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The Resource Analysis and Computation of Microstructure in Finite Plasticity

Analysis and Computation of Microstructure in Finite Plasticity

Label
Analysis and Computation of Microstructure in Finite Plasticity
Title
Analysis and Computation of Microstructure in Finite Plasticity
Creator
Contributor
Subject
Language
eng
Summary
This book addresses the need for a fundamental understanding of the physical origin, the mathematical behavior and the numerical treatment of models which include microstructure. Leading scientists present their efforts involving mathematical analysis, numerical analysis, computational mechanics, material modelling and experiment. The mathematical analyses are based on methods from the calculus of variations, while in the numerical implementation global optimization algorithms play a central role. The modeling covers all length scales, from the atomic structure up to macroscopic samples. The development of the models ware guided by experiments on single and polycrystals and results will be checked against experimental data
Member of
Cataloging source
MiAaPQ
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Lecture Notes in Applied and Computational Mechanics Ser.
Series volume
v.78
Analysis and Computation of Microstructure in Finite Plasticity
Label
Analysis and Computation of Microstructure in Finite Plasticity
Link
http://libproxy.rpi.edu/login?url=https://ebookcentral.proquest.com/lib/rpi/detail.action?docID=2096962
Publication
Copyright
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Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Preface -- Contents -- Numerical Algorithms for the Simulation of Finite Plasticity with Microstructures -- 1.1 Introduction -- 1.2 Preliminaries and Notation -- 1.3 Convergent Adaptive Finite Element Method for the Two-Well Problem in Elasticity -- 1.4 Guaranteed Lower Energy Bounds for the Two-Well Problem -- 1.5 Discontinuous Galerkin Method for Degenerate Convex Minimization Problems -- 1.6 Conclusions and Outlook -- Appendix A. Computation of -- References -- Variational Modeling of Slip: From Crystal Plasticity to Geological Strata -- 2.1 Introduction -- 2.2 Experimental Observation of Slip Microstructures in Nature -- 2.3 The Hunt-Peletier-Wadee Model for Kink Bands -- 2.4 Variational Modeling of Microstructure -- 2.5 Models in Crystal Plasticity with One Active Slip System -- 2.6 Beyond One Slip-System -- References -- Rate-Independent versus Viscous Evolution of Laminate Microstructures in Finite Crystal Plasticity -- 3.1 Introduction -- 3.2 Variational Modeling of Microstructures -- 3.3 Single Slip Crystal Plasticity -- 3.4 Partial Analytical Relaxation via Lamination -- 3.5 Rate-Independent Evolution -- 3.6 Simulation of Rotating Laminates -- 3.7 Viscous Evolution -- 3.8 Comparison of the Laminate Evolution for the Rate-Independent Case and the Viscosity Limit -- 3.9 Conclusion and Discussion -- References -- Variational Gradient Plasticity: Local-Global Updates, Regularization and Laminate Microstructures in Single Crystals -- 4.1 Introduction -- 4.2 A Multifield Formulation of Gradient Crystal Plasticity -- 4.3 Algorithmic Formulation of Gradient Crystal Plasticity -- 4.4 Example 1: Analysis of an F.C.C. Crystal Grain Aggregate -- 4.5 Example 2: Laminate Microstructure in Single Crystals -- 4.6 Conclusion -- References -- Variational Approaches and Methods for Dissipative Material Models with Multiple Scales -- 5.1 Introduction
  • 5.2 Variational Formulations for Evolution -- 5.3 Evolutionary D -Convergence -- 5.4 Justification of Rate-Independent Models -- 5.5 Rate-Independent Evolution of Microstructures -- References -- Energy Estimates, Relaxation, and Existence for Strain-Gradient Plasticitywith Cross-Hardening -- 6.1 Introduction -- 6.2 A Continuum Model for Strain-Gradient Plasticity with Cross Hardening -- 6.3 Relaxation of the Single-Slip Condition -- 6.4 Some Remarks about Existence of Minimizers -- 6.5 Energy Estimates for a Shear Experiment -- 6.6 Conclusions -- References -- Gradient Theory for Geometrically Nonlinear Plasticity via the Homogenization of Dislocations -- 7.1 Introduction -- 7.2 Key Mathematical Challenges -- 7.3 Heuristics for Scaling Regimes -- 7.4 Main Result -- 7.5 Ideas of Proof -- References -- Microstructure in Plasticity,a Comparison between Theoryand Experiment -- 8.1 Introduction -- 8.2 Modeling Continuum Plasticity -- 8.3 A Single-Pass Shear Deformation Experiment and the Resulting Microstructure -- 8.4 Conclusions -- References -- Construction of Statistically Similar RVEs -- 9.1 Introduction -- 9.2 Statistically Similar RVEs -- 9.3 Construction and Analysis of SSRVEs -- 9.4 Conclusion -- References -- Author Index
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Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b4390836'}
Extent
1 online resource (266 pages)
Form of item
online
Isbn
9783319182421
Media category
computer
Media MARC source
rdamedia
Media type code
c
Sound
unknown sound
Specific material designation
remote

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