Abstract
To describe the structural and mechanical properties of actual deformed crystalline specimens with defects (thermal vacancies), simultaneous use is made of the method of correlative functions of the particle and vacancy distribution over the volume and the method of thermodynamic functionals, which implies solution of the corresponding variational problem in the final stage of statistical investigations. For the first time the tensor of microscopic deformation of the lattice is introduced in governing equations of statistical physics as internal field parameters of the system. As a result, prerequisites for a statistical solution of problems of elasticity theory with simultaneous description of the structure and mechanical characteristics of the elastic properties of the specimens are created.
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Narkevich, I.I., Zharkevich, A.V. Molecular‐Statistical Description of Nonuniformly Deformed Specimens. 1. Formulation of the Problem and Method for Solving It. Journal of Engineering Physics and Thermophysics 73, 1272–1277 (2000). https://doi.org/10.1023/A:1009451027560
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DOI: https://doi.org/10.1023/A:1009451027560