Constitutive Model for Grouted Rock Mass by Macro-Meso Damage

Area of Science:

• Geotechnical Engineering
• Rock Mechanics
• Materials Science

Background:

• Rock fractures critically affect geotechnical engineering stability.
• Grouting is the primary reinforcement method for fractured rock masses.
• Understanding grouted rock mass deformation and mechanics is vital for stability.

Purpose of the Study:

• To enhance the accuracy and applicability of existing damage constitutive models for fractured rock.
• To develop a constitutive model for grouting-reinforced rock mass.
• To investigate the deformation and mechanical properties of grouted rock.

Main Methods:

• Theoretical analyses and laboratory experiments were performed.
• Introduced fracture width parameter into macroscopic damage tensor theory.
• Optimized the Weibull model using effective bearing area.
• Combined macroscopic damage with the Reuss model and composite material mixing laws.

Main Results:

• The fracture width parameter accurately described macroscopic damage variation.
• The optimized Weibull model effectively matched fractured rock stress-strain curves.
• A novel constitutive damage model for grouted rock mass was derived.

Conclusions:

• The enhanced damage constitutive model improves accuracy for fractured rock.
• The study provides a robust constitutive model for grouting-reinforced rock mass.
• Findings contribute to better stability analysis and design in geotechnical engineering.