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Material Instabilities in Solids [Kõva köide]

Edited by (Delft University of Technology, The Netherlands), Edited by (Delft University of Technology, The Netherlands)
  • Formaat: Hardback, 580 pages, kõrgus x laius x paksus: 253x177x36 mm, kaal: 1162 g
  • Ilmumisaeg: 11-Aug-1998
  • Kirjastus: John Wiley & Sons Inc
  • ISBN-10: 0471974609
  • ISBN-13: 9780471974604
Teised raamatud teemal:
  • Formaat: Hardback, 580 pages, kõrgus x laius x paksus: 253x177x36 mm, kaal: 1162 g
  • Ilmumisaeg: 11-Aug-1998
  • Kirjastus: John Wiley & Sons Inc
  • ISBN-10: 0471974609
  • ISBN-13: 9780471974604
Teised raamatud teemal:
Generated from presentations and discussions at a June 1997 symposium in Delft, the Netherlands, 33 papers consider technical aspects of instabilities in such solids as metals, polymers, rock, soils, and concrete. They cover classical bifurcation theory, experiments and physical mechanisms, and localization with and without internal length scales, juxtaposing very different material systems in each area in order to highlight similarities and the differences. Among the specific topics are analyzing shear failure in concrete materials, instability issues in single-crystal plasticity, localization patterns in ductile and brittle geomaterials, strain localization and void growth in polymers, and a non-affine network model for glassy polymers and predicting instability propagation. Annotation c. by Book News, Inc., Portland, Or.

Modern, powerful computational methods, combined with major improvements in experimental techniques, have resulted in significant advances in the study of material instabilities. This book presents the latest research in the field of material instabilities in solid materials (soils, concrete, rocks, ceramics, metals, polymers and composites) and associated phenomena, such as strain localisation, fracture and failure in general. Collected within this volume are the cutting edge contributions from the prestigious IUTAM Symposium of 1997. A broad spectrum of materials is covered, with the emphasis on common aspects of failure, and a full range of experimental, analytical and numerical methods are addressed. In addition, the state-of-the-art, and recent advances covered in the book are summarised in the introductory chapter. No other treatise is available which is so up to date and compiled by such a broad spectrum of leading researchers. This book will find a wide appeal amongst practising engineers, researchers and students in civil, mechanical and aerospace engineering, and researchers and students in materials science.
Preface xiii(2) List of Contributors xv 1 Introduction to Material Instabilities in Solids 1(14) E. vander Giessen R. de Borst 1.1 General introduction 1(5) 1.2 Classical Bifurcation Theory 6(1) 1.3 Experiments and Physical Mechanisms 7(1) 1.4 Localization Without Internal Length Scales 8(2) 1.5 Localization With Internal Length Scales 10(3) References 13(2) 2 Stability of Layered Geological Structures: An Asymptotic Solution 15(12) Y.M. Leroy N. Triantafyllidis 2.1 Introduction 15(1) 2.2 Model Problems and Variational Formulation 16(3) 2.3 Asymptotic Solution 19(6) References 25(2) 3 Analysis of Shear Failure in Concrete Materials 27(14) K. William H. Kang B. Shing E. Spacone 3.1 Introduction 27(1) 3.2 Triaxial Concrete Model 28(3) 3.3 Failure Modes of Concrete Model 31(2) 3.4 Failure of Triaxial Concrete Model 33(5) 3.5 Concluding Remarks 38(1) Acknowledgements 39(1) References 39(2) 4 On the Effects of Intertial Coupling on the Wave-Speeds