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Strictly speaking, the bulk modulus is a thermodynamic quantity, and in order to specify a bulk modulus it is necessary to specify how the pressure varies during compression: constant- temperature (isothermal ), constant- entropy (isentropic ), and other variations are possible. Such distinctions are especially relevant for gases.
The bulk modulus is an extension of Young's modulus to three dimensions. Flexural modulus ( E flex ) describes the object's tendency to flex when acted upon by a moment . Two other elastic moduli are Lamé's first parameter , λ, and P-wave modulus , M , as used in table of modulus comparisons given below references.
Elastic properties describe the reversible deformation (elastic response) of a material to an applied stress. They are a subset of the material properties that provide a quantitative description of the characteristics of a material, like its strength. Material properties are most often characterized by a set of numerical parameters called moduli.
The shear modulus is one of several quantities for measuring the stiffness of materials. All of them arise in the generalized Hooke's law: . Young's modulus E describes the material's strain response to uniaxial stress in the direction of this stress (like pulling on the ends of a wire or putting a weight on top of a column, with the wire getting longer and the column losing height),
The private prison industry has long fueled its growth on the proposition that it is a boon to taxpayers, delivering better outcomes at lower costs than state facilities. But significant evidence undermines that argument: the tendency of young people to return to crime once they get out, for example, and
The two parameters together constitute a parameterization of the elastic moduli for homogeneous isotropic media, popular in mathematical literature, and are thus related to the other elastic moduli; for instance, the bulk modulus can be expressed as K = λ + 2 / 3 μ.
The HuffPost/Chronicle analysis found that subsidization rates tend to be highest at colleges where ticket sales and other revenue is the lowest — meaning that students who have the least interest in their college’s sports teams are often required to pay the most to support them.
From April 2012 to December 2012, if you bought shares in companies when Ryan M. Lance joined the board, and sold them when he left, you would have a -19.0 percent return on your investment, compared to a 2.0 percent return from the S&P 500.