MOLECULAR‐STATISTICAL DESCRIPTION OF NONUNIFORMLY DEFORMED SPECIMENS. 3. CALCULATION OF THE DIAGRAM OF EXTENSION AND COMPRESSION OF A ONE‐DIMENSIONAL STATISTICAL MODEL OF DEFORMATION OF A MOLECULAR CRYSTAL

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Abstract

A system of nonlinear equations whose solution determines the dependence of the equilibrium concentration of vacancies on the molecular length of a chain with occupied and unoccupied sites has been obtained using the variational method. Numerical solution of this system made it possible to calculate the free energy, the thermodynamic Gibbs potential, and the deforming force as functions of the macroscopic deformation of the linear chain. As a result, a theoretical diagram of extension and compression for a one‐dimensional model has been constructed.

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