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In continuum mechanics, the most commonly used measure of stress is the Cauchy stress tensor, often called simply the stress tensor or "true stress". However, several alternative measures of stress can be defined: [1] [2] [3] The Kirchhoff stress (). The nominal stress ().
The tensile strength can be quoted as either true stress or engineering stress, but engineering stress is the most commonly used. Fatigue strength is a more complex measure of the strength of a material that considers several loading episodes in the service period of an object, [ 6 ] and is usually more difficult to assess than the static ...
Tests that measure the engineering stress at the point of failure in a material are often sufficient for many routine applications, such as quality control in concrete production. However, determining the true stress in materials under compressive loads is important for research focused on the properties on new materials and their processing.
Stress has dimension of force per area, with SI units of newtons per square meter (N/m 2) or pascal (Pa). [1] Stress expresses the internal forces that neighbouring particles of a continuous material exert on each other, while strain is the measure of the relative deformation of the material. [3]
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.
Young's modulus is the slope of the linear part of the stress–strain curve for a material under tension or compression.. Young's modulus (or Young modulus) is a mechanical property of solid materials that measures the tensile or compressive stiffness when the force is applied lengthwise.
In this kind of experiment a periodic stress (or strain) is imposed on the system, and the phase lag of the strain (or stress) is determined. The stress can be written as a complex number σ = σ 0 a i ω t {\displaystyle \sigma =\sigma _{0}a^{i\omega t}} where σ 0 {\displaystyle \sigma _{0}} is the amplitude and ω {\displaystyle \omega } the ...
The stress is proportional to the strain, that is, obeys the general Hooke's law, and the slope is Young's modulus. In this region, the material undergoes only elastic deformation. The end of the stage is the initiation point of plastic deformation. The stress component of this point is defined as yield strength (or upper yield point, UYP for ...