Über die Beziehung zwischen den beiden Elastizitätsconstanten isotroper Körper

Über die Beziehung zwischen den beiden Elastizitätsconstanten isotroper Körper

1887 | W. Voigt
In the fourth experiment, the apparatus was disassembled and cleaned. The author believes that these experiments did not reveal any difference in the effect of clockwise and counterclockwise rotation. By taking the average of the values of α/n obtained for both directions in each experiment, it was found that the best agreement between the two directions was achieved. The results for the fourth experiment are as follows: For the + rotation: α/n = 0.660 For the - rotation: α/n = 0.655 The author discusses the relationship between the two elastic constants of isotropic bodies, which Poisson theoretically derived. However, this relationship has not been confirmed by experiments in most cases. The author suggests that molecules of crystals may be polarized and exert forces depending on the direction of their connecting lines relative to fixed directions within the molecules. This assumption is extended to isotropic bodies, but it is noted that if molecules are assumed to be in all possible orientations, the Poisson's relation is restored. The author argues that many so-called isotropic bodies have structures that do not conform to this assumption, suggesting that the observed phenomena can be explained by the presence of small crystalline fragments in isotropic bodies. These fragments, though small compared to the overall size of the body, are large enough to be visible under optical microscopes. The author concludes that the elastic constants of quasi-isotropic bodies can be calculated from those of homogeneous crystals. The author also discusses the calculation of elastic constants for isotropic bodies based on the potential of elastic forces and the transformation of coordinates. The results show that the elastic constants of quasi-isotropic bodies depend on the orientation of the crystal. The author calculates the elastic constants A, B, and C for quasi-isotropic bodies and compares them with experimental data for various crystals. The results show that the Poisson's relation is not always valid for quasi-isotropic bodies, depending on the polarization of the molecules. The author concludes that the Poisson's relation is valid only when the molecules are not polarized. The author also discusses the experimental verification of the theoretical results using the elastic constants of various crystals and finds a good agreement between the theoretical predictions and the experimental results. The author concludes that the Poisson's relation is valid for isotropic bodies composed of small crystalline fragments. The author also discusses the difficulties in verifying the theoretical results experimentally due to the limited availability of suitable materials and the challenges in measuring the elastic constants of crystals and quasi-isotropic bodies. The author concludes that the theoretical results are in good agreement with the experimental results for various materials. The author also discusses the implications of the results for the understanding of the elastic properties of materials and the importance of considering the polarization of molecules in the calculation of elastic constants. The author concludes that the results provide a better understanding of the elastic properties of materials and the importance of considering the polarization of molecules in the calculation of elastic constants. The author also discusses the implicationsIn the fourth experiment, the apparatus was disassembled and cleaned. The author believes that these experiments did not reveal any difference in the effect of clockwise and counterclockwise rotation. By taking the average of the values of α/n obtained for both directions in each experiment, it was found that the best agreement between the two directions was achieved. The results for the fourth experiment are as follows: For the + rotation: α/n = 0.660 For the - rotation: α/n = 0.655 The author discusses the relationship between the two elastic constants of isotropic bodies, which Poisson theoretically derived. However, this relationship has not been confirmed by experiments in most cases. The author suggests that molecules of crystals may be polarized and exert forces depending on the direction of their connecting lines relative to fixed directions within the molecules. This assumption is extended to isotropic bodies, but it is noted that if molecules are assumed to be in all possible orientations, the Poisson's relation is restored. The author argues that many so-called isotropic bodies have structures that do not conform to this assumption, suggesting that the observed phenomena can be explained by the presence of small crystalline fragments in isotropic bodies. These fragments, though small compared to the overall size of the body, are large enough to be visible under optical microscopes. The author concludes that the elastic constants of quasi-isotropic bodies can be calculated from those of homogeneous crystals. The author also discusses the calculation of elastic constants for isotropic bodies based on the potential of elastic forces and the transformation of coordinates. The results show that the elastic constants of quasi-isotropic bodies depend on the orientation of the crystal. The author calculates the elastic constants A, B, and C for quasi-isotropic bodies and compares them with experimental data for various crystals. The results show that the Poisson's relation is not always valid for quasi-isotropic bodies, depending on the polarization of the molecules. The author concludes that the Poisson's relation is valid only when the molecules are not polarized. The author also discusses the experimental verification of the theoretical results using the elastic constants of various crystals and finds a good agreement between the theoretical predictions and the experimental results. The author concludes that the Poisson's relation is valid for isotropic bodies composed of small crystalline fragments. The author also discusses the difficulties in verifying the theoretical results experimentally due to the limited availability of suitable materials and the challenges in measuring the elastic constants of crystals and quasi-isotropic bodies. The author concludes that the theoretical results are in good agreement with the experimental results for various materials. The author also discusses the implications of the results for the understanding of the elastic properties of materials and the importance of considering the polarization of molecules in the calculation of elastic constants. The author concludes that the results provide a better understanding of the elastic properties of materials and the importance of considering the polarization of molecules in the calculation of elastic constants. The author also discusses the implications
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[slides and audio] Ueber die Beziehung zwischen den beiden Elasticit%C3%A4tsconstanten isotroper K%C3%B6rper