 1  Author
 Hans Gruler  Requires 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 cm1. 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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2  Author
 FalkH. Koenemann  Requires 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 EulerCauchy theory, elasticity is treated as a Laplace problem, implying that no change of state occurs, and there is no clue in the EulerCauchy approach that it was ever considered as one. The EulerCauchy 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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