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Models without a specific industry focus are mainly based on such numerical examples (almost half of the modeling papers).
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Based on such a UMAT, a systematic numerical simulation is performed to investigate the deformation behaviors of BMG composites subjected to uniaxial tensile and compressive loadings.
Based on such a relation, and using recent numerical results for isotropic conductive composites, the antiplane effective properties are computed for different geometrical shapes of the empty-fiber cross-section.
The good agreement found was very satisfactory, in comparison with previous old and recent theoretical approaches, based on sophisticated numerical methods, such as the finite element method (FEM), the method of normal forms (MNF), and analytical methods, such as the perturbation method.
Being based on reliable numerical algorithms such as the singular value decomposition (SVD), subspace methods do not require nonlinear optimization and, thereby, are computationally efficient and stable without suffering from convergence problems.
To predict more accurately their deflected shape in larger working range, the analysis of compliant mechanisms has usually based on nonlinear numerical techniques such as the finite element method.
Based on some numerical techniques such as split-step Fourier transformation, fourth-order Runge Kutta and successive iteration method, the fundamental field was calculated from the known third-harmonic (TH) field in the process of TH generation (THG) using one doubling and one mixing KDP crystals.
The paper poked fun at a certain class of papers in theoretical physics of the day, which were purely speculative and based on spurious numerical arguments such as Arthur Eddington's attempts to explain the value of the fine structure constant from fundamental quantities in an earlier paper.
This is an important precondition to perform rock mass stability analysis of a dam foundation based on a numerical stress analysis software such as FLAC3D.
Such comparisons based on numerical solutions of simple one dimensional slab problems indicate the the potential superiority of the new estimators for a wide variety of more general transport problems.
A precision machine based on computer numerical control was designed and built to perform such an abrasion process.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com