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Where the modulus M is the ratio of the casting's volume to its surface area: M = V A {\displaystyle M={\frac {V}{A}}} The mold constant B depends on the properties of the metal, such as density, heat capacity , heat of fusion and superheat, and the mold, such as initial temperature, density, thermal conductivity , heat capacity and wall thickness.
The extension ratio λ is related to the engineering strain e by = This equation implies that when the normal strain is zero, so that there is no deformation, the stretch ratio is equal to unity. The stretch ratio is used in the analysis of materials that exhibit large deformations, such as elastomers , which can sustain stretch ratios of 3 or ...
The rectangularly-framed section has deformed into a parallelogram (shear strain), but the triangular roof trusses have resisted the shear stress and remain undeformed. In continuum mechanics, shearing refers to the occurrence of a shear strain, which is a deformation of a material substance in which parallel internal surfaces slide past one another.
The power coefficient [9] C P (= P/P wind) is the dimensionless ratio of the extractable power P to the kinetic power P wind available in the undistributed stream. [ citation needed ] It has a maximum value C P max = 16/27 = 0.593 (or 59.3%; however, coefficients of performance are usually expressed as a decimal, not a percentage).
Strength depends upon material properties. The strength of a material depends on its capacity to withstand axial stress, shear stress, bending, and torsion.The strength of a material is measured in force per unit area (newtons per square millimetre or N/mm², or the equivalent megapascals or MPa in the SI system and often pounds per square inch psi in the United States Customary Units system).
As shown in the equations above, the use of the von Mises criterion as a yield criterion is only exactly applicable when the following material properties are isotropic, and the ratio of the shear yield strength to the tensile yield strength has the following value: [10]
For the simple shear case, it is just a gradient of velocity in a flowing material. The SI unit of measurement for shear rate is s −1, expressed as "reciprocal seconds" or "inverse seconds". [1] However, when modelling fluids in 3D, it is common to consider a scalar value for the shear rate by calculating the second invariant of the strain ...
In physics, Hooke's law is an empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, F s = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring.