Energy-based criterion of long-term static strength of materials with nonlinear physical properties

Abstract

We generalize the existing approaches of physical materials science and the mechanics of deformable bodies and suggest a mathematical model of the long-term strength of solid materials with nonlinear physical properties and new formulas for energy-based criteria of bulk brittle and ductile failure. The experimental data on the fracture of numerous polymeric materials and nonferrous metals presented in the work are in good agreement with the theoretical data of the criteria computed for the exponential type of deformation.