A continuum elastic-plastic theory for porous materials with maximum energy dissipation rate

Key Points

• The objective is to develop a continuum elastic-plastic theory that incorporates maximum energy dissipation for porous materials.
• Developed theory based on the first and second laws of thermodynamics.
• Considered the influence of plastic volumetric strain in the model.
• Derived an incremental elastic-plastic constitutive law.
• Proposed a series of yield criteria for practical application.
• Demonstrated implementation with a simple example.
• The proposed theory provides a comprehensive modeling of elastic-plastic behavior of porous materials.
• New yield criteria enhance predictions of material response under various conditions.
• The model shows a significant improvement over traditional approaches like the Prandtl-Reuss equation.