On the formulation of constitutive equations for living soft tissues
Author:
William Prager
Journal:
Quart. Appl. Math. 27 (1969), 128-132
DOI:
https://doi.org/10.1090/qam/99834
MathSciNet review:
QAM99834
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Abstract: Soft living tissues deform freely under negligible stresses until a certain strain level is reached at which their stiffness increases sharply. Constitutive equations are developed that describe this kind of mechanical behavior and include Hooke’s law as a limiting case. It is shown that, similar to Hooke’s law, these constitutive equations assure uniqueness of solution for a broad class of boundary value problems. Possible extensions of the theory are briefly indicated.
Y. C. B. Fung, The elasticity of soft tissues in simple elongation, Amer. J. Physiology 213,1532–1544 (1967), Figure 2
W. Prager, On ideal locking materials, Trans. Soc. Rheology 1, 169–175 (1957)
- William Prager, Unilateral constraints in mechanics of continua, Atti Convegno Lagrangiano (Torino, 1963) Accad. Sci., Torino, 1964, pp. 181–191. MR 0181147
W. Prager, On elastic perfectly locking materials, Proc. 11th International Congress Appl. Mech., Munich, 1964 Springer; Berlin, 1966, pp. 538–544
- R. Hill, New horizons in the mechanics of solids, J. Mech. Phys. Solids 5 (1956), 66–74. MR 81645, DOI https://doi.org/10.1016/0022-5096%2856%2990009-6
Y. C. B. Fung, The elasticity of soft tissues in simple elongation, Amer. J. Physiology 213,1532–1544 (1967), Figure 2
W. Prager, On ideal locking materials, Trans. Soc. Rheology 1, 169–175 (1957)
W. Prager, Unilateral constraints in mechanics of continua, Atti del Simposio, Lagrangiano, Accad. del Scienze di Torino (1964) pp. 181–191
W. Prager, On elastic perfectly locking materials, Proc. 11th International Congress Appl. Mech., Munich, 1964 Springer; Berlin, 1966, pp. 538–544
R. Hill, New horizons in the mechanics of solids, J. Mech. Phys. Solids 5, 66–74 (1956)
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Article copyright:
© Copyright 1969
American Mathematical Society