Advances in Applied Mechanics, Volume 55 in this ongoing series, highlights new advances in the field, with this new volume presenting interesting chapters on topics such as Towards stochastic multi-scale methods in continuum solid mechanics, Fracture in soft elastic materials: Continuum description, molecular aspects and applications, Bio-Chemo-Mechanical Coupling Models of Soft Biological Materials: A Review, Viscoelasticity and cell swirling motion, Model selection and sensitivity analysis in the biomechanics of soft tissues: A case study on the human knee meniscus, Oncology and mechanics: Landmark studies and promising clinical.
1. 1 Introduction and motivations - p. 1 2. 2 Definitions and notations - p. 4 3. 3 Virtual microstructures - p. 18 4. 4 Apparent material properties - p. 72 5. 5 Stochastic macroscale simulations - p. 123 6. 6 Conclusions - p. 179 7. Acknowledgments - p. 181 8. Appendix A Generation tools - p. 181 9. Appendix B Maximum entropy framework - p. 221 10. Appendix C Finite-element resolution of the homogenization problems - p. 222 11. References - p. 233 12. Chapter Two: Fracture in soft elastic materials: Continuum description, molecular aspects and applications - p. 255 13. Abstract - p. 255 14. 1 Introduction - p. 256 15. 2 The fracture toughness of soft matter - p. 258 16. 3 The crack-tip region at large strains - p. 263 17. 4 The fracture process in cutting of soft materials - p. 278 18. 5 The mechanism of soft fracture: A molecular view - p. 290 19. 6 Discussion - p. 299 20. 7 Conclusions - p. 302 21. References - p. 303 22. Chapter Three: Bio-chemo-mechanical coupling models of soft biological materials: A review - p. 309 23. Abstract - p. 309 24. 1 Introduction - p. 310 25. 2 Bio-chemo-mechanical coupling models of biological tissues - p. 314 26. 3 Bio-chemo-mechanical coupling models of cellular behaviors - p. 344 27. 4 Coupling models of biomedical soft materials - p. 358 28. 5 Typical in vivo bio-chemo-mechanical coupling processes - p. 366 29. 6 Organoid modeling systems with bio-chemo-mechanical interactions - p. 375 30. 7 Summary and perspectives - p. 377 31. Acknowledgment - p. 376 32. References - p. 376 33. Chapter Four: Viscoelasticity and cell swirling motion - p. 393 34. Chapter Five: Model selection and sensitivity analysis in the biomechanics of soft tissues: A case study on the human knee meniscus - p. 443 35. Abstract - p. 426 36. 1 Introduction - p. 436 37. 2 Background - p. 435 38. 3 Review of experimental poromechanical data - p. 440 39. 4 Important issues to consider for meniscal tissue modeling - p. 452 40. 5 The patient-specific knee joint model - p. 452 41. 6 Constitutive descriptions - p. 452 42. 7 Finite element model - p. 458 43. 8 Numerical analyses and results - p. 464 44. 9 Discussion on material models - p. 480 45. 10 Identification of model parameters and model comparison based on Bayesian inference - p. 482 46. 11 Conclusions - p. 491 47. Acknowledgments - p. 494 48. Appendix A Fitting of hyperelastic models - p. 496 49. Appendix B Fitting of uniaxial confined compression experiment - p. 495 50. Appendix C Estimation of linear viscoelastic parameters using interconversion between viscoelastic material functions - p. 497 51. References - p. 497 52. Chapter Six: Oncology and mechanics: Landmark studies and promising clinical applications - p. 513
Advances in Applied Mechanics, Volume 55 in this ongoing series, highlights new advances in the field, with this new volume presenting interesting chapters on topics such as Towards stochastic multi-scale methods in continuum solid mechanics, Fracture in soft elastic materials: Continuum description, molecular aspects and applications, Bio-Chemo-Mechanical Coupling Models of Soft Biological Materials: A Review, Viscoelasticity and cell swirling motion, Model selection and sensitivity analysis in the biomechanics of soft tissues: A case study on the human knee meniscus, Oncology and mechanics: Landmark studies and promising clinical.
1. 1 Introduction and motivations - p. 1 2. 2 Definitions and notations - p. 4 3. 3 Virtual microstructures - p. 18 4. 4 Apparent material properties - p. 72 5. 5 Stochastic macroscale simulations - p. 123 6. 6 Conclusions - p. 179 7. Acknowledgments - p. 181 8. Appendix A Generation tools - p. 181 9. Appendix B Maximum entropy framework - p. 221 10. Appendix C Finite-element resolution of the homogenization problems - p. 222 11. References - p. 233 12. Chapter Two: Fracture in soft elastic materials: Continuum description, molecular aspects and applications - p. 255 13. Abstract - p. 255 14. 1 Introduction - p. 256 15. 2 The fracture toughness of soft matter - p. 258 16. 3 The crack-tip region at large strains - p. 263 17. 4 The fracture process in cutting of soft materials - p. 278 18. 5 The mechanism of soft fracture: A molecular view - p. 290 19. 6 Discussion - p. 299 20. 7 Conclusions - p. 302 21. References - p. 303 22. Chapter Three: Bio-chemo-mechanical coupling models of soft biological materials: A review - p. 309 23. Abstract - p. 309 24. 1 Introduction - p. 310 25. 2 Bio-chemo-mechanical coupling models of biological tissues - p. 314 26. 3 Bio-chemo-mechanical coupling models of cellular behaviors - p. 344 27. 4 Coupling models of biomedical soft materials - p. 358 28. 5 Typical in vivo bio-chemo-mechanical coupling processes - p. 366 29. 6 Organoid modeling systems with bio-chemo-mechanical interactions - p. 375 30. 7 Summary and perspectives - p. 377 31. Acknowledgment - p. 376 32. References - p. 376 33. Chapter Four: Viscoelasticity and cell swirling motion - p. 393 34. Chapter Five: Model selection and sensitivity analysis in the biomechanics of soft tissues: A case study on the human knee meniscus - p. 443 35. Abstract - p. 426 36. 1 Introduction - p. 436 37. 2 Background - p. 435 38. 3 Review of experimental poromechanical data - p. 440 39. 4 Important issues to consider for meniscal tissue modeling - p. 452 40. 5 The patient-specific knee joint model - p. 452 41. 6 Constitutive descriptions - p. 452 42. 7 Finite element model - p. 458 43. 8 Numerical analyses and results - p. 464 44. 9 Discussion on material models - p. 480 45. 10 Identification of model parameters and model comparison based on Bayesian inference - p. 482 46. 11 Conclusions - p. 491 47. Acknowledgments - p. 494 48. Appendix A Fitting of hyperelastic models - p. 496 49. Appendix B Fitting of uniaxial confined compression experiment - p. 495 50. Appendix C Estimation of linear viscoelastic parameters using interconversion between viscoelastic material functions - p. 497 51. References - p. 497 52. Chapter Six: Oncology and mechanics: Landmark studies and promising clinical applications - p. 513
