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Energy principle of large deformation for living systems

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Abstract

Living system is a non-equilibrium open system having the function of self-organization and self-control. The study of energy principle of living system involves two principal parts: mechanics and thermodynamics. The classical infinitesimal deformation theory and thermodynamics of equilibrium state are not sufficient to explain the complex motion of living system. We aim in this paper to describe the mechanical energy principle of macroscopic motion of living body based on large deformation non-symmetry stress field theory. The principle of irreversible thermodynamics applied to living system will be left in another paper[9].

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References

  1. Chen, Z. D.,Rational Mechanics, China Institute of Mining & Technology Press, Xuzhou, China (1988).

    Google Scholar 

  2. Nicolis, G. and I. Prigogine,Self-Organization in Non-equilibrium Systems, John Wiley & Son (1977).

  3. Volkenstein, M. V.,Physics and Biology, Academic Press, (1982).

  4. Cheng, H. and K. C. Gupta, An historical note on Finite rotations,J. Appl. Mech,56 (1989), 139–145.

    Google Scholar 

  5. Prigogine, I.,Etude Thermodynamique des Processus Irreversibles, Desoer, Liège (1947).

    Google Scholar 

  6. Chen, Z. D., Energy principle and incremental law for large deformation of biomuscle,Proc. Int. Cong. Appl. Mechanics, Beiing, August (1989), 21–25.

  7. Schrödinger, E.,‘What is Life?’ The Physical Aspects of the Living Cell, Cambridge University Press (1945).

  8. Webb, P. W. and D. Weihs, (Editors),Fish Biomechanics, Praeger Publishers (1983).

  9. Chen, Z. D., Energy principle of large deformation for living systems and application to biocybernetics, contributed to XI U.S. National Congress of Applied Mechanics, Arizona, U.S.A. May (1990), 21–25.

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Dedicated to the Tenth Anniversary and One Hundred Numbers of AMM (III)

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Zhi-da, C. Energy principle of large deformation for living systems. Appl Math Mech 12, 247–253 (1991). https://doi.org/10.1007/BF02098054

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  • DOI: https://doi.org/10.1007/BF02098054

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