Mathematical Modelling of Solids with Nonregular Boundaries

ISBN-13: 9780849383380 / Angielski / Twarda / 1995 / 352 str.

A. B. Movchan; Nicola Bellomo; N. Bellomo

Opis

This volume illustrates approaches to analyzing problems in fracture mechanics. It examines the application of asymptotic analysis to strength evaluation in models of elastic structures and geophysics. In addition, it provides analytical techniques for studying singularly perturbed problems.

Recenzje

"Of interest to advanced graduate students and scientists who work in the area of fracture mechanics."
- Applied Mechanics Reviews, Volume 49, Number 3, March 1996

Spis treści

PrefaceIntroductionEquations of Linear ElasticityCracks and InclusionsThe Pólya-Szegö MatrixThe Concept of the Asymptotic ExpansionsExercisesModelling of Cracks and Thin Inclusions in Elastic MediaCracks with Smoothly Closed EdgesThin Rectangular HolesFormation of a Griffith's Crack in a Nonuniform Stress FieldGeneralization of the Novozhilov Problem for Stationary Propagating CracksState of Stress in a Plane with a Thin Elastic InclusionExercisesDomains with Conical and Cylindrical BoundariesStress-Strain State in a Neighbourhood of Conical Inclusions and CavitiesAsymptotics of Singularity Exponents at the Tip of an Angular CrackEquations of Linear Elasticity in Thin DomainsAsymptotic Analysis of the Longitudinal Jump in Adhesively Bonded JointsLekhnitskii's ProblemsAsymptotic Interpretation of Solutions to Lekhnitskii's ProblemExercisesStress-Strain State in the Vicinity of Sharp InclusionsAsymptotic Behaviour of the Stress-Strain State in the Vicinity of Sharp Defects in an Elastic BodyOn the Stress Concentration Near Soft and Rigid Cusp-Shaped InclusionsExercisesIntegral Characteristics in Elasticity Problems for Nonhomogeneous BodiesIntegral Characteristics of Elastic Inclusions and Cavities in Two-Dimensional Theory of Elasticity Vibration of Elastic Solids with Small HolesQuasistatic Interaction of a Crack with Small DefectsExercisesAppendix ReferencesIndex

O autorze

Movchan\, A.B.; Movchan\, N.V.