The stability of crystal lattices. III
- 24 October 1940
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 36 (4), 454-465
- https://doi.org/10.1017/s0305004100017503
Abstract
The energy density of a cubic lattice, homogeneously deformed by a force acting in the direction of one axis, is calculated, and the equilibrium conditions and the stability conditions for any arbitrary small additional deformations are derived. A special assumption is made as to the law of force between the atoms, and the numerical calculations are performed for the face-centred lattice. In this way the strain as a function of the deformation is calculated and, from the stability conditions, the tensile strength is determined. The results are not in agreement with the experimental facts, and the possible reasons for this disagreement are discussed.Keywords
This publication has 10 references indexed in Scilit:
- Relation between Breaking and MeltingNature, 1940
- On the stability of crystal lattices. IMathematical Proceedings of the Cambridge Philosophical Society, 1940
- On the stability of crystal lattices. IIMathematical Proceedings of the Cambridge Philosophical Society, 1940
- Thermodynamics of Crystals and MeltingThe Journal of Chemical Physics, 1939
- The equation of state of gases and critical phenomenaPhysica, 1937
- KristallplastizitätThe Journal of Physical Chemistry, 1935
- KristallplastizitätPublished by Springer Science and Business Media LLC ,1935
- Zur Gittertheorie der IonenkristalleThe European Physical Journal A, 1932
- Atomtheorie des Festen Zustandes (Dynamik der Kristallgitter)Published by Springer Science and Business Media LLC ,1923
- Über die Natur des ZerreißvorgangesThe European Physical Journal A, 1921