Ebook: Finite Inelastic Deformations — Theory and Applications: IUTAM Symposium Hannover, Germany 1991

The IUTAM-Symposium on "Finite Inelastic Deformations - Theory and Applications" took place from August 19 to 23, 1991, at the University of Hannover, Germany, with 75 participants from 14 countries. Scope of the symposium was a fundamental treatment of new developments in plasticity and visco-plasticity at finite strains. This covered the phenomenological material theory based on continuum mechanics as well as the treatment of microstructural phenomena detected by precise experimental datas. In a restricted number, lectures on new experi­ mental facilities for measuring finite strains were also implemented into the symposium. Another important topic of the symposium was the treatment of reliable and effective computational methods for solving engineering problems with finite inelastic strains. Wi­ thin this context it was an essential feature that theory, numerical and computational analysis were be seen in an integrated way. In total 9 sessions with 37 lectures, many of them given by well known keynote-lecturers, and a poster session with 10 contributions met fully our expectations of a high ranking up-to-date forum for the interaction of four topics, namely the physical and mathematical modelling of finite strain inelastic deformations including localizations and damage as well as the achievements in the numerical analysis and implementation and the solution of complicated engineering systems. Special and important features were reliable material datas from macroscopic and microscopic tests as well as test results of complex engineering problems, like deep drawing and extrusion.

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The book provides a fundamental treatment of new developments in plasticity and visco-plasticity at finite strains. This covers the phenomenological material theory based on continuum mechanics and thermodynamics as well as the treatment of microstructural phenomena detected by precise experimental data, the rigorous and effective numerical methods and finally important applications. The reader will get a fresh insight in current research areas associated with the phenomenological material theory and computational nonlinear mechanics.

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The book provides a fundamental treatment of new developments in plasticity and visco-plasticity at finite strains. This covers the phenomenological material theory based on continuum mechanics and thermodynamics as well as the treatment of microstructural phenomena detected by precise experimental data, the rigorous and effective numerical methods and finally important applications. The reader will get a fresh insight in current research areas associated with the phenomenological material theory and computational nonlinear mechanics.
Content:
Front Matter....Pages I-XVII
Front Matter....Pages 1-1
Elastic-Viscoplastic Analysis of Ductile Fracture....Pages 3-14
On the Stability of Finite Plastic Deformations....Pages 15-25
On Constitutive Spins at Large Inelastic Deformations....Pages 27-36
Comparison of Two Constitutive Models with One- and Multiaxial Experiments....Pages 37-46
A Continuum Damage Model for the Description of High Strain Rate Deformations....Pages 47-56
Asymptotic Analysis and Numerical Simulation of Deformation Processing of Porous Metals....Pages 57-66
Large Dynamic Deflections of Elastic-Plastic Structures Including Material Damage due to Void Growth....Pages 67-80
A Methodology for Formulating Large Strain Viscoplastic Constitutive Equations with Application to Simple Shear....Pages 81-91
An Unified Approach to Modelling and Numerical Solution of Coupled Field Problems in Nonlinear Solid Mechanics....Pages 93-106
On the Thermodynamics of Rate-Independent Plasticity as an Asymptotic Limit of Viscoplasticity for Slow Processes....Pages 107-116
Incremental Evolution of Anisotropic Hardening....Pages 117-124
A New Constitutive Formulation for Finite Elastoplastic Deformation....Pages 125-134
The Influence of Texture Development on the Plastic Behaviour of Polycrystals....Pages 135-144
