From microstructure investigations to multiscale modeling : bridging the gap / edited by Delphine Brancherie [and three others].

Format:

Book

Contributor:

Brancherie, Delphine, editor.

Series:

Mechanical engineering and solid mechanics series.

Mechanical Engineering and Solid Mechanics Series

Language:

English

Subjects (All):

Materials--Mechanical properties.

Materials.

Physical Description:

1 online resource (297 pages) : illustrations.

Edition:

1st ed.

Place of Publication:

London, England ; Hoboken, New Jersey : ISTE Ltd : John Wiley & Sons, Inc., 2017.

Summary:

Mechanical behaviors of materials are highly influenced by their architectures and/or microstructures. Hence, progress in material science involves understanding and modeling the link between the microstructure and the material behavior at different scales. This book gathers contributions from eminent researchers in the field of computational and experimental material modeling. It presents advanced experimental techniques to acquire the microstructure features together with dedicated numerical and analytical tools to take into account the randomness of the micro-structure.

Contents:

Cover

Half-Title Page

Title Page

Copyright Page

Contents

Preface

1. Synchrotron Imaging and Diffraction for In Situ 3D Characterization of Polycrystalline Materials

1.1. Introduction

1.2. 3D X-ray characterization of structural materials

1.2.1. Early days of X-ray computed tomography

1.2.2. X-ray absorption and Beer Lambert's law

1.2.3. X-ray detection

1.2.4. Radon's transform and reconstruction

1.2.5. Synchrotron X-ray microtomography

1.2.6. Phase contrast tomography

1.2.7. Diffraction contrast tomography

1.3. Nanox: a miniature mechanical stress rig designed for near-field X-ray diffraction imaging techniques

1.4. Coupling diffraction contrast tomography with the finite-element method

1.4.1. Motivation for image-based mechanical computations

1.4.2. 3D mesh generation from tomographic images

1.4.3. Toward a fatigue model at the scale of the polycrystal

1.5. Conclusion and outlook

1.6. Bibliography

2. Determining the Probability of Occurrence of Rarely Occurring Microstructural Configurations for Titanium Dwell Fatigue

2.1. Introduction

2.2. Experimental methods

2.2.1. MTR quantification metrics

2.2.2. Synthetic microstructure generation

2.2.3. Crystallographic analysis for titanium dwell fatigue

2.2.4. Block maxima

2.3. Results and discussion

2.3.1. Probability of occurrence

2.3.2. "Hard" MTR size distributions

2.3.3. Block maxima

2.4. Summary and outlook

2.5. Bibliography

3. Wave Propagation Analysis in 2D Nonlinear Periodic Structures Prone to Mechanical Instabilities

3.1. Introduction

3.2. Extensible energy of pantograph for dynamic analysis

3.2.1. Expression of the pantographic network energy

3.2.2. Dynamic equilibrium equation

3.3. Wave propagation in a nonlinear elastic beam.

3.3.1. Legendre-Hadamard ellipticity condition and loss of stability

3.3.2. Supersonic and subsonic modes for 1D wave propagation

3.3.3. Wave dispersion relation in 2D nonlinear periodic structures

3.3.4. Anisotropic behavior of 2D pantographic networks versus the degree of nonlinearity

3.4. Conclusion

3.5. Appendix

3.6. Bibliography

4. Multiscale Model of Concrete Failure

4.1. Introduction

4.2. Meso-scale model

4.3. Macroscopic model response

4.3.1. Uniaxial tests

4.3.2. Failure surface

4.4. Conclusions

4.5. Acknowledgments

4.6. Bibliography

5. Discrete Numerical Simulations of the Strength and Microstructure Evolution During Compaction of Layered Granular Solids

5.1. Introduction

5.2. Numerical simulation

5.2.1. Discrete particle simulations of powder compaction

5.2.2. Discrete particle simulation of layered compacts

5.3. Discussion

5.4. Conclusion

5.5. Acknowledgements

5.6. Bibliography

6. Microstructural Views of Stresses in Three-Phase Granular Materials

6.1. Microstructural expression of triphasic total stresses

6.1.1. Stress description within micro-scale volumes and interfaces of triphasic materials

6.1.2. Total stress derivation

6.2. Numerical modeling of wet ideal granular materials

6.2.1. DEM description of fluid microstructure

6.2.2. DEM description of stress and strains

6.3. Anisotropy of the capillary stress contribution

6.3.1. Mechanical loading

6.3.2. Hydraulic loading

6.4. Effective stress

6.5. Conclusion

6.6. Bibliography

7. Effect of the Third Invariant of the Stress Deviator on the Response of Porous Solids with Pressure-Insensitive Matrix

7.1. Introduction

7.2. Problem statement and method of analysis

7.2.1. Drucker yield criterion for isotropic materials

7.2.2. Unit cell model

7.3. Results.

7.3.1. Yield surfaces and porosity evolution

7.4. Conclusions

7.5. Bibliography

8. High Performance Data-Driven Multiscale Inverse Constitutive Characterization of Composites

8.1. Introduction

8.2. Automated multi-axial testing

8.2.1. Loading space

8.2.2. Experimental campaign

8.3. Constitutive formalisms

8.3.1. Small strain formulation

8.3.2. Finite strain formulation

8.4. Meshless random grid method for experimental evaluation of strain fields

8.5. Inverse determination of HDM via design optimization

8.5.1. Numerical results of design optimization

8.6. Surrogate models for characterization

8.6.1. Definition and construction of the surrogate model

8.6.2. Characterization by optimization

8.6.3. Validation with physical experiments

8.7. Multi-scale inversion

8.7.1. Forward problem: mathematical homogenization

8.7.2. Inverse problem

8.8. Computational framework and synthetic experiments

8.9. Conclusions and plans

8.10. Acknowledgments

8.11. Bibliography

9. New Trends in Computational Mechanics: Model Order Reduction, Manifold Learning and Data-Driven

9.1. Introduction

9.1.1. The big picture

9.1.2. The PGD at a glance

9.2. Constructing slow manifolds

9.2.1. From principal component analysis (PCA) to kernel principal component analysis (kPCA)

9.2.2. Kernel principal component analysis (kPCA)

9.2.3. Locally linear embedding (LLE)

9.2.4. Discussion

9.3. Manifold-learning-based computational mechanics

9.4. Data-driven simulations

9.4.1. Data-based weak form

9.4.2. Constructing the constitutive manifold

9.5. Data-driven upscaling of viscous flows in porous media

9.5.1. Upscaling Newtonian and generalized Newtonian fluids flowing in porous media

9.6. Conclusions

9.7. Bibliography

List of Authors

Index.

Other titles from iSTE in Civil Engineering and Geomechanics

EULA.

Notes:

Includes index.

Description based on print version record.

ISBN:

9781119484448

1119484448

9781119476757

1119476755

9781119484479

1119484472

OCLC:

1013889281