Advances in Applied Mechanics, Volume 56 in this ongoing series, highlights new advances in the field, with this new volume presenting interesting chapters on From Digital Control to Digital Twins in Medicine: A brief review and future perspectives, Predicting Nonlinear Deformation and Yarn Kinematics of Plain Weave Fabrics with Multiscale Recursive Micromechanics, Mechanics Theories for Anisotropic or Composite Materials, Historical purview and recent advances in fracture mechanics of elastomeric matrix composites, Mechanics constitutive models for viscoelastic solid materials: Development and a critical review, and more.
1. 1 Introduction - p. 3 2. 2 Constitutive relation and homogenized internal stresses - p. 10 3. 3 Incremental constitutive model for hyperelastic materials - p. 22 4. 4 True stresses - p. 29 5. 5 Failure detections - p. 44 6. 6 Typical applications - p. 62 7. 7 Discussions - p. 84 8. 8 Future trends - p. 94 9. 9 Conclusion - p. 99 10. References - p. 129 11. Chapter Two: Historical purview and recent advances in fracture mechanics of elastomeric matrix composites - p. 158 12. Chapter Three: Mechanics constitutive models for viscoelastic solid materials: Development and a critical review - p. 189 13. Abstract - p. 190 14. 1 Introduction - p. 190 15. 2 Constitutive equation categorized by linearity/nonlinearity - p. 198 16. 3 Constitutive models category by the factor-number - p. 255 17. 4 Mechanics objects characterizing category - p. 279 18. 5 Remarks and perspectives - p. 299 19. Acknowledgment - p. 301 20. References - p. 301 21. Chapter Four: From digital control to digital twins in medicine: A brief review and future perspectives - p. 323
Advances in Applied Mechanics, Volume 56 in this ongoing series, highlights new advances in the field, with this new volume presenting interesting chapters on From Digital Control to Digital Twins in Medicine: A brief review and future perspectives, Predicting Nonlinear Deformation and Yarn Kinematics of Plain Weave Fabrics with Multiscale Recursive Micromechanics, Mechanics Theories for Anisotropic or Composite Materials, Historical purview and recent advances in fracture mechanics of elastomeric matrix composites, Mechanics constitutive models for viscoelastic solid materials: Development and a critical review, and more.
1. 1 Introduction - p. 3 2. 2 Constitutive relation and homogenized internal stresses - p. 10 3. 3 Incremental constitutive model for hyperelastic materials - p. 22 4. 4 True stresses - p. 29 5. 5 Failure detections - p. 44 6. 6 Typical applications - p. 62 7. 7 Discussions - p. 84 8. 8 Future trends - p. 94 9. 9 Conclusion - p. 99 10. References - p. 129 11. Chapter Two: Historical purview and recent advances in fracture mechanics of elastomeric matrix composites - p. 158 12. Chapter Three: Mechanics constitutive models for viscoelastic solid materials: Development and a critical review - p. 189 13. Abstract - p. 190 14. 1 Introduction - p. 190 15. 2 Constitutive equation categorized by linearity/nonlinearity - p. 198 16. 3 Constitutive models category by the factor-number - p. 255 17. 4 Mechanics objects characterizing category - p. 279 18. 5 Remarks and perspectives - p. 299 19. Acknowledgment - p. 301 20. References - p. 301 21. Chapter Four: From digital control to digital twins in medicine: A brief review and future perspectives - p. 323