In this chapter, we extend the first-order NOM to higher order by using a Taylor series expansion. The is special case of NOM. can be derived two methods, one weighted expansion, and other minimization operator energy functional for For quadratic functional, residual, tangent stiffness matrix nonlocal strong form. section on numerical examples, applied current method problems formulated form we...

Perrin et al. (1995) and Geubelle and Rice (1995) have introduced a spectral method for numerical solution of twoand three-dimensional elastodynamic fracture problems. The method applies for ruptures confined to a plane separating homogeneous elastic half spaces. In this method, the physical variables, such as the traction components of stress and displacement discontinuity on the rupture plane...

Displacement–length data from faults, joints, veins, igneous dikes, shear deformation bands, and compaction bands define two groups. The first group, having a power-law scaling relation with a slope of n1⁄4 1 and therefore a linear dependence of maximum displacement and discontinuity length (Dmax1⁄4 gL), comprises faults and shear (non-compactional or non-dilational) deformation bands. These sh...

In this paper we propose an extension to the work of Lischinski et al [1] on combining hierarchical radiosity method and discontinuity meshing. The extension proposed here supports higher order radiosity function at the es timation s tep itself. We have carried out this extension using M ultiWavelet basis function s. Unlike th e multi-wavelet radiosity work of Gortler et al [2] which uses reg u...

A condition for the emergence of a discontinuity in an elastic peridynamic body is proposed, resulting in a material stability condition for crack nucleation. The condition is derived by determining whether a small discontinuity in displacement, superposed on a possibly large deformation, grows over time. Stability is shown to be determined by the sign of the eigenvalues of a tensor field that ...

Here 3D larynx models whose viscoelastic properties of the superficial tissues of the true vocal folds were altered in specific regions at the glottis producing different left-right fold asymmetries are analyzed. The idea is to initiate studies about the dynamic of larynges under possible pathological conditions. All simulations used a strategy based on the finite element method to solve a flui...