Elastic Invariants for Crystal Defects: A Comparison with Classical Continuum Theory of Dislocations....Pages 145-154
Analysis of the Influence of Non-Schmid and Thermal Effects on Adiabatic Shear Band Localization in Elastic-Plastic Single Crystals....Pages 155-165
Physical and Theoretical Aspects of Large Plastic Deformations Involving Shear Banding....Pages 167-178
Shear Localization in Thermo-Elasto-Viscoplastic Plane Strain Blocks....Pages 179-188
On Stability of Time-Independent Materials at Finite Strain....Pages 189-196
Extension of Anisotropic Hardening Elastic-Plastic Theory to Finite Strains based on Visco-Elastic Finite Strain Theory....Pages 197-205
A Formulation of Anisotropic Plasticity at Large Strains....Pages 207-216
Front Matter....Pages 1-1
The Intrinsic Lagrangian Metric and Stress Variables....Pages 217-226
Constitutive Equation and Mixed Variational Principle of Hyperelasticity Using Rotationless Strain....Pages 227-236
Front Matter....Pages 237-237
State Updates and State-Transfer Operators in Computational Plasticity....Pages 239-258
Recent Advances in the Numerical Analysis and Simulation of Thermoplasticity at Finite Strains....Pages 259-272
Adaptive Finite Element Methods for Small Strain Elasto-Plasticity....Pages 273-288
A Numerical Method for Solution of Nonsteady Elastoviscoplastic Problems at Large Strains....Pages 289-298
A Model for Large Deformations of Elasto-Viscoplastic Solids at Finite Strain: Computational Issues....Pages 299-312
Finite Deformation Analysis of Inelastic Materials with Micro-Structure....Pages 313-322
Localization Analysis in Finite Deformation Elasto-Plasticity....Pages 323-332
On the Treatment of Contact Contraints within Coupled Thermomechanical Analysis....Pages 333-347
On Solving Problems of Advanced Plastic Flow....Pages 349-361
Modelling and Computation of Finite Viscoplastic Strains....Pages 363-372
Finite Inelastic Deformations of Three-Dimensional Shells with Applications to Sheet Metal Forming Processes....Pages 373-387
3D Finite Element Analysis of Thermomechanical Processes. Application to Forging and Casting....Pages 389-398
A Discussion of the Mechanics of Superplastic Forming....Pages 399-410
A Quasi-Dynamic Approach to the Analysis of Sheet Metal Forming....Pages 411-421
Shell Finite Element for Deep Drawing Problems: Computational Aspects and Results....Pages 423-430
Stress Localization and Deformations of Surface Asperities in Metal Forming....Pages 431-438
Nonlinear Boundary Element Analysis for Elasto-Plastic Problem....Pages 439-447
Rigid-Plastic Finite Element Simulator with Adaptive Element Control for Practical Forging Processes....Pages 449-458
Front Matter....Pages 237-237
A Boundary/Interior Element Discretization Method for the Analysis of Two- and Three-Dimensional Elastic-Plastic Structures....Pages 459-468
Front Matter....Pages 469-469
On the Application of Plasticity Theory for Developing Metal Forming and Testing Processes....Pages 471-482
The Thick-Walled Tube Under Internal Pressure. An Exact Solution for Plain Strain....Pages 483-492
Optimization Techniques for Numerical Identification of Forging Parameters....Pages 493-502
Development of an Element for the Three Dimensional Finite Element Simulation of Sheet Metal Forming Processes....Pages 503-509
Determination of Nonassociated Constitutive Equation for Rock Salt from Experiments....Pages 511-523
True Triaxial Failure Tests on Cubic Rock Salt Samples. Experimental Methods and Results....Pages 525-536
Finite Elastic-Plastic Deformations and Shakedown Analysis of Bellows....Pages 537-546
Termination of Process of Finite Plastic Deformations in Disks under Combined Loadings....Pages 547-556

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The book provides a fundamental treatment of new developments in plasticity and visco-plasticity at finite strains. This covers the phenomenological material theory based on continuum mechanics and thermodynamics as well as the treatment of microstructural phenomena detected by precise experimental data, the rigorous and effective numerical methods and finally important applications. The reader will get a fresh insight in current research areas associated with the phenomenological material theory and computational nonlinear mechanics.
