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A stress–strain curve is plotted by the instrument and would look similar to the following: True stress-strain curve for a typical specimen. The compressive strength of the material corresponds to the stress at the red point shown on the curve. In a compression test, there is a linear region where the material follows Hooke's law.
Poisson's ratio. In materials science and solid mechanics, Poisson's ratio ν ( nu) is a measure of the Poisson effect, the deformation (expansion or contraction) of a material in directions perpendicular to the specific direction of loading. The value of Poisson's ratio is the negative of the ratio of transverse strain to axial strain.
The elasticity tensor is a fourth-rank tensor describing the stress-strain relation in a linear elastic material. [1] [2] Other names are elastic modulus tensor and stiffness tensor. Common symbols include and . The defining equation can be written as. where and are the components of the Cauchy stress tensor and infinitesimal strain tensor, and ...
Hence the strain in the beam may be expressed as = Stress-strain relations. For a homogeneous isotropic linear elastic material, the stress is related to the strain by =, where is the Young's modulus. Hence the stress in an Euler–Bernoulli beam is given by
The plateau in the simulated stress, starting at a strain of about 7, is the limiting value for the network. Stresses greater than about 7 MPa cannot be supported and the network fails. Near this stress limit, the simulations predict [12] that less than 10% of the chains are taut, i.e. in the high chain extension regime and less than 0.1% of ...
Plane stress typically occurs in thin flat plates that are acted upon only by load forces that are parallel to them. In certain situations, a gently curved thin plate may also be assumed to have plane stress for the purpose of stress analysis. This is the case, for example, of a thin-walled cylinder filled with a fluid under pressure.
Thermal stress. In mechanics and thermodynamics, thermal stress is mechanical stress created by any change in temperature of a material. These stresses can lead to fracturing or plastic deformation depending on the other variables of heating, which include material types and constraints. [1] Temperature gradients, thermal expansion or ...
Flow stress. In materials science the flow stress, typically denoted as Yf (or ), is defined as the instantaneous value of stress required to continue plastically deforming a material - to keep it flowing. It is most commonly, though not exclusively, used in reference to metals. On a stress-strain curve, the flow stress can be found anywhere ...