05510nam 2200721Ia 450 991045796500332120200520144314.01-86094-961-4(CKB)1000000000399195(EBL)1681508(OCoLC)879074395(SSID)ssj0000107020(PQKBManifestationID)11133719(PQKBTitleCode)TC0000107020(PQKBWorkID)10012325(PQKB)11540850(MiAaPQ)EBC1681508(WSP)0000P258(Au-PeEL)EBL1681508(CaPaEBR)ebr10201305(CaONFJC)MIL505351(EXLCZ)99100000000039919520030910d2002 uy 0engur|n|---|||||txtccrAsymptotic models of fields in dilute and densely packed composites[electronic resource] /A.B. Movchan, N.V. Movchan, C.G. PoultonLondon Imperial College Press ;River Edge, NJ World Scientific Pub. [distributor]c20021 online resource (204 p.)Description based upon print version of record.1-86094-318-7 Includes bibliographical references (p. 185-188) and index.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 problem1.1.2.2 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 void1.1.4 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 equations1.2.2 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 inclusions1.3.2.1 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 inclusions1.4.4 Square array of circular inclusions This monograph provides a systematic study of asymptotic models of continuum mechanics for composite structures, which are either dilute (for example, two-phase composite structures with small inclusions) or densely packed (in this case inclusions may be close to touching). It is based on the results of recent research and includes a comprehensive analysis of dipole and multipole fields associated with defects in solids. The text covers static problems of elasticity in dilute composites as well as spectral problems. Applications of the mathematical models included in the book are in damage meBoundary value problemsAsymptotic theoryComposite materialsDefectsMathematical modelsDifferential equations, PartialAsymptotic theoryElasticityElectromagnetismElectronic books.Boundary value problemsAsymptotic theory.Composite materialsDefectsMathematical models.Differential equations, PartialAsymptotic theory.Elasticity.Electromagnetism.620.118Movchan A. B(Alexander B.)58644Movchan N. V(Nataliya V.)945925Poulton C. G(Chris G.)945926MiAaPQMiAaPQMiAaPQBOOK9910457965003321Asymptotic models of fields in dilute and densely packed composites2136846UNINA