Simhypo-sand: a simple hypoplastic model for granular materials and SPH implementation.

Area of Science:

• Geotechnical Engineering
• Computational Mechanics
• Material Science

Background:

• Accurate modeling of granular materials is crucial for geotechnical engineering applications.
• Existing models often require numerous parameters or struggle with complex behaviors.
• There is a need for efficient and robust constitutive models for soil mechanics.

Purpose of the Study:

• Introduce a novel hypoplastic model for granular materials.
• Develop a computationally efficient numerical implementation.
• Validate the model's predictive capabilities across diverse loading conditions.

Main Methods:

• Formulation of a simple hypoplastic constitutive model with 7 material parameters.
• Numerical implementation using explicit integration and a stress correction algorithm.
• Application within a smoothed particle hydrodynamics (SPH) framework.

Main Results:

• The model successfully captures key mechanical behaviors of granular materials.
• Simulations demonstrate accurate predictions for triaxial and simple shear tests at low strain rates.
• The model effectively reproduces complex phenomena like granular collapse, rigid penetration, and landslides at high strain rates.

Conclusions:

• The proposed hypoplastic model offers a parsimonious yet powerful tool for simulating soil behavior.
• The numerical approach ensures computational efficiency and stability.
• This model provides a valuable advancement for geotechnical analysis and design.