Regularized Heaviside and Dirac delta function are used in several fields of computational physics and mechanics. Hence the issue of the quadrature of integrals of discontinuous and singular functions arises. In order to avoid ad-hoc quadrature procedures, regularization of the discontinuous and the singular fields is often carried out. In particular, weight functions of the signed distance wit...

This paper presents the boundary integral equation method (BIEM) for stress intensity factors and elasticity T-stresses evaluation in 3D problems. Flat rectangular, elliptic, penny-shaped cracks rectangular crack on a cylindrical surface have been investigated. The hyper-singular integrals are treated with Taylor’s series expansion of kernel, Chebyshev polynomials second kind used to solve equa...

The Lüders plateau behaviour is a phenomenon of stress discontinuity associated with strain localisation which can affect the fracture mild steel subjected to plastic strains. Together experimental studies biaxial loading tests digital image correlation (DIC), this work considers effect on mechanical L450 loading, using so-called “up-down-up” (UDU) constitutive model in finite element analyses ...

The permeability and coupled behavior of pore pressure and deformations play an important role in hydraulic fracturing (HF) modeling. In this work, a poroelastic displacement discontinuity method is used to study the permeability effect on the HF development in various formation permeabilities. The numerical method is verified by the existing analytical and experimental data. Then the propagati...

Abstract A pre-existing plane of weakness along the fault is comprised a particular pattern joints dipping at different orientations. The stress state, partially defined by orientation fault, determines potential slip failure and hence evolution permeability. Here influence on permeability was investigated direct fluid injection inside with three sets orientations (45°, 60° 110°), through coupl...

Among the available technologies such as cables and lasers, the Global Positioning System (GPS) is being increasingly used for automated continuous monitoring of landslides and avalanches. The timely identification of precursory movements of landslides could save lives and minimise collateral damage. Carrier-phase observations from four or more GPS satellites allow relative displacements to be ...

This letter reports a multiplexed optical displacement sensor using a thin core fiber (TCF) exciter. The TCF exciter is followed by a stripped single mode optical fiber. A small section of buffer is used as the movable component along the single mode fiber. Ultra-weak cladding mode reflection (< - 75 dB) was employed to probe the refractive index discontinuity between the air and buffer coating...

We introduce the notion of time continuity for the analysis of cohesive zone interface finite element models. We focus on “initially rigid” models in which an interface is inactive until the traction across it reaches a critical level. We argue that methods in this class are time discontinuous, unless special provision is made for the opposite. Time discontinuity leads to pitfalls in numerical ...