Improved criteria for ductile porous materials having a Green type matrix by using Eshelby-like velocity fields

• Two improved macroscopic criteria are established for Green type porous material.
• Eshelby-like velocity fields are used to determine the macroscopic criterion.
• New numerical results are provided for the Green type porous materials.
• The new criteria are validated by comparing their results to numerical results.

In the framework of limit analysis theory, a macroscopic yield function has been recently established by [14] for ductile porous materials having a Green type matrix. The present study aims at improving this macroscopic criterion by considering Eshelby-like velocity fields for the limit analysis of a hollow sphere subjected to uniform strain rate boundary conditions. The newly derived criteria are assessed by comparing their predictions with data obtained from numerical limit analysis computations (lower and upper bounds).