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2001 (1)
1975 (1)
1Author    Hans GrulerRequires cookie*
 Title    Chemoelastic Effect of Membranes  
 Abstract    The elastic theory of a uniaxial membrane in an asymmetric environment predicts a spontaneous splay deformation. This spontaneous curvature of the membrane is discussed by the intrinsic splay of the membrane molecules (e. g. wedge shaped molecules) and their polar orientation. The chemoelastic effect is the polar orientation induced by the asymmetric environment in connection with the intrinsic splay. This effect is also discussed for polyelectrolytes where a small change of pH (~0.1) can lead to a spontaneous curvature of 104 cm-1. The actual shape of red blood cells can be explained by the spontaneous splay and a change in environment induces the change in shape of these cells. A model is proposed for two conical bodies swimming in a uniaxial membrane which interact with each other through elastic coupling. The force between the bodies can be either attractive or repulsive. As an example of this model clustering of proteins is discussed. 
  Reference    (Z. Naturforsch. 30c, 608—614 [1975]; received June 18 1975) 
  Published    1975 
  Keywords    Membrane, Elasticity, Erythrocyte, Enzyme Coupling 
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 TEI-XML for    default:Reihe_C/30/ZNC-1975-30c-0608.pdf 
 Identifier    ZNC-1975-30c-0608 
 Volume    30 
2Author    FalkH. KoenemannRequires cookie*
 Title    Unorthodox Thoughts about Deformation, Elasticity, and Stress  
 Abstract    The nature of elastic deformation is examined in the light of the potential theory. The concepts and mathematical treatment of elasticity and the choice o f equilibrium conditions are adopted from the mechanics o f discrete bodies, e. g., celestial mechanics; they are not applicable to a change o f state. By nature, elastic deformation is energetically a Poisson problem since the buildup of an elastic potential implies a change of the energetic state in the sense of thermodynamics. In the Euler-Cauchy theory, elasticity is treated as a Laplace problem, implying that no change of state occurs, and there is no clue in the Euler-Cauchy approach that it was ever considered as one. The Euler-Cauchy theory of stress is incompatible with the potential theory and with the nature of the problem; it is therefore wrong. The key point in the understanding of elasticity is the elastic potential. 
  Reference    Z. Naturforsch. 56a, 794—808 (2001); received January 25 2001 
  Published    2001 
  Keywords    Potential Theory, Elasticity, Stress, Poisson Equation, Cauchy Theory 
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 TEI-XML for    default:Reihe_A/56/ZNA-2001-56a-0794.pdf 
 Identifier    ZNA-2001-56a-0794 
 Volume    56