The phrase "approximation of the material" is correct and usable in written English.
It can be used when discussing a close estimate or representation of a specific material in a scientific, technical, or academic context.
Example: "The approximation of the material's density was crucial for the calculations in our experiment."
Alternatives: "estimate of the material" or "representation of the material".
This confirms that the optimal model obtained in Case 1 is able to capture the overall variability of the real sample, and can then be used as an approximation of the real material.
Several extensions of the results derived for quadratic and cubic one-dimensional spectral elements are discussed, including higher order approximations, different periodicity of the material parameters and higher dimensions.
We found that endoscope was very effective in ensuring satisfactory approximation of graft material to the perforation margins in large and subtotal perforations as well.
First, results from generic FE simulations are presented to show how the stress state varies between the surface and the bulk material, and that plane strain is a satisfactory approximation of the conditions in the bulk material ("Generic FE simulations of the stress state" section).
Unfortunately, this study also involves several approximations in the material properties of soft tissues, with sutures assigned the mechanical property of connective tissue.
Using the material point method (MPM), we present a two-dimensional study, that albeit an approximation, sheds light on the role of the material composition in the fracture behavior observed in these ceramic materials.
We create a region of laminates of rank at most three, which gives a very good approximation of the optimal bound if the starting material has a moderate degree of anisotropy.
An important feature of the used analytical model was an approximation of the PDL as an almost incompressible material with a Poisson's ratio equal to 0.4 0.49 (Rees and Jacobsen 1997).
When the biology or anatomy are insufficient to attain a full repair, therapeutic use of graft material has been used to omit compliance features such as strain tolerance, reduced stiffness, and attenuated strength, and instead promote primary or membranous-type bone formation within the physical approximation of a graft material.
Differences occur because, for example, of incomplete description of the material of the detectors, approximations made to keep the computer time manageable, residual uncertainties in calibration and alignment, and discrepancies or limitations in the underlying theory and experimental data used to model the relevant collisions and decays.
