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Numerical simulation of waves and fronts in inhomogeneous solids [[electronic resource] /] / Arkadi Berezovski, Juri Engelbrecht, Gerard A Maugin
| Numerical simulation of waves and fronts in inhomogeneous solids [[electronic resource] /] / Arkadi Berezovski, Juri Engelbrecht, Gerard A Maugin |
| Autore | Berezovski Arkadi |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (236 p.) |
| Disciplina | 530.4/12 |
| Altri autori (Persone) |
EngelbrechtJuri
MauginG. A <1944-> (Gerard A.) |
| Collana | World Scientific series on nonlinear science |
| Soggetto topico |
Elastic solids
Inhomogeneous materials Wave-motion, Theory of |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-96830-7
9786611968304 981-283-268-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; 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
2.5 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 3.4 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 4.5.2 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 6. 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 6.4.2 Adiabatic approximation |
| Record Nr. | UNINA-9910453831303321 |
Berezovski Arkadi
|
||
| Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Numerical simulation of waves and fronts in inhomogeneous solids [[electronic resource] /] / Arkadi Berezovski, Juri Engelbrecht, Gerard A Maugin
| Numerical simulation of waves and fronts in inhomogeneous solids [[electronic resource] /] / Arkadi Berezovski, Juri Engelbrecht, Gerard A Maugin |
| Autore | Berezovski Arkadi |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (236 p.) |
| Disciplina | 530.4/12 |
| Altri autori (Persone) |
EngelbrechtJuri
MauginG. A <1944-> (Gerard A.) |
| Collana | World Scientific series on nonlinear science |
| Soggetto topico |
Elastic solids
Inhomogeneous materials Wave-motion, Theory of |
| ISBN |
1-281-96830-7
9786611968304 981-283-268-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; 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
2.5 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 3.4 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 4.5.2 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 6. 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 6.4.2 Adiabatic approximation |
| Record Nr. | UNINA-9910782226603321 |
|
Berezovski Arkadi
|
||
| Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Numerical simulation of waves and fronts in inhomogeneous solids / / Arkadi Berezovski, Juri Engelbrecht, Gerard A Maugin
| Numerical simulation of waves and fronts in inhomogeneous solids / / Arkadi Berezovski, Juri Engelbrecht, Gerard A Maugin |
| Autore | Berezovski Arkadi |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (236 p.) |
| Disciplina | 530.4/12 |
| Altri autori (Persone) |
EngelbrechtJuri
MauginG. A <1944-> (Gerard A.) |
| Collana | World Scientific series on nonlinear science |
| Soggetto topico |
Elastic solids
Inhomogeneous materials Wave-motion, Theory of |
| ISBN |
1-281-96830-7
9786611968304 981-283-268-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; 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
2.5 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 3.4 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 4.5.2 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 6. 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 6.4.2 Adiabatic approximation |
| Record Nr. | UNINA-9910825711603321 |
|
Berezovski Arkadi
|
||
| Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||