In the biological world, atoms and molecules are organized into cells, tissues, organs, and individual organisms. We are interested in the movement of matter inside and around the organisms. At the atomic and molecular level the movement of matter must be analyzed with quantum, relativistic, and statistical mechanics. At the cellular, tissue, organ, and organism level it is usually sufficient to take Newton’s laws of motion as an axiom. The object of study of this book is at the animal, organ, tissue, and cell level. The smallest volume we shall consider contains a very large number of atoms and molecules. In these systems it is convenient to consider the material as a continuum.
KeywordsConstitutive Equation Complex Modulus Relaxation Function Maxwell Model Stretch Ratio
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- Bird, R. B., Hassager, O., Armstrong, R. C., and Curtiss, C. F. (1977) Dynamics of Polymeric Liquids: Vol. 1. Fluid Mechanics; Vol. 2. Kinetic Theory. Wiley, New York.Google Scholar
- Boltzmann, L. (1876) Zur theorie der elastischen Nachwickung. Ann. Phys. Suppl. 7, 624–654.Google Scholar
- Fung, Y. C. (1965) Foundations of Solid Mechanics. Prentice-Hall, Englewood Cliffs, NJ.Google Scholar
- Fung, Y. C. (1993) A First Course in Continuum Mechanics, 3rd edition. Prentice-Hall, Englewood Cliffs, NJ.Google Scholar
- Green, A. E. and Adkins, J. E. (1960) Large Elastic Deformations. Oxford University Press, London.Google Scholar