Investigations of the quadrature phase impact on the behavior of the Liu & Mahadevan’s criterion for fully reversed bending–torsion experiments

• Numerical computation of the Liu & Mahadevan’s criterion.
• Fully reversed bending–torsion experiments are considered.
• Analytic analysis for brittle steel materials for validating the numerical study.
• Comparison of numerical study with experimental data provided by literature.
• Singular behavior of the criterion for in-quadrature phase of stresses.

The present paper focuses on stress-based criterion of Liu & Mahadevan. A computation of this criterion from an implementation of a numerical procedure based on stress solutions leading to unit criterion is proposed. This approach is supported by an analytic analysis for brittle steel materials for validating the numerical study. A singular behavior of the criterion is observed for in-quadrature phase of stresses, when fully reversed bending–torsion experiments are considered. A comparison of results with some experimental data provided by literature is performed.