The trajectory of a hydraulically driven crack near natural fractures, faults, and inhomogeneities has been studied using the complex variable hypersingular boundary element technique. The crack trajectories are presented for the cases of an oblique and a steeply inclined fault. It has been demonstrated that natural fractures, faults, and other inhomogeneities generate unstable fracture conÞgur...

This study aims to validate ultrasonic anisotropy in 2-dimensional echocardiograms by one-to-one histological correlation. Thirteen echograms were obtained in vitro from 9 specimens of 2 left ventricles of healthy adult beagle dogs and were correlated with corresponding histology in regard to ultrasound orientation relative to the local fiber direction. Median value of pixel echogenicity (255-r...

In this paper, we study a multi-dimensional backward stochastic differential equation (BSDE) with oblique reflection, which is a BSDE reflected on the boundary of a special unbounded convex domain along an oblique direction, and which arises naturally in the study of optimal switching problem. The existence of the adapted solution is obtained by the penalization method, the monotone convergence...

Abstract. We present a phase-field model of fracture in ferroelectric single crystals for the simulation of conducting crack propagation under purely electrical loading. This is done by introducing the electrical enthalpy of a diffuse conducting layer into the phase-field formulation. Simulation results show an oblique crack propagation and crack branching from a conducting notch in a ferroelec...

Abstract It is shown that an oblique projection-based feedback control able to stabilize the state of Kuramoto–Sivashinsky equation, evolving in rectangular domains, a given time-dependent trajectory. The actuators consist finite number indicator functions supported small subdomains. Simulations are presented, one-dimensional case under periodic boundary conditions and two-dimensional Neumann c...

The organization of Ge ‘‘dome’’ islands in Ge/Si multilayers has been investigated by cross-sectional transmission electron microscopy. Ge domes are found to spontaneously arrange in oblique stacks, replicating at a well-defined angle from one bilayer to the next. The formation of oblique island stacks is governed by a complex interplay of surface strain, generated by the already buried islands...

This paper addresses a Three-Dimensional Loading Capacitated Vehicle Routing Problem (3L-CVRP) which combines a three-dimensional loading problem and vehicle routing problem in distribution logistics. The problem requires the combinatorial optimization of a feasible loading solution and a successive routing of vehicles to satisfy client demands, where all vehicles must start and terminate at a ...

OBJECTIVE To provide the off-loading knee brace was designed relief for the pain associated with osteoarthritis by reduce loads on the degenerative compartment of the knee. This study examined the effects of the off-loading knee brace on activation of femoral muscles during squatting, slow and fast walking exercise in healthy young individuals. METHOD Ten healthy male subjects without a histo...