1940/10/01 by Max Born, Rama Dhar Misra · 6 citations
Chemistry · Engineering · Mathematics · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Character (mathematics) #Chemistry #Composite material #Computer science #Condensed matter physics #Crystal (programming language) #Crystal structure #Crystallography #Deformation (meteorology) #Elasticity and Material Modeling #Elasticity and Wave Propagation #Geometry #Lattice (music) #Materials science #Mathematics #Order (exchange) #Physics #Stability (learning theory) #Statistical physics #Thermodynamics #Ultimate tensile strength
paper · doi:10.1017/s0305004100017515
openalex publication_date 1940/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
In order to explain the phenomena of melting, tensile strength, etc., we have to investigate the stability of crystals for finite deformations, for which deviations from Hooke's law occur. Although these deviations are in most cases of an irreversible character, it is necessary, for a systematic study, to develop mathematical methods for treating the mechanical (reversible) case of a highly strained crystal lattice, where terms of higher order than the second in the deformation energy must be taken into account.