Sentence examples for continuous at the from inspiring English sources

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Finally, the 3D intensities of the singularity for stress components which are continuous at the interface are newly defined and determined for various material combinations.

To establish a stress field that is continuous at the mutual nodes of the adjacent elements, a C1-continuous 3D Hermitian element is employed to discretize the plate.

Our results indicate that in all cases the displacement field is bounded and continuous at the point of application of the concentrated loads.

The symmetric material distribution is defined to be C0 continuous at the material interface and thereby yields a more accurate description for symmetric BDFG beam types.

In this theory, the transverse shear stresses are continuous at the layer interfaces with stress free conditions at plate top and bottom surfaces.

For built-up structures with strain discontinuity, the local sensitivity variables are not continuous at the joints, requiring special treatment to assemble the elemental local sensitivities and the generalized force vector.

The problem is modeled by assuming that the elastic properties of the FGM layer are exponential functions of the thickness coordinate and are continuous at the interface of the FGM layer and the half-plane.

For the special case of the nonhomogeneous bimaterial with continuous material properties at the interface, it is shown in this study that all magnetoelectroelastic fields are continuous at the interface.

The displacement is assumed to possess a Heaviside jump at the localization interface and the strain becomes bounded measure including a Dirac-delta function, but the traction must be continuous at the localization interface.

In the present work we derive two new approximate relations for determining the damping coefficient and duration of contact for a specific non-linear soft-sphere contact model where the contact force is continuous at the start and end of the contact.

In contrast, the function that equals 0 for x less than or equal to 1 and that equals 2 for x larger than 1 is not continuous at the point x = 1, because the difference between the value of the function at 1 and at any point ever so slightly greater than 1 is never less than 2. A function is said to be continuous if and only if it is continuous at every point of its domain.

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