活体大变形的能量原理
Energy Principle of Large Deformation for Living Systems
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摘要: 活体是具有自组织和自调控能力的生命系统.讨论活体的能量原理包含有力学和热力学原理两大部分.经典的小变形力学和可逆平衡态热力学理论巳不足于描述活体的运动.本文从大变形非对称应力理论力学描述活体宏观运动的力学能量原理.有关不可逆热力学问题将另文讨论.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 livihg system will be left in another paper[9].
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Key words:
- living system /
- energy principle /
- large deformation /
- S-R decomposition theorem /
- biomechanics
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[1] 陈至达,《有理力学》,中国矿业大学出版社,徐州(1988) [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. [5] Prigogine,L,Etude Thermodynamique des Processus Irreversibles,Desoer,Liege(1947). [6] Chen,Z.D.(陈至达),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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