The existence of a mean-square continuous strong solution is established for vectorvalued Itô stochastic differential equations with a discontinuous drift coefficient, which is an increasing function, and with a Lipschitz continuous diffusion coefficient. A scalar stochastic differential equation with the Heaviside function as its drift coefficient is considered as an example. Upper and lower s...

Diagnostic technologies using X-rays and/or acoustic emissions for concrete infrastructures containing internal pores, defects, and cracks have attracted considerable interest. However, computerized tomography (CT) is challenging due to its radiation shielding characteristics. Electrical impedance (EIT), initially developed medical use, has recently shown a potential developing macro-CT techniq...

a truly meshless local petrov-galerkin (mlpg) method is developed for solving 3d elasto-static problems. using the general mlpg concept, this method is derived through the local weak forms of the equilibrium equations, by using test functions, namely, the heaviside function. the moving least squares (mls) are chosen to construct the shape functions, for the mlpg method. the penalty approximatio...

As a first endeavour, nonlinear dynamic response of the glass fibre-reinforced​ epoxy (GRE) laminated composite cylindrical shells under an impulse load is investigated based on first-order shear deformation theory (FSDT) shells. Green’s strain and von Kármán hypothesis are assumed to consider geometrical nonlinearity due large in model. A new solution procedure composed differential quadrature...

A methodology for solving three-dimensional crack problems with geometries that are independent of the mesh is described. The method is based on the extended 5nite element method, in which the crack discontinuity is introduced as a Heaviside step function via a partition of unity. In addition, branch functions are introduced for all elements containing the crack front. The branch functions incl...