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In engineering and materials science, a stress–strain curve for a material gives the relationship between stress and strain.It is obtained by gradually applying load to a test coupon and measuring the deformation, from which the stress and strain can be determined (see tensile testing).
Stress analysis is specifically concerned with solid objects. The study of stresses in liquids and gases is the subject of fluid mechanics.. Stress analysis adopts the macroscopic view of materials characteristic of continuum mechanics, namely that all properties of materials are homogeneous at small enough scales.
In continuum mechanics, stress is a physical quantity that describes forces present during deformation.For example, an object being pulled apart, such as a stretched elastic band, is subject to tensile stress and may undergo elongation.
The simplest hyperelastic material model is the Saint Venant–Kirchhoff model which is just an extension of the geometrically linear elastic material model to the geometrically nonlinear regime.