The Mohr-Coulomb Failure Criterion is a mathematical model describing the response of materials to shear stress and normal stress, predicting failure when the shear stress exceeds a material-specific threshold dependent on normal stress. It is widely used in geotechnical engineering to assess the stability of soil and rock masses, as well as in the design of foundations, slopes, and retaining structures.

Mohr-Coulomb Failure Criterion

A mathematical model is a representation of a system using mathematical concepts and language, enabling analysis, prediction, and understanding of complex phenomena. These models are crucial in fields such as physics, economics, and engineering, where they help simulate real-world processes and guide decision-making.

mathematical model

Shear stress is a measure of how a force is distributed parallel to a surface, causing layers of a material to slide against each other. It plays a crucial role in determining the structural integrity and deformation behavior of materials under load, influencing fields such as fluid dynamics, material science, and civil engineering.

shear stress

Normal stress is the stress component perpendicular to a given surface, arising from forces applied uniformly across the surface area. It is crucial in analyzing how materials withstand loads without deforming or failing, playing a significant role in engineering and material science applications.

normal stress

Failure Prediction

material-specific threshold

Geotechnical engineering is a branch of civil engineering that focuses on the behavior of earth materials and their interaction with structures. It involves the analysis, design, and construction of foundations, slopes, retaining structures, and other systems that are made of or supported by soil or rock.

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