Ingénierie
Mechanics de Deformable Solids
Description
This text covers le more recent developments en le field de engineering solid mechanics. Many investigations have been reported en journals sur a wider-ranging mechanical behaviour de solids under stress than is included en standard texts. Le latter often lack le more fundamental material sur le deformation behaviour observed under conditions de anisotropic elasticity, viscoelasticity, plasticity, creep, fatigue et fracture. In this book these disparate, 'specialist topics' have been placed within a wider mechanics arena that emphasise their common, underlying principles. In summary, this treatise deals avec le essential mechanics de these phenomena. It brings together theory, experimental data, references, examples et exercises, relating to le important advances en le subject, both old et new. Le presentation de material en this way anticipates that it will become established undergraduate/postgraduate course material en future. Le topics presented marry le established theory avec more recent developments citing their sources, often avec this author's appraisals, based upon available experimental data. Le work is intended to provide, within its 13 chapters, a modern reference work pour those studying, teaching et researching le mechanics de deforming solids. It has been compiled from many de le key publications that have advanced le subject over le last Century. Le arrangement de le theoretical subject matter follows a logical progression; isotropic et anisotropic elasticity, elastic-perfect plasticity, plasticity avec hardening, time-dependence, rate- et history-effects et cyclic behaviour. Un student could spend much time searching le literature pour an appropriate description. Le likely result is that he may find himself en a dilema when his search pour a theory reveals a number de alternatives. His view may be prejudiced by whatever approach he first becomes acquainted with. This book recognises that there are many alternative models pour describing inelastic behaviour de metallic materials under load. Le objective has been to present a balanced review de theoretical developments placing le emphasis upon clear exposition et comparison avec experimental data. Dr. David W. A. Rees, D.Sc. is avec le School de Ingénierie et Conception at Brunel University, U.K. He is le author de five previous books sur solid mechanics, structures, engineering plasticity et optimum structural design. This present book is le culmination de his many years de theoretical et experimental research into le manner en which solids deform under load. Reporting et modelling le diverse et often complex responses that appear across a wide range de engineering materials has played a large part en his authorship de over a hundred research publications. This effort has at earlier times been affiliated to Kingston et Surrey Universities, UK; Trinity College, Dublin; le National Physical Laboratory, UK et le Joint Recherche Centre, Petten
Table des matières
Preface, Acknowledgement, Le flow Curve, Introduction, Equations to le Flow Curve, Uni-Axial Tension, Uni-Axial Compression, Modified Compression Tests, Torsion Test, Bending Test, Bulge Test, Derivation de Equivalent Stress et Strain, Hardening Hypotheses, Reversed Yielding, Concluding Remarks, References, Exercises; Elasticity, Introduction, elastic constants, Stress et Strain Tensors, Elastic constitutive Relations, Plane Cartesian Elasticity, Anisotropic Elasticity, Elasticity de Fibrous Composites, Non-Linear Elasticity, Concluding Remarks, References, Exercises; Yield et Strength Criteria Introduction, Yielding de Ductile Isotropic Metals, Directionally-Dependent, Uniaxial Strength Criteria, Derictionally-Dependent, Plane Strength Criteria, Three-Dimensional Strength Criteria, Plane, Principal Strength Criteria, Tensor functions de Failure, Invariant formulation, Polynomial Invariant Functions, Flow Rules, Concluding Remarks, References, Exercises; Subsequent Yielding Introduction, Conditions For a Yield Surface, Le Minimum Surface, Isotropic Hardening Rule, Expérimental Behaviour, Limitations de Isotopic Hardening, Micro-Models de Subsequent Yielding, Concluding Remarks, References, Exercise; Classical Plasticity Théorie Introduction, Prandtl-Reuss Flow Théorie, Expérimental confirmations de le Flow Théorie, Hencky Deformation Théorie, Extended Hencky Théorie, Residual Stress Distributions, Bauschinger Effect, Concluding Remarks, References, Exercise; Anisotropic Hardening, Introduction, Linear Kinematic Hardening, Non-Linear Kinematic Hardening, Combined Hardening en Stress Space, Combined hardening en Strain Space, Anisotropic Hardening Théorie, Distortion de le Yield Surface, Concluding Remarks, References, Exercises; Multi-Surface Plasticity, Introduction, Loading et Limit Surfaces, Fields de Plastic Tangent Moduli, Surfaces de Equivalent Plastic Strain, Concluding Remarks, References, Exercise; Creep de Metals, Introduction, Le Creep Curve, Descriptions de Creep Curves, Uniaxial Creep Correlations, Application de State Equations, Effects de Plastic Pre-Strain, Recovery et Anelasticity, Multi-Axial Creep, Concluding Remarks, References, Exercise; Cyclic Creep-Fatigue, Introduction, Cyclic Behaviour, Loop Terminology, Creep Dwell, Low-Cycle Fatigue (LFC), Cycle time et Histoire, Life-Fraction rule, Damage Integrals, Strian-Fraction Rule, Strain Range Partitioning, Continuous Damage, Damage Rate Equations (DRE), Further Damage Equations, Concluding Remarks, References, Exercises; Viscoelasticity, Introduction, Maxwell et Kelvin Models, Standard Linear solids (SLS), Other Rheological Models, Boltzman’s Superposition Principle (1876), Multi-Axial formulations, Empirical Méthodes, Stepped Loadings, Hysteresis en Polymers, Conception Données, Concluding Remarks, References, Bibliography, Exercises; Viscoplasticity, Introduction, Observed Rate Effects, Theories de Rate-Dependent Deformation, Quasi-Dynamic Viscoplasticity, Isotropic Viscoplasticity, Anisotropic Viscoplasticity, Strain-Space formulations, Comparison Between Theories, Internal State Parameters, Concluding Remarks, References, Bibliography, Exercises; Finite Deformation, Introduction, Finite Stress Definitions, Finite Strain Measures, Finite Elasto-Plasticity, Constitutive Relations, Yield Function et flow rule, Concluding Remarks, References, Bibliography, Exercises; Sheet Metal Formability, Introduction, Sheet Anistoropy, Yield Criteria, Formability, Le Forming Limit Diagram, Pressure Forming, Predictions to le FLD, FE Simulations, Concluding Remakrs, Refernces, Exercises, Appendix, Properties de Matrices, Le Formation de a Matrix, Matrix Types, Transpose de a Matrix, Matrix Addition et Subtraction, Matrix Multiplication, Le Inverse de Matrix, Matrix Operations, Le Rotation Matrix, Vector et Tensor Transformations, Pre-and Post- Multiplication, Powers de a Matrix, Characteristic Equation, References, Exercise, Answers to Selected Exercises, Index