The internal force per unit area within a material that arises from external loads or defects.Stress is the internal force per unit area that develops within a material in response to external loads, temperature changes, or internal defects. It is a measure of how much force is transmitted through a material's cross-section, and it is crucial for understanding how materials deform, fracture, or flow. Stress is a tensor quantity, meaning it has both magnitude and direction, and it can be normal (perpendicular to a surface) or shear (parallel to a surface).
The concept of stress was formalized by Augustin-Louis Cauchy in the 1820s, who introduced the stress tensor and the equations of equilibrium. Earlier, Galileo Galilei had studied the strength of beams, but Cauchy's work laid the foundation for continuum mechanics.
When a force is applied to a material, the atoms or molecules shift slightly to resist the deformation, creating internal stresses. These stresses are balanced throughout the material, and their distribution determines whether the material will elastically return to its original shape, plastically deform, or break. The relationship between stress and strain (deformation) is described by Hooke's law for elastic materials, while more complex behaviors are modeled by plasticity and fracture mechanics.
Stress analysis is fundamental in civil engineering (designing buildings and bridges), mechanical engineering (ensuring machine parts don't fail), and materials science (developing stronger alloys and composites).
Diamond, the hardest natural material, can be made to emit light when subjected to stress, a phenomenon used to visualize stress patterns in transparent materials.





