Theory of Elasticity

1. Auflage. 2010
ISBN: 978-3-642-11391-8
Verlag: Springer

Buch, Englisch, 716 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 2620 g

Suchtechnicaltheorieshavealwaysfurnishedresultsexperimentallyveri ed v vi Preface withgoodapproximationandthenamongthemIhavepresentedthosethatarestill usefultoolsofveri cationintheStructuraldesign. Throughouttheanalysisoftheelasticproblemsmyconstantfocushasbeento achievethemaximumclarityandbecauseofthisIhavesacri cedvariousbright discussions. Ihavedevelopedthetreatmentofthesubjectsinclassicalway,butto thelightofthemodernMathematicaltheoryoftheelasticityandwithmoreaccented relief to the connections with the Thermodynamics. Just for this, to give a clear justi cationofthefundamentalequationoftheThermoelasticityIhaveapplieda techniqueofanalysisproperoftheFluiddynamics. Howeverinthediscussionof theunilateralproblems,wheretheFunctionalanalysisiscompulsory,Ihaverelated indetailsthemathematicalaspectsofthetheoreticalanalysis. Roma,Italy AldoMaceri October2009 Contents 1 The Three-Dimensional Problem. 1 1. 1 AnalysisofStrain. 1 1. 1. 1 ComponentsofDisplacement. 1 1. 1. 2 In nitesimalDeformation. 2 1. 1. 3 ElongationandShearingStrain. 4 1. 1. 4 SmallDeformations. 5 1. 1. 5 ComponentsofStrain. 9 1. 1. 6 PrincipalDirectionofStrain. 14 1. 1. 7 InvariantsofStrain. 21 1. 1. 8 PlaneStateofStrain. 23 1. 1. 9 EquationsofCompatibility. 24 1. 1. 10MeasurementofStrain. 25 1. 2 AnalysisofStress. 27 1. 2. 1 StressVector. 27 1. 2. 2 NormalStress–ShearingStress. 29 1. 2. 3 ComponentsofStress. 30 1. 2. 4 Symmetryof? –DifferentialEquations ofEquilibrium–Cauchy’sBoundaryConditions. 31 1. 2. 5 SymmetryofStressVector. 38 1. 2. 6 RelationsBetweenNormalorShearingStress andComponentsofStress. 39 1. 2. 7 PrincipalDirectionofStress. 40 1. 2. 8 InvariantsofStress. 42 1. 2. 9 Mohr’sCircle. 43 1. 2. 10Mohr’sPrincipalCircles. 57 1. 2. 11 DeterminationoftheMaximumNormalStress orShearingStressbytheMohr’sPrincipalCircles. 61 1. 2. 12PlaneStateofStress. 63 1. 2. 13UniaxialStateofStress. 65 1. 2. 14MeasurementofStress. 66 1. 3 PrincipleofVirtualWorks. 66 1. 3. 1 PrincipleofVirtualWorks.

Zielgruppe

Research

Autoren/Hrsg.

Maceri, Aldo

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Elastizität, Plastizität, Rheologie

Inhaltsverzeichnis

The Three-Dimensional Problem.- The Problem of Saint Venant.- The Two-Dimensional Problems.- The One-Dimensional Problems.- Thermoelasticity.- Stability.- Anisotropy.- Nonlinear Elasticity.