This paper shows the advantages of the material failure process simulation by improve finite elements with embedded discontinuities, using a new definition of traction vector, dependent on the discontinuity length and the angle. Particularly, two families of this kind of elements are compared: kinematically optimal symmetric and statically and kinematically optimal non-symmetric. The constituti...

Flexible boundary-condition methods couple an isolated defect to bulk through the bulk lattice Green's function. Direct computation of the lattice Green's function requires projecting out the singular subspace of uniform displacements and forces for the infinite lattice. We calculate the convergence rates for elastically isotropic and anisotropic cases for three different techniques: relative d...

A boundary element method (BEM) combined with a linear slip boundary condition is proposed to calculate SH wave scattering from fractures. The linear slip boundary condition was proposed by Schoenberg (1980) to model elastic wave propagation through an imperfectly bonded interface, where the traction cross the interface is continuous and displacement is discontinuous. Here, we demonstrate how t...

In this paper, a self-consistent boundary element method is introduced to predict overall properties of a cracked bimaterial plate. The boundary element (BE) formulation is developed based on Green’s function for displacement discontinuity of a bimaterial solid and potential variational principles. The self-consistent method is then introduced into the BE formulation to provide an effective mea...

In this study we explore the use of a novel numerical modelling approach to effect pillar reinforcement on stability. Case studies in literature indicate that tendons, strapping pillars, and shotcrete or thin spray-on liners are commonly used reinforce pillars. No clear methodology exists select type support design capacity required, however. This has led ongoing collapses some mines spite heav...

This paper discusses numerical modeling and experimental results on stress transfer in wood composites. The numerical model treats adhesive bonds using the concept of an imperfect interface. The displacement discontinuity at an imperfect interface is proportional to the tractions at the interface. A stiff interface will result in little discontinuity and maximum translation of wood component me...

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...