05326nam 2200685Ia 450 991078496900332120230829002947.01-281-92449-09786611924492981-277-288-X(CKB)1000000000408867(EBL)1679289(OCoLC)879074155(SSID)ssj0000247136(PQKBManifestationID)12079727(PQKBTitleCode)TC0000247136(PQKBWorkID)10195706(PQKB)11353816(MiAaPQ)EBC1679289(WSP)00006218(Au-PeEL)EBL1679289(CaPaEBR)ebr10201434(CaONFJC)MIL192449(EXLCZ)99100000000040886720070817d2006 uy 0engur|n|---|||||txtccrSmooth particle applied mechanics[electronic resource] the state of the art /William Graham HooverSingapore World Scientificc20061 online resource (315 p.)Advanced series in nonlinear dynamics ;v. 25Description based upon print version of record.981-270-002-1 Includes bibliographical references and index.Contents ; Dedication and Motivation ; Preface ; 1. Physical Ideas Underlying SPAM ; 1.1 Motivation and Summary ; 1.2 Particles versus Continua ; 1.3 Newton's Particle Mechanics ; 1.4 Eulerian and Lagrangian Continuum Mechanics ; 1.5 Computer Simulation of Microscopic Particle Motion1.6 Liouville's Theorem Statistical Mechanics ; 1.7 Simulating Continua with Particles ; 1.8 SPAM [ Smooth Particle Applied Mechanics ] ; 1.9 Example: A Molecular Dynamics Simulation ; 1.10 References ; 2. Continuum Mechanics ; 2.1 Summary and Scope of Continuum Mechanics2.2 Evolution Equations for Fluids and Solids 2.3 Initial and Boundary Conditions ; 2.4 Constitutive Equations for Equilibrium Fluids ; 2.5 Constitutive Relations for Nonequilibrium Fluids ; 2.6 Artificial Viscosity and Conductivity ; 2.7 Constitutive Relations for Elastic Solids2.8 Constitutive Relation for Nonequilibrium Plasticity 2.9 Plasticity Algorithm ; 2.10 Example: Heat Conduction in One Dimension ; 2.11 Example: Sound Propagation in One Dimension ; 2.12 Example: Rayleigh-Benard Flow in Two Dimensions ; 2.13 References ; 3. Smooth Particle Methods3.1 Summary 3.2 Motivation ; 3.3 Basic Equations ; 3.4 Interpolation on an Irregular Grid ; 3.5 Alternative Averages: [ f0 f1 f2 ... ] ; 3.6 Weight Functions ; 3.7 Continuity Equation from V.v with SPAM ; 3.8 Evaluating the Spatial Derivatives {Vp V.P V.Q}3.9 SPAM Equation of Motion and Energy Equation This book takes readers through all the steps necessary for solving hard problems in continuum mechanics with smooth particle methods. Pedagogical problems clarify the generation of initial conditions, the treatment of boundary conditions, the integration of the equations of motion, and the analysis of the results. Particular attention is paid to the parallel computing necessary for large problems and to the graphic displays, including debugging software, required for the efficient completion of computational projects. The book is self-contained, with summaries of classical particle mechanicAdvanced series in nonlinear dynamics ;v. 25.Mechanics, AnalyticMechanics, AppliedMathematical modelsParticle methods (Numerical analysis)Mechanics, Analytic.Mechanics, AppliedMathematical models.Particle methods (Numerical analysis)531Hoover William G(William Graham),1936-47793MiAaPQMiAaPQMiAaPQBOOK9910784969003321Smooth particle applied mechanics3746093UNINA