Generalized Tangent Modulus Theory And Its Applications

Derived proportional law can be established by using the relationship of real material stress and perfect elastic material stress, which doesn't limited by proportional limit of material, can reflect general views of stress-strain curve including linear part and nonlinear part, so it can be used in several branches of solid mechanics with proportional law of material. Derived proportional law is one of the constitutive relationship which must be submitted by all materials, it can transform linear theory to nonlinear theory by tangent modulus directly, and the nonlinear theory gained is easy to understand and apply. In term of the function of tangent modulus, we call the principle and method generalized tangent modulus theory.Generalized tangent modulus theory is a combined theory system of bending strength theory, stability theory, fracture theory and fatigue theory. Meantime, it is also an integrated system of linear and nonlinear theory, so it is good at solving all kinds of nonlinear mechanics questions and combined questions of strength and stability. Because parameters of generalized tangent modulus theory have the form of similarity coefficient, it can provide a new mechanism for using experiment data of entity or model, extending applied range of experimental data, designing and executing experiment scheme.This paper illustrates the principle and calculating method of generalized tangent modulus theory, and shows its applications in question of bending strength, stability, fracture strength, fatigue life and model experiment.