of Elastic-Plastic Fluid-Saturated Porous Media 41(14) B. Loret E. Rizzi 4.1 Introduction 41(1) 4.2 Equations of Motion 42(2) 4.3 Consecutive Equations 44(3) 4.4 Wave-Speeds 47(4) Acknowledgements 51(1) References 51(1) Appendix A 52(3) 5 Microstructured Solids: Non-Linear Model and Analysis of Magneto-Elastic Wave Processes 55(10) V. Erofeyeu S. Kovalev 5.1 Introduction 55(1) 5.2 Non-Linear Magnetic-Elastic Equations 55(1) 5.3 Plain Longitudinal Waves 56(5) 5.4 Plain Shear Waves 61(3) Acknowledgement 64(1) References 64(1) 6 Thermodynamics of Crystal Viscoplasticity and Instability Phenomena 65(26) P. Perzyna 6.1 Introduction 66(1) 6.2 Experimental and Physical Motivations 67(1) 6.3 Thermodynamic Constitutive Structures of Inelastic Single Crystals 68(5) 6.4 Rate Independent Response of Single Crystals 73(1) 6.5 Adiabatic Process 74(4) 6.6 Macroscopic Adiabatic Shear Band Formation 78(4) 6.7 Discussion of the Synergetic Effects and Comparison with Experimental 82(4) 6.8 Observations 86(1) Final Comments 87(1) Acknowledgement 87(4) References 7 Instability Issues in Single Crystal Plasticity 91(16) P. Steinmann 7.1 Introduction 91(1) 7.2 Multisurface Plasticity Framework 92(2) 7.3 Multisurface Localization Analysis 94(3) 7.4 Non Schmic Single Crystal Plasticity 97(3) 7.5 Planar Localization Analysis 100(2) 7.6 Model Adaptive Strategy 102(2) 7.7 Summary and Conclusion 104(1) References 105(2) 8 On the Use of Strain-Softening Models for the Simulation of Strong Discontinuities in Solids 107(18) J. Oliver M. Cervera O. Manzoli 8.1 Strain Softening, Strain Localization and Displacement Discontinuities 107(3) 8.2 The Strong Discontinuity Approach 110(3) 8.3 Generalization to 2D Problems 113(8) 8.4 Representative Numerical Simulation 121(1) 8.5 Concluding Remarks 121(2) References 123(2) 9 Thermomechanics Based Theory and Analysis of Cracking Localization in Concrete Dam under Earthquake Excitation 125(12) H. Horii J. Inoue M. Brocca 9.1 Introduction 126(1) 9.2 Localization in Simple Spring-Crack Element Models 127(3) 9.3 General Theory 130(2) 9.4 FEM Analysis of Cracking Localization 132(4) 9.5 Concluding Remarks 136(1) References 136(1) 10 Localisation Patterns in Ductile and Brittle Geomaterials 137(22) J. Desrues Introduction 137(2) 10.1 Shear Bands in Field Cases and Laboratory Tests 139(1) 10.2 Localisation in Granular Bodies 140(8) 10.3 Localisation in Cohesive Geomaterials 148(5) Conclusion 153(3) References 156(3) 11 In-Plane Crushing of a Polymeric Honeycomb 159(26) S.D. Papka S. Kyriakides 11.1 Introduction 159(1) 11.2 Uniaxial Crushing Experiments 160(5) 11.3 Analysis of Uniaxial Crushing 165(6) 11.4 Biaxial Crushing of Honeycomb 171(11) Acknowledgements 182(1) References 182(3) 12 Experimental and Numerical Investigation of Size Scale Effects in Concrete Fracture 185(22) M.R.A. van Vliet J.G.M. van Mier 12.1 Introduction 185(4) 12.2 New Size Effect Tests 189(6) 12.3 Preliminary Experimental Results 195(1) 12.4 Numerical Littice Model 196(8) 12.5 Results and Conclusion 204(1) Acknowledgements 205(1) References 205(2) 13 Post-Peak Behaviour of Rocks and Natural Building Stones in Unixial Compression 207(20) I. Vardoulakis S. Kourkoulis A. Skjaerstein 13.1 Introduction 207(2) 13.2 The Compression Test in the Post-Peak Regime 209(4) 13.3 Post-Peak Stress Diffusion Theory 213(7) 13.4 Experimental Results and Discussion 220(6) 13.5 Conclusions 226(1) Acknowledgements 226(1) References 226(1) 14 Inelastic Deformation of F.C.C. Single Crystals by Slip and Twinning 227(16) A. Staroselsky L. Anand 14.1 Introduction 228(1) 14.2 Constitutive