Phenomenological Model of Scattered Fracture for Anisotropic Materials

Abstract

Calculation methods for assessing the strength and durability of critical structural elements for various purposes generally assume the isotropy hypothesis of structural materials. At the same time, their technological and operational anisotropy significantly affects the bearing capacity of the entire product. Introducing damageability parameters into the system of governing equations makes it possible to increase the reliability of stress-strain state calculations and assess the durability of structural bearing elements. The use of anisotropic structural materials requires specification of the damageability tensor. The laws governing the influence of anisotropy of mechanical characteristics of metal materials on the kinetics of damage accumulation (scattered fractures) have been established. The results of experimental studies and kinetic damageability diagrams for anisotropic metallic structural materials are presented. A generalized damage accumulation model with consideration of anisotropy parameters has been developed. It allows determining the components of the damageability tensor based on the results of a single basic experiment to measure the degradation of the elastic modulus of a material. The dependence of the limit values of scattered fracture on anisotropy coefficients is shown.