Search
Search Results
-
A radial integration displacement discontinuity method with discontinuous isoparametric elements for 3D fracture simulations
To improve the accuracy of displacement discontinuity method and enhance its adaptivity, a general-purpose 3D displacement discontinuity method with...
-
On the Role of the Displacement Current and the Cattaneo’s Law on Boundary Layers of Plasma
In the present paper, we aim to mathematically analyse the role of the displacement current and the Cattaneo’s law on the boundary-layer theory of...
-
A phase-field model for simulating the propagation behavior of mixed-mode cracks during the hydraulic fracturing process in fractured reservoirs
A novel phase-field model for the propagation of mixed-mode hydraulic fractures, characterized by the formation of mixed-mode fractures due to the...
-
Contact Transformations in Theory of Frontal Oil Displacement
AbstractThe paper deals with Barenblat’s model of non-stationary two-phase filtration of oil and water with active reagents. This model describes...
-
Multi-field coupling and free vibration of a sandwiched functionally-graded piezoelectric semiconductor plate
Sandwiched functionally-graded piezoelectric semiconductor (FGPS) plates possess high strength and excellent piezoelectric and semiconductor...
-
On some mean field games and master equations through the lens of conservation laws
In this manuscript we derive a new nonlinear transport equation written on the space of probability measures that allows to study a class of...
-
An adaptive artificial viscosity for the displacement shallow water wave equation
The numerical oscillation problem is a difficulty for the simulation of rapidly varying shallow water surfaces which are often caused by the unsmooth...
-
Fourth-order phase-field modeling for brittle fracture in piezoelectric materials
Failure analyses of piezoelectric structures and devices are of engineering and scientific significance. In this paper, a fourth-order phase-field...
-
Thermal Bifurcation Model of Piezoelectric Nano Porous Metal Foam Nanobeam under Nonlinear Hygro-Thermal Field
Thermal bifurcation studies are conducted on piezoelectric humid thermal piezoelectric foam nanobeam with voids. Various porosity designs are...
-
Machine Learning Techniques to Model Highly Nonlinear Multi-field Dynamics
Modelling the dynamics of the membrane displacement in a micromachined beam fixed at both ends for different applied voltages is important for real...
-
Effects of Magnetic Field and Thermal Conductivity Variance on Thermal Excitation Developed by Laser Pulses and Thermal Shock
The current investigation is aimed to execute the influence of the magnetic field on the transient outcomes inside a semi-infinite medium with...
-
Resonance Oscillations of Gas in a Closed Tube in the Presence of a Heterogeneous Temperature Field
AbstractA numerical modeling of non-linear oscillations of gas in a closed tube in consideration of a heterogeneous temperature field was done. A...
-
Numerical Approximation of the Solution of an Obstacle Problem Modelling the Displacement of Elliptic Membrane Shells via the Penalty Method
In this paper we establish the convergence of a numerical scheme based, on the Finite Element Method, for a time-independent problem modelling the...
-
Integrated multi-scale approach combining global homogenization and local refinement for multi-field analysis of high-temperature superconducting composite magnets
Second-generation high-temperature superconducting (HTS) conductors, specifically rare earth-barium-copper-oxide (REBCO) coated conductor (CC) tapes,...
-
Stability analysis for a multi-layer Hele-Shaw displacement
A well known approximation for the displacement of two immiscible fluids in a porous medium is the Hele-Shaw model. In experiments it was observed...
-
Equilibrium Energies of Layered Composite and Two-Phase Media Under Periodic and Zero Boundary Conditions on Displacement Fields
Based on estimates for equilibrium energies for composite media with zero and periodic boundary conditions, we study the existence of an equilibrium...
-
Stability analysis of a liquid crystal elastomer self-oscillator under a linear temperature field
Self-oscillating systems abound in the natural world and offer substantial potential for applications in controllers, micro-motors, medical...
-
Multi-Valued Potentials in Topological Field Theory
In these lecture notes we review the original work of Riemann on multi-valued functions, Kelvin’s application to Green’s potential theory, and the...
-
Rate of Convergence in the Smoluchowski-Kramers Approximation for Mean-field Stochastic Differential Equations
In this paper we study a second-order mean-field stochastic differential systems describing the movement of a particle under the influence of a...
-
Displacement of surrounding rock in a deep circular hole considering double moduli and strength-stiffness degradation
The problem of cavity stability widely exists in deep underground engineering and energy exploitation. First, the stress field of the surrounding...