Equations 228(4) 14.3 Plane-Strain Deformation of F.C.C. Co-8 percentage Fe Single Crystals 230(5) 14.4 Concluding Remarks 237(1) Acknowledgements 238(1) References 238(2) Appendix 240(3) 15 Effects of Strain Paths on Sheet Metal Limit Strains 243(12) P.D. Wu K.W. Neale E. van der Giessen 15.1 Introduction 243(1) 15.2 Constitutive Equations 244(1) 15.3 Problem Formulation and Method of Solution 245(3) 15.4 Results 248(4) 15.5 Conclusions 252(1) Acknowledgements 253(1) References 253(2) 16 Three-Dimensional Analysis of Localized Necking 255(14) A. Benallal 16.1 Introduction 255(2) 16.2 Constitutive Equations 257(1) 16.3 Field Equations and Boundary Conditions 258(1) 16.4 Bifurcation Versus Perturbation Approach 259(1) 16.5 Local 3D Analysis of the Deformation of the Sheet 260(5) 16.6 Plane Stress Analysis 265(2) 16.7 Concluding Remarks 267(1) Acknowledgements 267(1) References 267(2) 17 Effects of Heterogeneties and Localization on Polymer Deformation and Recovery 269(18) M.C. Boyce C. Chui 17.1 Introduction 269(3) 17.2 Model Description 272(6) 17.3 Simulation Results 278(6) 17.4 Concluding Remarks 284(1) Acknowledgements 284(1) References 284(3) 18 Strain Localization and Void Growth in Polymers 287(16) A.C. Steenbrink E. vander Giessen 18.1 Introduction 287(1) 18.2 Material Model 288(2) 18.3 Localization and Shear Band Propagation 290(2) 18.4 Numerical Model 292(1) 18.5 Results 292(8) 18.6 Discussion 300(1) References 301(2) 19 Nonaffine Network Model for Glassy Polymer and Prediction of Instability Propagation 303(20) Y. Tomita T. Adachi 19.1 Introduction 303(1) 19.2 Constitutive Equation 304(4) 19.3 Identification of Deformation of Materials Parameters and Uniform 308(2) 19.4 Deformation 310(8) 19.5 Computational Prediction of Instability Propagation 318(2) Conclusion 320(1) Acknowledgements 320(3) References 320(3) 20 Damage Localisation in Short Fibre Cementitious Composites 323(16) B.L. Karihaloo J. Wang 20.1 Introduction 323(2) 20.2 Problem Formulation and Mathematical Solution 325(3) 20.3 Perturbation in Crack Lengths 328(6) 20.4 Perturbation in Bridging Stiffnesses 334(1) 20.5 Conclusion 335(2) Acknowledgements 337(1) References 337(2) 21 Fracture Instabilities in Heterogeneous Materials: Brittleness, Size Effects and Fractality 339(16) A. Carpinteri 21.1 Introduction 340(1) 21.2 Size Effects in Structural Brittleness 340(8) 21.3 Size Effects on Materials Strength and Toughness 348(4) 21.4 Acknowledgements 352(1) References 353(2) 22 Compression Fracture-Mechanics of Damage Localization and Size Effect 355(14) Z.P. Bazant 22.1 Introduction 355(1) 22.2 Mechanism of Size Effect 356(4) 22.3 Lack of Size in Axial Splitting 360(1) 22.4 Size Effect for the Case of Many Independent Loads 361(1) 22.5 Asymptotic Scaling for Tensile or Compressive Cracks with Residual Cohesive 362(1) 22.6 Stress 363(1) The Questions of Size Effect on Kint Band Failure of Composities 363(1) Acknowledgements 364(5) References 23 Nonlinear Modelling of Geomaterials and Self-Organization Phenomena 369(18) V.N. Nikolaevskiy 23.1 Abstract 369(1) 23.2 Soils and Fragmented Rocks with Internal Oscillators 369(2) 23.3 Interpenetrating Continua for Saturated Geomaterials 371(3) 23.4 Dynamics of Geomaterials with Microstructure 374(5) 23.5 Sine-Gordon Equation for Rotation Waves in Fragmented Rocks 379(6) References 385(2) 24 Quasi-Static and Dynamic Characteristics of Strain Gradient Dependent Non-Local Constitutive Models 387(18) F. Oka H.B. Muhlhaus A. Yashima K. Sawada 24.1 Introduction 387(1) 24.2 Gradient Dependent Elastic Model 388(5) 24.3 Gradient Dependent Viscoplastic