LEADER 05765nam 2200709Ia 450 001 9910782226603321 005 20230721033214.0 010 $a1-281-96830-7 010 $a9786611968304 010 $a981-283-268-8 035 $a(CKB)1000000000551208 035 $a(EBL)1193352 035 $a(SSID)ssj0000304661 035 $a(PQKBManifestationID)12115381 035 $a(PQKBTitleCode)TC0000304661 035 $a(PQKBWorkID)10284551 035 $a(PQKB)10775764 035 $a(MiAaPQ)EBC1193352 035 $a(WSP)00000389 035 $a(Au-PeEL)EBL1193352 035 $a(CaPaEBR)ebr10688036 035 $a(CaONFJC)MIL196830 035 $a(OCoLC)318879598 035 $a(EXLCZ)991000000000551208 100 $a20080404d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNumerical simulation of waves and fronts in inhomogeneous solids$b[electronic resource] /$fArkadi Berezovski, Juri Engelbrecht, Gerard A Maugin 210 $aHackensack, NJ $cWorld Scientific$dc2008 215 $a1 online resource (236 p.) 225 1 $aWorld Scientific series on nonlinear science,$xSeries A Monographs and treatises ;$vv. 62 300 $aDescription based upon print version of record. 311 $a981-283-267-X 320 $aIncludes bibliographical references (p. 209-219) and index. 327 $aPreface; Contents; 1. Introduction; 1.1 Waves and fronts; 1.2 True and quasi-inhomogeneities; 1.3 Driving force and the corresponding dissipation; 1.4 Example of a straight brittle crack; 1.5 Example of a phase-transition front; 1.6 Numerical simulations of moving discontinuities; 1.7 Outline of the book; 2. Material Inhomogeneities in Thermomechanics; 2.1 Kinematics; 2.2 Integral balance laws; 2.3 Localization and jump relations; 2.3.1 Local balance laws; 2.3.2 Jump relations; 2.3.3 Constitutive relations; 2.4 True and quasi-material inhomogeneities; 2.4.1 Balance of pseudomomentum 327 $a2.5 Brittle fracture2.5.1 Straight brittle crack; 2.6 Phase-transition fronts; 2.6.1 Jump relations; 2.6.2 Driving force; 2.7 On the exploitation of Eshelby's stress in isothermal and adiabatic conditions; 2.7.1 Driving force at singular surface in adiabatic conditions; 2.7.2 Another approach to the driving force; 2.8 Concluding remarks; 3. Local Phase Equilibrium and Jump Relations at Moving Discontinuities; 3.1 Intrinsic stability of simple systems; 3.2 Local phase equilibrium; 3.2.1 Classical equilibrium conditions; 3.2.2 Local equilibrium jump relations; 3.3 Non-equilibrium states 327 $a3.4 Local equilibrium jump relations at discontinuity3.5 Excess quantities at a moving discontinuity; 3.6 Velocity of moving discontinuity; 3.7 Concluding remarks; 4. Linear Thermoelasticity; 4.1 Local balance laws; 4.2 Balance of pseudomomentum; 4.3 Jump relations; 4.4 Wave-propagation algorithm: an example of finite volume methods; 4.4.1 One-dimensional elasticity; 4.4.2 Averaged quantities; 4.4.3 Numerical fluxes; 4.4.4 Second order corrections; 4.4.5 Conservative wave propagation algorithm; 4.5 Local equilibrium approximation; 4.5.1 Excess quantities and numerical fluxes 327 $a4.5.2 Riemann problem4.5.3 Excess quantities at the boundaries between cells; 4.6 Concluding remarks; 5. Wave Propagation in Inhomogeneous Solids; 5.1 Governing equations; 5.2 One-dimensional waves in periodic media; 5.3 One-dimensional weakly nonlinear waves in periodic media; 5.4 One-dimensional linear waves in laminates; 5.5 Nonlinear elastic wave in laminates under impact loading; 5.5.1 Problem formulation; 5.5.2 Comparison with experimental data; 5.5.3 Discussion of results; 5.6 Waves in functionally graded materials; 5.7 Concluding remarks 327 $a6. Macroscopic Dynamics of Phase-Transition Fronts6.1 Isothermal impact-induced front propagation; 6.1.1 Uniaxial motion of a slab; 6.1.2 Excess quantities in the bulk; 6.1.3 Excess quantities at the phase boundary; 6.1.4 Initiation criterion for the stress-induced phase transformation; 6.1.5 Velocity of the phase boundary; 6.2 Numerical simulations; 6.2.1 Algorithm description; 6.2.2 Comparison with experimental data; 6.3 Interaction of a plane wave with phase boundary; 6.3.1 Pseudoelastic behavior; 6.4 One-dimensional adiabatic fronts in a bar; 6.4.1 Formulation of the problem 327 $a6.4.2 Adiabatic approximation 330 $aThis book shows the advanced methods of numerical simulation of waves and fronts propagation in inhomogeneous solids and introduces related important ideas associated with the application of numerical methods for these problems. Great care has been taken throughout the book to seek a balance between the thermomechanical analysis and numerical techniques. It is suitable for advanced undergraduate and graduate courses in continuum mechanics and engineering. Necessary prerequisites for this text are basic continuum mechanics and thermodynamics. Some elementary knowledge of numerical methods for p 410 0$aWorld Scientific series on nonlinear science.$nSeries A,$pMonographs and treatises ;$vv. 62. 606 $aElastic solids 606 $aInhomogeneous materials 606 $aWave-motion, Theory of 615 0$aElastic solids. 615 0$aInhomogeneous materials. 615 0$aWave-motion, Theory of. 676 $a530.4/12 700 $aBerezovski$b Arkadi$0867442 701 $aEngelbrecht$b Juri$0344257 701 $aMaugin$b G. A$g(Gerard A.),$f1944-$031842 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910782226603321 996 $aNumerical simulation of waves and fronts in inhomogeneous solids$93819383 997 $aUNINA