000			06359cam a2200781 i 4500
001			ocn878668144
003			OCoLC
005			20171030133328.0
006			m o d
007			cr |||||||||||
008			140428s2014 si ob 001 0 eng
010			_a 2014016885
020			_a9781118567289 _q(ePub)
020			_a1118567285 _q(ePub)
020			_a9781118567227 _q(Adobe PDF)
020			_a1118567226 _q(Adobe PDF)
020			_a9781118567210 _q(electronic bk.)
020			_a1118567218 _q(electronic bk.)
020			_a111856720X _q(cloth)
020			_a9781118567203 _q(cloth)
020			_a9781306979764 _q(MyiLibrary)
020			_a1306979765 _q(MyiLibrary)
020			_z9781118567203 _q(cloth)
029	1		_aCHBIS _b010442047
029	1		_aCHVBK _b334092353
029	1		_aDEBSZ _b431727732
029	1		_aNZ1 _b15906880
029	1		_aDEBSZ _b475027361
029	1		_aDEBBG _bBV043396729
035			_a(OCoLC)878668144 _z(OCoLC)884646610 _z(OCoLC)889305901 _z(OCoLC)961577277 _z(OCoLC)962610705
040			_aDLC _beng _erda _epn _cDLC _dYDX _dYDXCP _dDG1 _dIDEBK _dN$T _dCDX _dCOO _dRECBK _dE7B _dEBLCP _dDEBSZ _dOCLCQ _dDEBBG
042			_apcc
049			_aMAIN
050	0	0	_aTA357.5.G47
072		7	_aSCI _x041000 _2bisacsh
072		7	_aSCI _x096000 _2bisacsh
082	0	0	_a531/.163 _223
100	1		_aMatuttis, Hans-Georg, _eauthor.
245	1	0	_aUnderstanding the discrete element method : simulation of non-spherical particles for granular and multi-body systems / _cHans-Georg Matuttis, the University of Electro-Communications, Japan, Jian Chen, Riken Advanced Institute for Computational Science, Japan. _h[electronic resource]
264		1	_aSingapore : _bWiley, _c2014.
300			_a1 online resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bn _2rdamedia
338			_aonline resource _bnc _2rdacarrier
504			_aIncludes bibliographical references and index.
505	0		_aUNDERSTANDING THE DISCRETE ELEMENT METHOD SIMULATION OF NON-SPHERICAL PARTICLES FOR GRANULARAND MULTI-BODY SYSTEMS; Copright; Contents; Exercises; About the Authors; Preface; Acknowledgements; List of Abbreviations; 1 Mechanics; 1.1 Degrees of freedom; 1.1.1 Particle mechanics and constraints; 1.1.2 From point particles to rigid bodies; 1.1.3 More context and terminology; 1.2 Dynamics of rectilinear degrees of freedom; 1.3 Dynamics of angular degrees of freedom; 1.3.1 Rotation in two dimensions; 1.3.2 Moment of inertia; 1.3.3 From two to three dimensions.
505	8		_a1.3.4 Rotation matrix in three dimensions1.3.5 Three-dimensional moments of inertia; 1.3.6 Space-fixed and body-fixed coordinate systems andequations of motion; 1.3.7 Problems with Euler angles; 1.3.8 Rotations represented using complex numbers; 1.3.9 Quaternions; 1.3.10 Derivation of quaternion dynamics; 1.4 The phase space; 1.4.1 Qualitative discussion of the time dependence of linear oscillations; 1.4.2 Resonance; 1.4.3 The flow in phase space; 1.5 Nonlinearities; 1.5.1 Harmonic balance; 1.5.2 Resonance in nonlinear systems; 1.5.3 Higher harmonics and frequency mixing.
505	8		_a1.5.4 The van der Pol oscillator1.6 From higher harmonics to chaos; 1.6.1 The bifurcation cascade; 1.6.2 The nonlinear frictional oscillator and Poincar ́e maps; 1.6.3 The route to chaos; 1.6.4 Boundary conditions and many-particle systems; 1.7 Stability and conservationlaws; 1.7.1 Stability in statics; 1.7.2 Stability in dynamics; 1.7.3 Stable axes of rotation around the principal axis; 1.7.4 Noether's theorem and conservation laws; 1.8 Further reading; Exercises; References; 2Numerical Integration of OrdinaryDifferential Equations; 2.1 Fundamentals of numerical analysis.
505	8		_a2.1.1 Floating point numbers2.1.2 Big-O notation; 2.1.3 Relative and absolute error; 2.1.4 Truncation error; 2.1.5 Local and global error; 2.1.6 Stability; 2.1.7 Stable integrators for unstable problems; 2.2 Numerical analysis for ordinary differential equations; 2.2.1 Variable notation and transformation of the order of adifferential equation; 2.2.2 Differences in the simulation of atoms and molecules, as compared to macroscopic particles; 2.2.3 Truncation error for solutions of ordinary differential equations; 2.2.4 Fundamental approaches; 2.2.5 Explicit Euler method.
505	8		_a2.2.6 Implicit Euler method2.3 Runge-Kutta methods; 2.3.1 Adaptive step-size control; 2.3.2 Dense output and event location; 2.3.3 Partitioned Runge-Kutta methods; 2.4 Symplectic methods; 2.4.1 The classical Verlet method; 2.4.2 Velocity-Verlet methods; 2.4.3 Higher-order velocity-Verlet methods; 2.4.4 Pseudo-symplectic methods; 2.4.5 Order, accuracy and energy conservation; 2.4.6 Backward error analysis; 2.4.7 Case study: the harmonic oscillator with andwithout viscous damping; 2.5 Stiff problems; 2.5.1 Evaluating computational costs; 2.5.2 Stiff solutions and error as noise.
520			_aGives readers a more thorough understanding of DEM and equips researchers for independent work and an ability to judge methods related to simulation of polygonal particles Introduces DEM from the fundamental concepts (theoretical mechanics and solidstate physics), with 2D and 3D simulation methods for polygonal particlesProvides the fundamentals of coding discrete element method (DEM) requiring little advance knowledge of granular matter or numerical simulationHighlights the numerical tricks and pitfalls that are usually only realized after years o.
588	0		_aPrint version record and CIP data provided by publisher.
650		0	_aGranular flow.
650		0	_aDiscrete element method.
650		0	_aMultibody systems.
650		0	_aMechanics, Applied _xComputer simulation.
650		4	_aDiscrete element method.
650		4	_aGranular flow.
650		4	_aMechanics, Applied _xComputer simulation.
650		4	_aMultibody systems.
650		7	_aSCIENCE _xMechanics _xGeneral. _2bisacsh
650		7	_aSCIENCE _xMechanics _xSolids. _2bisacsh
655		4	_aElectronic books.
700	1		_aChen, J. F. _q(Jian-Fei), _d1963- _eauthor.
776	0	8	_iPrint version: _aMatuttis, Hans-Georg, author. _tUnderstanding the discrete element method. _dHoboken, NJ : John Wiley & Sons Inc., 2014 _z9781118567203 _w(DLC) 2014005447
856	4	0	_uhttp://onlinelibrary.wiley.com/book/10.1002/9781118567210 _zWiley Online Library
942			_2ddc _cBK
999			_c207409 _d207409