Content:
Front Matter....Pages I-XVII
Front Matter....Pages 1-1
Elastic-Viscoplastic Analysis of Ductile Fracture....Pages 3-14
On the Stability of Finite Plastic Deformations....Pages 15-25
On Constitutive Spins at Large Inelastic Deformations....Pages 27-36
Comparison of Two Constitutive Models with One- and Multiaxial Experiments....Pages 37-46
A Continuum Damage Model for the Description of High Strain Rate Deformations....Pages 47-56
Asymptotic Analysis and Numerical Simulation of Deformation Processing of Porous Metals....Pages 57-66
Large Dynamic Deflections of Elastic-Plastic Structures Including Material Damage due to Void Growth....Pages 67-80
A Methodology for Formulating Large Strain Viscoplastic Constitutive Equations with Application to Simple Shear....Pages 81-91
An Unified Approach to Modelling and Numerical Solution of Coupled Field Problems in Nonlinear Solid Mechanics....Pages 93-106
On the Thermodynamics of Rate-Independent Plasticity as an Asymptotic Limit of Viscoplasticity for Slow Processes....Pages 107-116
Incremental Evolution of Anisotropic Hardening....Pages 117-124
A New Constitutive Formulation for Finite Elastoplastic Deformation....Pages 125-134
The Influence of Texture Development on the Plastic Behaviour of Polycrystals....Pages 135-144
Elastic Invariants for Crystal Defects: A Comparison with Classical Continuum Theory of Dislocations....Pages 145-154
Analysis of the Influence of Non-Schmid and Thermal Effects on Adiabatic Shear Band Localization in Elastic-Plastic Single Crystals....Pages 155-165
Physical and Theoretical Aspects of Large Plastic Deformations Involving Shear Banding....Pages 167-178
Shear Localization in Thermo-Elasto-Viscoplastic Plane Strain Blocks....Pages 179-188
On Stability of Time-Independent Materials at Finite Strain....Pages 189-196
Extension of Anisotropic Hardening Elastic-Plastic Theory to Finite Strains based on Visco-Elastic Finite Strain Theory....Pages 197-205
A Formulation of Anisotropic Plasticity at Large Strains....Pages 207-216
Front Matter....Pages 1-1
The Intrinsic Lagrangian Metric and Stress Variables....Pages 217-226
Constitutive Equation and Mixed Variational Principle of Hyperelasticity Using Rotationless Strain....Pages 227-236
Front Matter....Pages 237-237
State Updates and State-Transfer Operators in Computational Plasticity....Pages 239-258
Recent Advances in the Numerical Analysis and Simulation of Thermoplasticity at Finite Strains....Pages 259-272
Adaptive Finite Element Methods for Small Strain Elasto-Plasticity....Pages 273-288
A Numerical Method for Solution of Nonsteady Elastoviscoplastic Problems at Large Strains....Pages 289-298
A Model for Large Deformations of Elasto-Viscoplastic Solids at Finite Strain: Computational Issues....Pages 299-312
Finite Deformation Analysis of Inelastic Materials with Micro-Structure....Pages 313-322
Localization Analysis in Finite Deformation Elasto-Plasticity....Pages 323-332
On the Treatment of Contact Contraints within Coupled Thermomechanical Analysis....Pages 333-347
On Solving Problems of Advanced Plastic Flow....Pages 349-361
Modelling and Computation of Finite Viscoplastic Strains....Pages 363-372
Finite Inelastic Deformations of Three-Dimensional Shells with Applications to Sheet Metal Forming Processes....Pages 373-387
3D Finite Element Analysis of Thermomechanical Processes. Application to Forging and Casting....Pages 389-398
A Discussion of the Mechanics of Superplastic Forming....Pages 399-410
A Quasi-Dynamic Approach to the Analysis of Sheet Metal Forming....Pages 411-421
Shell Finite Element for Deep Drawing Problems: Computational Aspects and Results....Pages 423-430
Stress Localization and Deformations of Surface Asperities in Metal Forming....Pages 431-438
Nonlinear Boundary Element Analysis for Elasto-Plastic Problem....Pages 439-447
Rigid-Plastic Finite Element Simulator with Adaptive Element Control for Practical Forging Processes....Pages 449-458
Front Matter....Pages 237-237
A Boundary/Interior Element Discretization Method for the Analysis of Two- and Three-Dimensional Elastic-Plastic Structures....Pages 459-468
Front Matter....Pages 469-469
On the Application of Plasticity Theory for Developing Metal Forming and Testing Processes....Pages 471-482
The Thick-Walled Tube Under Internal Pressure. An Exact Solution for Plain Strain....Pages 483-492
Optimization Techniques for Numerical Identification of Forging Parameters....Pages 493-502
Development of an Element for the Three Dimensional Finite Element Simulation of Sheet Metal Forming Processes....Pages 503-509
Determination of Nonassociated Constitutive Equation for Rock Salt from Experiments....Pages 511-523
True Triaxial Failure Tests on Cubic Rock Salt Samples. Experimental Methods and Results....Pages 525-536
Finite Elastic-Plastic Deformations and Shakedown Analysis of Bellows....Pages 537-546
Termination of Process of Finite Plastic Deformations in Disks under Combined Loadings....Pages 547-556
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