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At the microscopic scale the two solids are described by the linear elastic equations, and the fluid by the linearized Navier Stokes equations, with appropriate boundary conditions at the solid solid and solid fluid interfaces.
Fig. 11 Comparison of the performances of the different joint designs, as determined by the linear elastic and non-linear analyses.
The relationship between the yielded zone area calculated by the elastoplastic model and the pseudo-yielded zone area calibrated by the linear elastic model is statistically investigated.
In order to ensure consistency throughout the database, the actual hysteretic behaviour of the walls was approximated by the linear elastic, ideal plastic bilinear envelope illustrated in Figure 1 (Tomazevic 1999).
Numerical fatigue delamination problem is solved by the linear elastic fracture mechanics theory applied together with the classical finite element method, which is done thanks to the commercial engineering analysis package ANSYS.
Results show that the singular stress field predicted by the linear elastic solution for the rigid inclusion model can be generated in reality, with great accuracy, within a material.
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By applying the linear elastic fracture mechanics approach, the crack criticality in terms of the stress intensity factors is identified.
The integrated chimney foundation soil system was analysed based on direct method of SSI by assuming the linear elastic behaviour of the whole system.
By exploiting of the linear elastic nature of structure, Monte Carlo sampling is completely separated from the topology optimization process, thus accurate calculation of objective function becomes possible.
By properly superposing the linear elastic solutions of flat and cylindrical indentations, the approximate solution to the adhesive JKR contact state between elastic films coated on rigid cylinders was also obtained, of which the relations between applied force, penetration depth, and contact width were expressed in terms of the geometric parameters and elastic constants of the two elastic films.
The optimum design of the leaf spring was determined by considering five criteria within the linear elastic region of the eight leaf spring models.
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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