Mohr-Coulomb Theory is a mathematical model used to describe the response of materials, particularly soils and rocks, under shear stress, predicting failure when the stress state reaches a critical condition. It is characterized by the linear relationship between shear and normal stresses at failure, defined by material-specific parameters: cohesion and the angle of internal friction.

Mohr-Coulomb Theory

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

response of materials

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

Failure Prediction

critical condition

A linear relationship describes a direct proportionality between two variables, where a change in one variable results in a consistent change in the other. This relationship is graphically represented by a straight line on a Cartesian plane, characterized by its slope and intercept.

linear relationship

shear and normal stresses

material-specific parameters

Cohesion refers to the degree to which the elements of a module or system work together as a whole, enhancing its functionality and maintainability. High cohesion typically results in more robust, understandable, and reusable code or systems, as each component is focused on a single task or closely related tasks.

cohesion

The angle of internal friction is a measure of the shear strength of a material due to friction, representing the angle at which the material can withstand shear stress without failure. It is a critical parameter in geotechnical engineering, influencing the stability of slopes, retaining walls, and the bearing capacity of foundations.

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