Sentence examples for of the nonlocal formulation from inspiring English sources

Figure 12 shows the numerical procedure of the nonlocal formulation.

Open image in new window Fig. 12 Numerical procedure of the nonlocal formulation.

Particularly, for a uniformly deformed plate with a homogeneous isotropic material, using the nonlocal formulation with the bounded domain reflects the physics of the problem better.

As a consequence, the nonlocal formulation is incorporated into Mazars damage model to overcome the problem.

In the proposed nonlocal formulation, the softening yield limit is a function of the spatially averaged nonlocal strains rather than the local strains, while the elastic strains are local.

This paper presents an analytical study of the onset of localisation of different nonlocal formulations for a beam under pure bending.

This paper discusses some new aspects of employing a three dimensional nonlocal formulation for analysis of plates, namely, the confining of the nonlocal kernel in the near-boundary regions at the two surfaces of the plate.

A nonlocal formulation of the finite element method is used throughout and a numerical application is presented and critically discussed with the aim to test the capability of the method in capturing the main features of the novel nonlocal limit analysis approach.

If a standard local formulation is used, this approach leads to a pathological mesh dependence, which can be eliminated by making use of alternative nonlocal formulations.

A thermodynamic approach is used to provide the variational formulation of the nonlocal model.

Starting from the convolution formulation of the nonlocal potential, for smooth and fast decaying densities, we make a full use of the Fourier pseudospectral (plane wave) approximation of the density and a separable Gaussian-sum approximation of the kernel in an interval where the singularity (the origin) is excluded.