In this article, we study the classical solution of mixed problem in a quarter plane for one-dimensional wave equation. This models propagation displacement waves during longitudinal impact on bar, when load remains contact with bar and has linear elastic element at end. On lower boundary, Cauchy conditions are specified, second them discontinuity first kind one point. The boundary condition, i...

We propose a boundary-element-based method for crack problems in multilayered elastic medium that consists of set individually homogeneous strata. The divides the along slit-like surface so effects elements placed one become distinguishable from those other surface. As result, direct cannot be directly applied turns out to applicable. After that, we derive recursive formula obtains “stiffness m...

in this article, thermo-elastic-behavior of a thick-walled cylinder made from a polystyrene nanocomposite reinforced with functionally graded (fg) single-walled carbon nanotubes (swcnts) was carried out in radial direction while subjected to a steady state thermal field. the swcnts were assumed aligned, straight with infinite length and a uniform layout. two types of variations in the volume fr...

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...

This paper presents two views of stepwise enhancement, one a pragmatic syntax-based approach and the other a semantic approach based on higher-order functions and relating to shape and polytypism. The approaches are outlined, and the perhaps surprisingly close relationship between the two described. By combining the advantages of both approaches, it is shown how more code in both functional and...

Flexural toppling failure is a common mode of natural and artificial rock slopes, which has caused serious damage to human life property. In this work, an advanced numerical method called the Universal Distinct Element Code (UDEC) was used study mechanism flexural failure. total, more than twenty slope models were built analyzed. Two new parameters (displacement discontinuity transition coeffic...