Cardiovascular Soft Tissue Mechanics by Gerhard A. Holzapfel, Thomas C. Gasser (auth.), Stephen C.

By Gerhard A. Holzapfel, Thomas C. Gasser (auth.), Stephen C. Cowin, Jay D. Humphrey (eds.)

This exact quantity of the magazine of Elasticity represents the 1st in a brand new p- gram devoted to the occasional ebook of collections of invited, reviewed papers of topical curiosity. the aim of this software is to highlight the dev- opments and purposes within the mechanics of fabrics inside of particular components that may increase development and supply perception for the development of the sector in addition to advertise basic realizing and easy discovery. gentle Tissue Mechanics is a space of biomechanics that pulls seriously upon f- damental rules and fabric versions from nonlinear elasticity and viscoelasticity. a huge aim of this learn is to appreciate these mechanics houses of center, artery, collagen and skeletal muscular tissues that may be used for the prognosis of illnesses and the advance of human lifestyles. This quantity illustrates how test, modeling and computation is at the moment hired during this rising box. might 2001 ROGER FOSDICK Editor-in-Chief magazine of Elasticity sixty one: ix–xii, 2000. ix Preface There are fundamental components for the applying of elasticity within the biomechanics of tissues: tough tissue mechanics (e.g., bone, enamel, horns, etc.) and gentle tissue - chanics (e.g., epidermis, tendons, arteries, etc.). The distinguishing function among those tissue kinds is the volume of physiological “normal” deformation they event. whereas “hard” tissues merely adventure small deformations, gentle tissues normally event huge deformations. From a biomechanics perspective delicate tissues fall in the realm of finite elasticity.

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Biomech. Engr. 113 (1991) 42–55. C. C. Fung, Species dependence of the zero–stress state of aorta: Pig versus rat. J. Biomech. Engr. 113 (1991) 446–451. K. Hayashi, Experimental approaches on measuring the mechanical properties and constitutive laws of arterial walls. J. Biomech. Engr. 115 (1993) 481–488. A. Holzapfel, Nonlinear Solid Mechanics. A Continuum Approach for Engineering, Wiley, Chichester (2000). A. C. Gasser, A viscoelastic model for fiber-reinforced composites at finite strains: Continuum basis, computational aspects and applications.

Biol. Med. 28 (1998) 377–392. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. ARTERIAL WALL MECHANICS 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. H. Hoppmann and L. Wan, Large deformation of elastic tubes. J. Biomech. 3 (1970) 593– 600. R. Hughes, The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, Englewood Cliffs, NJ (1987). D. Humphrey, Mechanics of arterial wall: Review and directions.

Figure 16(b) shows that the proposed potential (67)–(68) is also able to model the typical evolution of the reduced axial force F with inflation (increase of the inner radius) of the artery; see Figure 2(b) in [66]. This means that F is a decreasing function of at axial stretches less than some value above the physiological stretch and an increasing function for greater than this value (this effect is also evident in Figure 7(b)). This characteristic behavior can also be replicated with the other potentials described in Section 4 except for the constitutive model in [62]; see Figure 9(b).

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