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Mechanics of Deformable Solids

Author Name : Davis W A Rees


  • Publisher : Studium Press LLC
  • Edition : 1st
  • ISBN 10 : 1-933699-62-0
  • Page no : 861
  • Publication Year : 2012

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  • Description
  • Table Of Content
  • Reviews
This text covers the more recent developments in the field of engineering solid mechanics. Many investigations have been reported in journals on a wider-ranging mechanical behaviour of solids under stress than is included in standard texts. The latter often lack the more fundamental material on the deformation behaviour observed under conditions of anisotropic elasticity, viscoelasticity, plasticity, creep, fatigue and 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 with the essential mechanics of these phenomena. It brings together theory, experimental data, references, examples and exercises, relating to the important advances in the subject, both old and new. The presentation of material in this way anticipates that it will become established undergraduate/postgraduate course material in future. The topics presented marry the established theory with more recent developments citing their sources, often with this author's appraisals, based upon available experimental data. The work is intended to provide, within its 13 chapters, a modern reference work for those studying, teaching and researching the mechanics of deforming solids. It has been compiled from many of the key publications that have advanced the subject over the last Century. The arrangement of the theoretical subject matter follows a logical progression. isotropic and anisotropic elasticity, elastic-perfect plasticity, plasticity with hardening, time-dependence, rate- and history-effects and cyclic behaviour. A student could spend much time searching the literature for an appropriate description. The likely result is that he may find himself in a dilema when his search for a theory reveals a number of alternatives. His view may be prejudiced by whatever approach he first becomes acquainted with. This book recognises that there are many alternative models for describing inelastic behaviour of metallic materials under load. The objective has been to present a balanced review of theoretical developments placing the emphasis upon clear exposition and comparison with experimental data. Dr. David W. A. Rees, D.Sc. is with the School of Engineering and Design at Brunel University, U.K. He is the author of five previous books on solid mechanics, structures, engineering plasticity and optimum structural design. This present book is the culmination of his many years of theoretical and experimental research into the manner in which solids deform under load. Reporting and modelling the diverse and often complex responses that appear across a wide range of engineering materials has played a large part in his authorship of over a hundred research publications. This effort has at earlier times been affiliated to Kingston and Surrey Universities, UK. Trinity College, Dublin. the National Physical Laboratory, UK and the Joint Research Centre, Petten
Title Mechanics of Deformable Solids
Table of Content Preface, Acknowledgement, The flow Curve, Introduction, Equations to the Flow Curve, Uni-Axial Tension, Uni-Axial Compression, Modified Compression Tests, Torsion Test, Bending Test, Bulge Test, Derivation of Equivalent Stress and Strain, Hardening Hypotheses, Reversed Yielding, Concluding Remarks, References, Exercises. Elasticity, Introduction, elastic constants, Stress and Strain Tensors, Elastic constitutive Relations, Plane Cartesian Elasticity, Anisotropic Elasticity, Elasticity of Fibrous Composites, Non-Linear Elasticity, Concluding Remarks, References, Exercises. Yield and Strength Criteria Introduction, Yielding of Ductile Isotropic Metals, Directionally-Dependent, Uniaxial Strength Criteria, Derictionally-Dependent, Plane Strength Criteria, Three-Dimensional Strength Criteria, Plane, Principal Strength Criteria, Tensor functions of Failure, Invariant formulation, Polynomial Invariant Functions, Flow Rules, Concluding Remarks, References, Exercises. Subsequent Yielding Introduction, Conditions For a Yield Surface, The Minimum Surface, Isotropic Hardening Rule, Experimental Behaviour, Limitations of Isotopic Hardening, Micro-Models of Subsequent Yielding, Concluding Remarks, References, Exercise. Classical Plasticity Theory Introduction, Prandtl-Reuss Flow Theory, Experimental confirmations of the Flow Theory, Hencky Deformation Theory, Extended Hencky Theory, Residual Stress Distributions, Bauschinger Effect, Concluding Remarks, References, Exercise. Anisotropic Hardening, Introduction, Linear Kinematic Hardening, Non-Linear Kinematic Hardening, Combined Hardening in Stress Space, Combined hardening in Strain Space, Anisotropic Hardening Theory, Distortion of the Yield Surface, Concluding Remarks, References, Exercises. Multi-Surface Plasticity, Introduction, Loading and Limit Surfaces, Fields of Plastic Tangent Moduli, Surfaces of Equivalent Plastic Strain, Concluding Remarks, References, Exercise. Creep of Metals, Introduction, The Creep Curve, Descriptions of Creep Curves, Uniaxial Creep Correlations, Application of State Equations, Effects of Plastic Pre-Strain, Recovery and Anelasticity, Multi-Axial Creep, Concluding Remarks, References, Exercise. Cyclic Creep-Fatigue, Introduction, Cyclic Behaviour, Loop Terminology, Creep Dwell, Low-Cycle Fatigue (LFC), Cycle time and History, 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 and Kelvin Models, Standard Linear solids (SLS), Other Rheological Models, Boltzman’s Superposition Principle (1876), Multi-Axial formulations, Empirical Methods, Stepped Loadings, Hysteresis in Polymers, Design Data, Concluding Remarks, References, Bibliography, Exercises. Viscoplasticity, Introduction, Observed Rate Effects, Theories of 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 and flow rule, Concluding Remarks, References, Bibliography, Exercises. Sheet Metal Formability, Introduction, Sheet Anistoropy, Yield Criteria, Formability, The Forming Limit Diagram, Pressure Forming, Predictions to the FLD, FE Simulations, Concluding Remakrs, Refernces, Exercises, Appendix, Properties of Matrices, The Formation of a Matrix, Matrix Types, Transpose of a Matrix, Matrix Addition and Subtraction, Matrix Multiplication, The Inverse of Matrix, Matrix Operations, The Rotation Matrix, Vector and Tensor Transformations, Pre-and Post- Multiplication, Powers of a Matrix, Characteristic Equation, References, Exercise, Answers to Selected Exercises, Index
Page No. 861
Author's Name Davis W A Rees
Publisher Studium Press LLC
Year Of Publication 2012
ISBN 10 1-933699-62-0
ISBN 13 No
About The Book No
Binding type No
Book Size(len) No
Series No
book size(hei) 9.8
Book size width 6.5
Edition 1st

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