Model 393(10) 24.4 Conclusions 403(1) References 403(2) 25 Higher-Order Damage Models for the Analysis of Fracture in Quasi-Brittle Materials 405(20) M.G.D. Geers R.H.J. Peerlings R.de Borst W.A.M. Brekelmans 25.1 Introduction 405(2) 25.2 Numerical Models 407(2) 25.3 Applications 409(12) 25.4 Conclusions 421(1) References 422(3) 26 On Gradient Regulatization for Numerical Analyses in the Presence of Damage 425(16) C. Comi L. Driemeier 26.1 Introduction 425(1) 26.2 Gradient-Dependent Damage Models 426(1) 26.3 One Dimensional Wave Propagation 427(3) 26.4 Finite-Step Boundary Value Problems 430(3) 26.5 Generalized Variables Finite-Element Formulation 433(2) 26.6 Numerical Tests 435(4) 26.7 Conclusions 439(1) Acknowledgements 439(1) References 440(1) 27 Localisation of Damage in Quasi-Brittle Materials and Influence of Chemically Activated Damage 441(16) G. Pijaudier-Cabot B. Gerard B. Gerard N. Burlion L. Molez 27.1 Introduction 441(1) 27.2 Model Description 442(5) 27.3 One-Dimensional Analysis of Strain Localisation 447(2) 27.4 Numerical Simulations 449(2) 27.5 Gradient Damage Model 451(4) 27.6 Closure 455(1) Acknowledgement 455(1) References 455(2) 28 Nonlocal Damage Effects on Plastic Flow Localization under Dynamic Loading 457(16) V. Tvergaard A. Needleman 28.1 Introduction 457(2) 28.2 Material Model 461(2) 28.3 Numerical Model for the Nothced Bar 463(5) 28.4 Results 463(1) 28.5 Concluding Remarks 468(1) Acknowledgements 469(1) References 469(4) 29 Instabilities and Size Effects in Plasticity: Continuum and Dislocation Approaches 473(16) H.M. Zbib 29.1 Introduction 473(2) 29.2 Basic Relationship for Elastic-Plastic Deformation 475(1) 29.3 Strain Gradient Plasticity 476(6) 29.4 Three-Dimensional Dislocation Model 482(4) 29.5 Concluding Remarks 486(1) Acknowledgements 486(1) References 486(3) 30 Macroscopic Modelling of Stationary and Propagative Instabilities 489(18) L.J. Sluys W.M. Wang 30.1 Introduction 489(1) 30.2 A Classification of Macroscopic Instabilities 490(1) 30.3 Constitutive Modelling 491(3) 30.4 Algorithmic Aspects 494(5) 30.5 Numerical Examples 499(6) References 505(2) 31 A Discussion of Strain Gradient Plasticity Theories and Applications to Shear Bands 507(14) N.A. Fleck J.W. Hutchinson 31.1 Introduction 507(1) 31.2 Review of Fleck-Hutchinson Strain Gradient Theory 508(4) 31.3 Study of Shear Localisation using Fleck-Hutchinson Non-Linear Deformation Theory 512(3) 31.4 The Role of Imperfections in Shear Localisation according to the Fleck-Hutchinson Deformation Theory 515(4) Acknowledgements 519(1) References 519(2) 32 A Beam Theory for Gradient Continua 521(12) H.B. Muhlhaus P. Hornby 32.1 Introduction 521(3) 32.2 Field Equations 524(2) 32.3 Constitutive Relations 526(1) 32.4 Example 527(4) 32.5 Conclusion 531(1) References 532(1) 33 Recent Progress on Gradient Theory and Applications 533(16) E.C. Aifantis 33.1 Introduction 533(3) 33.2 Gradient-Dependent Flow Stress Macroscopic Shear Bands 536(1) 33.3 Gradient-Dependent Dislocation Dynamics and MD Patterning 537(1) 33.4 Gradient Interpretation of Size Effects 538(3) 33.5 Gradient Elasticity Solutions for Cracks and Dislocations 541(2) 33.6 Size-Dependent Hardness 543(1) 33.7 Forming Limit Diagrams (FLADs) 544(1) Acknowledgements 545(1) References 545(4) Index 549
René de Borst is a Dutch civil engineer who is known for his work on computational mechanics and fracture mechanics. Since January 2016 he is the Centenary Professor of Civil Engineering at the University of Sheffield.

Erik van der Giessen is the editor of Material Instabilities in Solids, published by Wiley.