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Asymptotic models of fields in dilute and densely packed composites [[electronic resource] /] / A.B. Movchan, N.V. Movchan, C.G. Poulton
| Asymptotic models of fields in dilute and densely packed composites [[electronic resource] /] / A.B. Movchan, N.V. Movchan, C.G. Poulton |
| Autore | Movchan A. B (Alexander B.) |
| Pubbl/distr/stampa | London, : Imperial College Press |
| Descrizione fisica | 1 online resource (204 p.) |
| Disciplina | 620.118 |
| Altri autori (Persone) |
MovchanN. V (Nataliya V.)
PoultonC. G (Chris G.) |
| Soggetto topico |
Boundary value problems - Asymptotic theory
Composite materials - Defects - Mathematical models Differential equations, Partial - Asymptotic theory Elasticity Electromagnetism |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-86094-961-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Chapter 1 Long and close range interaction within elastic structures ; 1.1 Dilute composite structures. Scalar problems ; 1.1.1 An elementary example. Motivation ; 1.1.2 Asymptotic algorithm involving a boundary layer ; 1.1.2.1 Formulation of the problem
1.1.2.2 The leading-order approximation 1.1.2.3 Asymptotic formula for the energy ; 1.1.3 The dipole matrix ; 1.1.3.1 Definition of the dipole matrix ; 1.1.3.2 Symmetry of the dipole matrix ; 1.1.3.3 The energy asymptotics for a body with a small void 1.1.4 Dipole matrix for a 2D void in an infinite plane 1.1.5 Dipole matrices for inclusions ; 1.1.6 A note on homogenization of dilute periodic structures ; 1.2 Dipole fields in vector problems of linear elasticity ; 1.2.1 Definitions and governing equations 1.2.2 Physical interpretation 1.2.3 Evaluation of the elements of the dipole matrix ; 1.2.4 Examples ; 1.2.5 The energy equivalent voids ; 1.3 Circular elastic inclusions ; 1.3.1 Inclusions with perfect bonding at the interface ; 1.3.2 Dipole tensors for imperfectly bonded inclusions 1.3.2.1 Derivation of transmission conditions at the zero-thickness interface 1.3.2.2 Neutral coated inclusions ; 1.4 Close-range contact between elastic inclusions ; 1.4.1 Governing equations ; 1.4.2 Complex potentials ; 1.4.3 Analysis for two circular elastic inclusions 1.4.4 Square array of circular inclusions |
| Record Nr. | UNINA-9910457965003321 |
Movchan A. B (Alexander B.)
|
||
| London, : Imperial College Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asymptotic models of fields in dilute and densely packed composites [[electronic resource] /] / A.B. Movchan, N.V. Movchan, C.G. Poulton
| Asymptotic models of fields in dilute and densely packed composites [[electronic resource] /] / A.B. Movchan, N.V. Movchan, C.G. Poulton |
| Autore | Movchan A. B (Alexander B.) |
| Pubbl/distr/stampa | London, : Imperial College Press |
| Descrizione fisica | 1 online resource (204 p.) |
| Disciplina | 620.118 |
| Altri autori (Persone) |
MovchanN. V (Nataliya V.)
PoultonC. G (Chris G.) |
| Soggetto topico |
Boundary value problems - Asymptotic theory
Composite materials - Defects - Mathematical models Differential equations, Partial - Asymptotic theory Elasticity Electromagnetism |
| ISBN | 1-86094-961-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Chapter 1 Long and close range interaction within elastic structures ; 1.1 Dilute composite structures. Scalar problems ; 1.1.1 An elementary example. Motivation ; 1.1.2 Asymptotic algorithm involving a boundary layer ; 1.1.2.1 Formulation of the problem
1.1.2.2 The leading-order approximation 1.1.2.3 Asymptotic formula for the energy ; 1.1.3 The dipole matrix ; 1.1.3.1 Definition of the dipole matrix ; 1.1.3.2 Symmetry of the dipole matrix ; 1.1.3.3 The energy asymptotics for a body with a small void 1.1.4 Dipole matrix for a 2D void in an infinite plane 1.1.5 Dipole matrices for inclusions ; 1.1.6 A note on homogenization of dilute periodic structures ; 1.2 Dipole fields in vector problems of linear elasticity ; 1.2.1 Definitions and governing equations 1.2.2 Physical interpretation 1.2.3 Evaluation of the elements of the dipole matrix ; 1.2.4 Examples ; 1.2.5 The energy equivalent voids ; 1.3 Circular elastic inclusions ; 1.3.1 Inclusions with perfect bonding at the interface ; 1.3.2 Dipole tensors for imperfectly bonded inclusions 1.3.2.1 Derivation of transmission conditions at the zero-thickness interface 1.3.2.2 Neutral coated inclusions ; 1.4 Close-range contact between elastic inclusions ; 1.4.1 Governing equations ; 1.4.2 Complex potentials ; 1.4.3 Analysis for two circular elastic inclusions 1.4.4 Square array of circular inclusions |
| Record Nr. | UNINA-9910784798703321 |
|
Movchan A. B (Alexander B.)
|
||
| London, : Imperial College Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asymptotic models of fields in dilute and densely packed composites / / A.B. Movchan, N.V. Movchan, C.G. Poulton
| Asymptotic models of fields in dilute and densely packed composites / / A.B. Movchan, N.V. Movchan, C.G. Poulton |
| Autore | Movchan A. B (Alexander B.) |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | London, : Imperial College Press |
| Descrizione fisica | 1 online resource (204 p.) |
| Disciplina | 620.118 |
| Altri autori (Persone) |
MovchanN. V (Nataliya V.)
PoultonC. G (Chris G.) |
| Soggetto topico |
Boundary value problems - Asymptotic theory
Composite materials - Defects - Mathematical models Differential equations, Partial - Asymptotic theory Elasticity Electromagnetism |
| ISBN | 1-86094-961-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Chapter 1 Long and close range interaction within elastic structures ; 1.1 Dilute composite structures. Scalar problems ; 1.1.1 An elementary example. Motivation ; 1.1.2 Asymptotic algorithm involving a boundary layer ; 1.1.2.1 Formulation of the problem
1.1.2.2 The leading-order approximation 1.1.2.3 Asymptotic formula for the energy ; 1.1.3 The dipole matrix ; 1.1.3.1 Definition of the dipole matrix ; 1.1.3.2 Symmetry of the dipole matrix ; 1.1.3.3 The energy asymptotics for a body with a small void 1.1.4 Dipole matrix for a 2D void in an infinite plane 1.1.5 Dipole matrices for inclusions ; 1.1.6 A note on homogenization of dilute periodic structures ; 1.2 Dipole fields in vector problems of linear elasticity ; 1.2.1 Definitions and governing equations 1.2.2 Physical interpretation 1.2.3 Evaluation of the elements of the dipole matrix ; 1.2.4 Examples ; 1.2.5 The energy equivalent voids ; 1.3 Circular elastic inclusions ; 1.3.1 Inclusions with perfect bonding at the interface ; 1.3.2 Dipole tensors for imperfectly bonded inclusions 1.3.2.1 Derivation of transmission conditions at the zero-thickness interface 1.3.2.2 Neutral coated inclusions ; 1.4 Close-range contact between elastic inclusions ; 1.4.1 Governing equations ; 1.4.2 Complex potentials ; 1.4.3 Analysis for two circular elastic inclusions 1.4.4 Square array of circular inclusions |
| Record Nr. | UNINA-9910816450503321 |
|
Movchan A. B (Alexander B.)
|
||
| London, : Imperial College Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||