1940/10/01 by Max Born, Reinhold Fürth · 2 citations
Engineering · Physics and Astronomy · #Elasticity and Material Modeling #Advanced Materials and Mechanics #Force Microscopy Techniques and Applications
paper · doi:10.1017/s0305004100017503
openalex publication_date 1940/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/26
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.