple impact rules which extend the classical Newton (kinematic restitution), Poisson (kinetic restitution) and Darboux-Keller (energetic or kinetic restitution) approaches for impact modelling. The shock dynamics in various types of chains of aligned balls (monodisperse, tapered, decorated, stepped chains) is carefully studied and shown to depend on several parameters: restitution coefficients, contact stiffness ratios, elasticity coefficients (linear or nonlinear force/ indentation relation), and kinetic angles (that depend on the mass ratios). The dissipation and the dispersion of kinetic energy during a multiple impact are mandatory modelling, and are quantified with suitable indices. Particular attention is paid to the ability of the presented laws to correctly predict the wave effects in the chains. Comparisons between many numerical and experimental results are shown, as well as comparisons between four different impact laws in terms of their respective abilities to correctly model dissipation and dispersion of energy.
650 0 _aEngineering.
650 0 _aMechanics.
650 0 _aContinuum mechanics.
650 1 4 _aEngineering.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
650 2 4 _aMechanics.
700 1 _aBrogliato, Bernard.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642392979
830 0 _aLecture Notes in Applied and Computational Mechanics,
_x1613-7736 ;
_v72
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-39298-6
912 _aZDB-2-ENG
942 _cEBK
999 _c56351
_d56351