Advances in Applied Mechanics draws together recent, significant advances in various topics in applied mechanics. Published since 1948, the book aims to provide authoritative review articles on topics in the mechanical sciences. While the book is ideal for scientists and engineers working in various branches of mechanics, it is also beneficial to professionals who use the results of investigations in mechanics in various applications, such as aerospace, chemical, civil, environmental, mechanical, and nuclear engineering.
1. 1 Introduction - p. 2 2. 2 Methodology and Proposed ILG Platform - p. 13 3. 3 Emerging Research Case-Study Areas - p. 25 4. 4 Benchmark Problems - p. 38 5. 5 Concluding Remarks - p. 93 6. Acknowledgments - p. 97 7. Chapter Two: Scaling to RVE in Random Media - p. 110 8. Abstract - p. 112 9. 1 Micro-, Meso-, and Macroscales - p. 113 10. 2 Spatial Randomness - p. 119 11. 3 Antiplane Elasticity = In-Plane Conductivity - p. 126 12. 4 Elastic Microstructures - p. 134 13. 5 Inelastic Microstructures - p. 145 14. 5.1 Physically Nonlinear Elastic Microstructures - p. 145 15. 5.2 Elastic-Plastic Microstructures - p. 149 16. 5.3 Hierarchies of Yield Surfaces - p. 154 17. 5.4 Scaling in Damage Phenomena - p. 158 18. 6 Viscoelastic Microstructures - p. 161 19. 7 Stokes Flow in Porous Media - p. 165 20. 8 Thermoelastic Microstructures - p. 168 21. 9 Homogenization by a Micropolar Continuum - p. 177 22. 10 Waves and Wavefronts in Random Media - p. 183 23. 11 Electromagnetic Properties - p. 189 24. 12 RVE in Presence of Violations of Thermodynamics’ Second Law - p. 192 25. 13 Conclusions - p. 199 26. Acknowledgments - p. 203 27. Index - p. 213
Advances in Applied Mechanics draws together recent, significant advances in various topics in applied mechanics. Published since 1948, the book aims to provide authoritative review articles on topics in the mechanical sciences. While the book is ideal for scientists and engineers working in various branches of mechanics, it is also beneficial to professionals who use the results of investigations in mechanics in various applications, such as aerospace, chemical, civil, environmental, mechanical, and nuclear engineering.
1. 1 Introduction - p. 2 2. 2 Methodology and Proposed ILG Platform - p. 13 3. 3 Emerging Research Case-Study Areas - p. 25 4. 4 Benchmark Problems - p. 38 5. 5 Concluding Remarks - p. 93 6. Acknowledgments - p. 97 7. Chapter Two: Scaling to RVE in Random Media - p. 110 8. Abstract - p. 112 9. 1 Micro-, Meso-, and Macroscales - p. 113 10. 2 Spatial Randomness - p. 119 11. 3 Antiplane Elasticity = In-Plane Conductivity - p. 126 12. 4 Elastic Microstructures - p. 134 13. 5 Inelastic Microstructures - p. 145 14. 5.1 Physically Nonlinear Elastic Microstructures - p. 145 15. 5.2 Elastic-Plastic Microstructures - p. 149 16. 5.3 Hierarchies of Yield Surfaces - p. 154 17. 5.4 Scaling in Damage Phenomena - p. 158 18. 6 Viscoelastic Microstructures - p. 161 19. 7 Stokes Flow in Porous Media - p. 165 20. 8 Thermoelastic Microstructures - p. 168 21. 9 Homogenization by a Micropolar Continuum - p. 177 22. 10 Waves and Wavefronts in Random Media - p. 183 23. 11 Electromagnetic Properties - p. 189 24. 12 RVE in Presence of Violations of Thermodynamics’ Second Law - p. 192 25. 13 Conclusions - p. 199 26. Acknowledgments - p. 203 27. Index - p. 213
