Abstract

1. Analysis of the experimental data has shown that the deformation characteristics of materials with changing modules change not only with the change in sign of any of the main stresses, but also in the cases when the stresses do not change their sign, but the relationship between them changes. 2. Equations for the relations between deformations and stresses for isotropic and anisotropic solids have been proposed to describe the phenomena of module differences, which include the function of the type of the stress state. The use of the parameter ξ has been justified to describe the module differences of materials. The proposed equations represent equations of the nonlinear theory of elasticity. 3. A fully satisfactory agreement has been obtained between the calculated deformation coefficients and the exprimental data.

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