Tabular solution of the stress-cubic equation: An algebraic transformation simplifies 3D stress analysis and could streamline FEA code

摘要

Principal stresses are defined as the maximum and minimum normal stresses in a plane. Principal stresses are perpendicular to each other and oriented such that shear stresses are zero. For 3D stress states, principal stresses equal the roots of the general stress-cubic equation: σ{sup}3-I{sub}1σ{sup}2+I{sub}2σ-I{sub}3=0 (1).