We introduce a domain decomposition structure-preserving method based on hybrid mimetic spectral element for three-dimensional linear elasticity problems in curvilinear conforming structured meshes. The is an equilibrium which satisfies pointwise of forces. established through hybridization first allows inter-element normal stress discontinuity and then enforces the continuity using Lagrange mu...

The study of rock fractures is essential in evaluating stability of underground structures, understanding earthquakes, and assessing storage and transport of oil and gas in rock formations. Geophysical monitoring techniques, particularly compressional and shear wave propagation, can probe the internal structure of rock and fractures remotely and nondestructively and can provide insight into fra...

In this paper, periodic motions in a periodically excited, Duffing oscillator with a time-delayed displacement are investigated through the Fourier series, and the stability and bifurcation of such periodic motions are discussed through eigenvalue analysis. The time-delayed displacement is from the feedback control of displacement. The analytical bifurcation trees of period-1 motions to chaos i...

A hierarchical block-matching motion tracking algorithm for strain imaging is presented. Displacements are estimated with improved robustness and precision by utilizing a Bayesian regularization algorithm and an unbiased subsample interpolation technique. A modified least-squares strain estimator is proposed to estimate strain images from a noisy displacement input while addressing the motion d...

New derivations of Young–Laplace’s and Young’s equations for a liquid drop deposited on a smooth solid substrate are presented, based on an integral form of equilibrium conditions applied to appropriately selected finite portions of the drop. A simple proof for the gravity independence of the contact angle is constructed and compared with a commonly utilized but more involved proof based on the...

OBJECTIVES The purpose of this retrospective study is to find the differentiating characteristics of cystic and cystic-appearing lesions that involve the impacted mandibular third molar by analyzing panoramic radiographs and computed tomography images, and to aid the preoperative diagnosis. MATERIALS AND METHODS Eighty-one patients who had a mandibular cystic or cystic-appearing lesion that i...

We study the problem of a temporal discontinuity in permittivity an unbounded medium with Lorentzian dispersion. More specifically, we tackle situation which monochromatic plane wave forward-traveling (generally lossy) Lorentzian-like scatters from interface that results instantaneous and homogeneous abrupt change its plasma frequency (while keeping resonance constant). In order to achieve mome...

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...

Variational phase-field models of fracture are widely used to simulate nucleation and propagation cracks in brittle materials. They based on the approximation solutions a free-discontinuity energy by two smooth function: displacement damage field. Their numerical implementation is typically discretization both fields nodal $$\mathbb {P}^1$$ Lagrange finite elements. In this article, we propose ...