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Shear strain effects on the theoretical strength of an atomic lattice. (English. Russian original) Zbl 0999.74502

Prikl. Mekh. Tekh. Fiz. 40, No. 4, 208-213 (1999); translation in J. Appl. Mech. Tech. Phys. 40, No. 4, 739-743 (1999).
The aim of the authors is to study a four-element elementary cell corresponding to a densely packed layer of atoms. The authors study the influence of shear strains on stability of a rhombus-like four-element cell extended along its diagonal when it undergoes a homogeneous deformation. The interatomic interaction is described by the Morse potential. It is shown that this system has an unstable post-critical behavior. This means that the load, when shear strains appear in the system, can happen to be 7.9 percent smaller than the fracturing load of an ideal system. As a result the authors arrive at the conclusion that it is necessary to introduce a correction on shear strains when estimating the theoretical strength of crystalline bodies.

MSC:

74A25 Molecular, statistical, and kinetic theories in solid mechanics
82B21 Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics