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Two verification examples are undertaken with the trained ANN using the database created in this study.
Verification examples demonstrate the accurate capturing of plastic and elastic shock waves across approximately five computational cells.
Verification examples show that the floating node method can predict stress intensity factors and crack propagation accurately.
Finally, verification examples show that a complete system matrix formed in this way successfully gives accurate eigenvalues compared with FEM (ANSYS) and other methods.
Our verification examples, for three borehole orientations in transverse-isotropic, orthorhombic, and monoclinic media, show that these closed-form approximations provide good approximations for weak anisotropy conditions.
The paper concludes that the numerical simulation can predict the chloride diffusivity of concrete with an average relative error smaller than 6% for the two selected verification examples.
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This phenomenon can be treated as a good verification example for the classic Abbe-theory.
Finally, a verification example is given to show the effectiveness of the proposed new design techniques.
A verification example comparing the computational results with an analytical solution of a benchmark case is given.
In the final verification example, the pig skin experimental data was used to determine parameters of the hyper-viscoelastic model.
As a verification example, a central column of a semi-submersible structure is optimized and compared with a conventional optimization of all design variables at once.
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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