Abstract Borehole breakout initiation, progression, and stabilization are modeled using a semi-analytical method based on Melentiev’s graphical conformal mapping procedure, Kolosov–Muskhelishvili complex stress potentials. The only input data required the elastic moduli of rock, Coulomb strength parameters (cohesion angle internal friction), far-field stresses. stresses around borehole wall com...

In the present study, a semi-analytical model based on small-amplitude wave theory is developed to describe fields around single gravity-type cylindrical open fish net cage. The cage may be submerged different depths below free-water surface. modelled as flexible porous membrane, and deflection of chamber expressed by transverse vibration equation strings. velocity potential expanded in form Fo...

The development of efficient computational models for the accurate prediction state variables in general composite laminated shells undergoing uniform edge loadings is a major challenge, especially when stress concentration phenomena such as free-edge effect have to be considered. This paper addresses this issue by introducing higher-order semi-analytical approach assessment three-dimensional f...

Based exclusively on the exact subdomain (SD) technique and finite-difference method (FDM), this article proposes a 2-D hybrid model (HAM) for semi-analytical magnetic field calculation in electrical machines at no-/on-load conditions. It is applied to dual-rotor permanent-magnet (PM) synchronous machines. The computed by solving Laplace’s Poisson’s equations through SD all regions unitary rela...

We present a coupled-mode model of transverse mode instability in high-power fiber amplifiers, which takes the effect of gain saturation into account. The model provides simple semi-analytical formulas for the mode instability threshold, which are valid also for highly saturated amplifiers. The model is compared to recently published detailed numerical simulations of mode instability, and we fi...

The climate change process is leading to an increase in the sea level and storm intensity. associated shoreline recession can damage coastal facilities also beaches protected by submerged/emerged breakwaters whose defense action become ineffective. application of cross-shore numerical models does not allow performance long-term analyses. In this paper, a semi-analytical model for evaluation due...

Perforated plates are widely used in thin-walled engineering structures, for example, lightweight designs of structures and access installation. For the purpose analysis, such perforated with two opposite free edges might be considered as a series successive Timoshenko beams. A new semi-analytical model was developed this study using shear beam theory critical buckling load plates, characterist...