Isotropic yield criterion and its use in axisymmetric elastic-plastic analysis

Abstract

The isotropic yield criterion plays a critical role in modeling the mechanical behavior of materials under stress, particularly in the context of elastic-plastic deformation. This paper explores the use of isotropic yield criteria in axisymmetric elastic-plastic analysis, which is of significant importance in industries such as manufacturing, aerospace, and civil engineering. The isotropic yield criterion, combined with the assumption of axisymmetry, simplifies the computational complexity of analyzing mechanical components under various load conditions. This paper provides an in-depth examination of the theoretical foundations of isotropic yield criteria, the computational implementation in axisymmetric problems, and validation through numerical simulations. The results demonstrate the utility and accuracy of the isotropic yield criterion in capturing material behavior under complex loading conditions, making it a valuable tool in structural analysis.