On the Angle of Convergence in the Constitutive Relations of the Theory of Elastoplastic Processes for Plane Deformation Trajectories

Key Points

• The significance of the approach angle in constitutive relations is addressed, enhancing the understanding of elastoplastic behavior under plane stress conditions.
• Key findings include deriving stress and strain relationships beyond the elastic limit, essential for predicting material behavior in engineering applications.
• This assessment highlights the necessity of including the angle between the strain trajectory and stress vector in elastoplastic models to fully capture material response.
• Implications suggest refined modeling techniques may improve predictions in engineering designs by accurately accounting for deformation paths.

Abstract