elastic constant การใช้

• The RVE has the same elastic constants and fiber volume fraction as the composite.
• The three-dimensional elastic constants of materials can be measured using the composite materials.
• The elastic constants often change with depth, due to the changing properties of the material.
• The key result here is a negative elastic constant created from resonant frequencies of the material.
• It turns out that these are the material's mass density and its elastic constant.
• For a sphere of radius R and elastic constants E, \ nu this Hertzian solution reads:
• Rayleigh waves have a speed slightly less than shear waves by a factor dependent on the elastic constants of the material.
• Then apply a nonlinear inversion algorithm to find the elastic constants from the measured natural frequencies ( the inverse problem ).
• This happens for instance if the bodies are mirror-symmetric with respect to the contact plane and have the same elastic constants.
• In this case one may need to use the full tensor-expression of the elastic constants, rather than a single scalar value.
• Then, a minimization of the function F is sought by regressing the values of all the elastic constants using computer software developed for this process.
• Quartz has the further advantage that its elastic constants and its size change in such a way that the frequency dependence on temperature can be very low.
• Knowledge of the elastic constants can be used to feed back into models of the material's behaviour or that of the composite manufacturing process used.
• We use the linear compressibility of a cubic system 1 / ( c 11 + 2 c 12 ) where the c's are the elastic constants.
• For anisotropic solids, the elastic term depends on direction in a manner which can be predicted by elastic constants and how the lattice parameters vary with composition.
• Firstly solve the problem of calculating the natural frequencies in terms of sample dimensions, mass, and a set of hypothetical elastic constants ( the forward problem ).
• The inverse problem of deducing the elastic constants from a measured spectrum of mechanical resonances has no analytical solution, so it needs to be solved by computational methods.
• However, by the early 20th century no one had been able to determine the elastic constants of common rocks, because almost all rocks are slightly porous, complicating conventional elasticity measurement methods.
• It was named by UK Antarctic Place-Names Committee for Franco P . Jona, an American ( formerly Italian ) physicist who in 1951 made an accurate determination of the elastic constant of a single ice crystal.
• In studying double refraction, with his deduction of the elastic constants ( on which the optical properties depend ) Neumann employed the assumption that the symmetry of the elastic behavior of a crystal was equal to that of its form.