Search
Search Results
-
A new stability result for swelling porous elastic media with structural dam**
In this paper we study the well-posedness as well as the stabilization properties of the swelling porous elastic media with structural dam** acting...
-
A general stability result for swelling porous elastic media with nonlinear dam** and nonlinear delay term
We consider a swelling porous-elastic system with single nonlinear dam** and nonlinear delay term in the elastic equation. We establish the general...
-
On a Lord–Shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability results
This work investigates the well-posedness and stability outcomes of the one-dimensional Cauchy problem within a system involving swelling-porous...
-
Simulation of Some Features of the Swelling in Porous Media
AbstractA results of experimental and theoretical study of clay swelling are presented in this work. The model is based on previously developed...
-
On the stability of swelling porous thermoelastic soils mixture with second sound
In this paper, we consider one-dimensional linear swelling porous thermoelastic soils system mixture with second sound, we first prove the...
-
Porous Elastic Soils with Fluid Saturation and Boundary Dissipation of Fractional Derivative Type
This paper deals with a one-dimensional system in the linear isothermal theory of swelling porous elastic soils subject to fractional derivative-type...
-
Transient swelling-induced finite bending of hydrogel-based bilayers: analytical and FEM approaches
Hydrogels with their time-dependent intrinsic behaviors have recently been used widely in soft structures as sensors/actuators. One of the most...
-
Transport Properties of Composite Materials
Composite materials constitute a large class of natural or man-made disordered media, which includes granular materials, composite solids,...
-
Wave Analysis and Representation of Fundamental Solution in Modified Couple Stress Thermoelastic Diffusion with Voids, Nonlocal and Phase Lags
AbstractIn the present study, we explored a new mathematical formulation involving modified couple stress thermoelastic diffusion (MCTD) with...
-
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...
-
Typical Applications of Fractional Differential Equations
Fractional differential equations can be used to describe the some complex physical and mechanics processes, memory property in the temporal domain,...
-
Hybrid Model of Bacterial Biofilm Growth
Bacterial biofilms play a critical role in environmental processes, water treatment, human health, and food processing. They exhibit highly complex...
-
Modeling Traumatic Brain Injuries, Aneurysms, and Strokes
Traumatic brain injuries (TBI), aneurysms and strokes are among the clinical conditions with the highest rates of fatality or long-term disability....
-
Multiple Scale Homogenisation of Nutrient Movement and Crop Growth in Partially Saturated Soil
In this paper, we use multiple scale homogenisation to derive a set of averaged macroscale equations that describe the movement of nutrients in...
-
An analytical poroelastic model for laboratorial mechanical testing of the articular cartilage (AC)
The articular cartilage (AC) can be seen as a biphasic poroelastic material. The cartilage deformation under compression mainly leads to an...
-
A Continuum Mechanics Model of Enzyme-Based Tissue Degradation in Cancer Therapies
We propose a mathematical model to describe enzyme-based tissue degradation in cancer therapies. The proposed model combines the poroelastic theory...
-
Direct and inverse problems of gas emission and the sorptive deformation of coal beds
Using the equations of state for fractured-porous media that describe the sorptioninduced deformation of coal, we develop a geomechanical model for...
-
Ion transport through deformable porous media: derivation of the macroscopic equations using upscaling
We study the homogenization (or upscaling) of the transport of a multicomponent electrolyte in a dilute Newtonian solvent through a deformable porous...
-
Numerical Analysis for an Energy-stable Total Discretization of a Poromechanics Model with Inf-sup Stability
We consider a previously proposed general nonlinear poromechanical formulation, and we derive a linearized version of this model. For this linearized...
-
Balance Laws
We adopt the view that growth is modeled by a multiplicative decomposition of the deformation gradient from an unstressed configuration to the...