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AvE4EvA, 2013. — 223 p. — ISBN-10: 87-403-0855-3; ISBN-13: 978-87-403-0855-6.
The level of knowledge content given in this book is designed for the students who have completed elementary mechanics of solids for stresses and strains associated with various geometries including simple trusses, beams, shafts, columns, etc.Fracture mechanics is included in this book with necessary preliminary steps for those who might have had difficulties with the subject in the past.At the successful completion of understanding the content, the students will be able to reach a stage where they can do self-directed learning at any further advanced level in the area of mechanics of solids. The emphasis is given on the fundamental concepts for students to quickly follow through for an advanced level if required in the future.Brief ContentsPrefaceList of SymbolsStress And StrainLinear Elastic Stress-Strain RelationsCircular PlatesFundamentals For Theory Of ElasticityLinear Elastic Stress Field In Cracked BodiesPlastic Deformation Around A Crack TipCrack Growth Based On The Energy BalanceFatigueEndnotes
E-Book Content
Ho Sung Kim Mechanics Solids and Fracture Ho Sung Kim Mechanics of Solids and Fracture 2 Mechanics of Solids and Fracture 1st edition © 2013 Ho Sung Kim & AvE4EvA MuViMixRecords ISBN-10: 87-403-0855-3 ISBN-13: 978-87-403-0855-6 3 Mechanics of Solids and Fracture Contents Contents Preface 9 List of Symbols 10 1 Stress And Strain 12 1.1 Stress at a point 12 1.2 Relation of principal stress with other stress components 13 1.3 Stresses on oblique plane 15 1.4 3D Mohr’s circle representation 19 1.5 Strain at a point 22 2 Linear Elastic Stress-Strain Relations 28 2.1 The Hooke’s law 28 2.2 Calculation of stresses from elastic strains 31 2.3 Plane stress and plane strain 33 2.4 Strain energy 35 4 Mechanics of Solids and Fracture Contents 2.5 Generalised Hooke’s law 38 2.6 Elastic properties dependant on orientation 42 3 Circular Plates 46 3.1 Stress and strain 46 3.2 Bending moment 49 3.3 Slope and deflection without boundary conditions 51 3.4 A general axi-symmetric case where a circular plate is subjected to combined uniformly distributed load (p) and central concentrated load (F) 52 3.5 A case where a circular plate with edges clamped is subjected to a pressure (p) 54 3.6 A case where a circular plate with edges clamped is subjected to a centrally concentrated load (F) 55 3.7 A case where a circular plate with edges freely supported is subjected to a pressure (p) 58 3.8 A case where a circular plate with edges freely supported is subjected to a central 61 concentrated load (F) 3.9 A case where a circular plate with edges freely supported is subjected to a load (F) round a circle 64 3.10 A case where an annular ring with edges freely supported is subjected 68 to a load round a circle (p = 0) 5 Mechanics of Solids and Fracture Contents 4 Fundamentals For Theory Of Elasticity 72 4.1 Equilibrium and compatibility equa