scholarly journals On the theory of thermoelastic materials with a double porosity structure

2021 ◽  
pp. 1-20
Author(s):  
Simona De Cicco ◽  
Dorin Ieşan
Keyword(s):  
Double Porosity ◽  
Porosity Structure

Harmonic vibrations in thermoelastic dynamics with double porosity structure

2018 ◽  
Vol 24 (8) ◽  
pp. 2410-2424 ◽  
Author(s):  
Olivia A Florea
Keyword(s):  
Conservation Laws ◽  
Double Porosity ◽  
Porosity Structure ◽  
Harmonic Vibrations ◽  
Time Problem

This paper is a study regarding the harmonic vibrations of materials with a double porosity structure. The amplitude of vibrations corresponding to the backward in time problem is analysed. The aim is to estimate the evolution of the amplitude and to obtain conservation laws.

scholarly journals Continuous dependence on modelling for temperature-dependent bidispersive flow

2017 ◽  
Vol 473 (2208) ◽  
pp. 20170485 ◽  
Author(s):  
Franca Franchi ◽  
Roberta Nibbi ◽  
Brian Straughan
Keyword(s):  
Temperature Effects ◽  
Continuous Dependence ◽  
Double Porosity ◽  
Interaction Coefficient ◽  
Solid Skeleton ◽  
Temperature Dependent ◽  
Porosity Structure ◽  
Viscosity Coefficients ◽  
The Third ◽  
Single Temperature

We consider a model for flow in a porous medium which has a double porosity structure. There is the usual porosity herein called macro porosity, but in addition, we allow for a porosity due to cracks or fissures in the solid skeleton. The cracks give rise to a micro porosity. The model considered also allows for temperature effects with a single temperature T . This paper analyses three aspects of structural stability. The first establishes continuous dependence of the solution on the interaction coefficient between the velocities associated with the macro and micro porosity. The second analyses continuous dependence on the viscosity coefficients, while the third establishes continuous dependence on the radiation constant when Newton’s law of cooling is involved on the boundary.

Some uniqueness results for thermoelastic materials with double porosity structure

2020 ◽  
Author(s):  
Anamaria N. Emin ◽  
Olivia A. Florea ◽  
Eduard M. Crăciun
Keyword(s):  
Double Porosity ◽  
Porosity Structure ◽  
Uniqueness Results

scholarly journals Effect of Hall Current in Thermoelastic Materials with Double Porosity Structure

2017 ◽  
Vol 22 (2) ◽  
pp. 303-319 ◽  
Author(s):  
R. Kumar ◽  
R. Vohra
Keyword(s):  
Normal Force ◽  
Hartmann Number ◽  
Hall Current ◽  
Double Porosity ◽  
Specific Model ◽  
Thermal Source ◽  
State Space Approach ◽  
One Dimensional ◽  
Porosity Structure ◽  
Space Approach

AbstractThe present investigation is concerned with one dimensional problem in a homogeneous, isotropic thermoelastic medium with double porosity structure in the presence of Hall currents subjected to thermomechanical sources. A state space approach has been applied to investigate the problem. As an application of the approach, normal force and thermal source have been taken to illustrate the utility of the approach. The expressions for the components of normal stress, equilibrated stress and the temperature change are obtained in the frequency domain and computed numerically. A numerical simulation is prepared for these quantities. The effect of the Hartmann number is depicted graphically on the resulting quantities for a specific model. Some particular cases of interest are also deduced from the present investigation.

On the consolidation behaviour of double-porosity geomaterials

2021 ◽  
Author(s):  
Jinhyun Choo
Keyword(s):  
Double Porosity ◽  
Plasticity Theory ◽  
Pore System ◽  
Porosity Structure ◽  
Second Stage ◽  
Modelling Framework ◽  
Solid Deformation ◽  
Structured Soils ◽  
Simulation Results

<p>Many natural and engineered geomaterials have double-porosity structure where two dominant pore systems coexist. Examples include structured soils where the two pore systems are inter-aggregate pores and intra-aggregate pores, and fissured rocks where the two pore systems are fissures and matrix pores. Although such double-porosity materials are frequently observed in geosciences and geoengineering applications, it remains mostly unclear how fluid flow and solid deformation interact differently in single- and double-porosity materials. The presentation explores this question through numerical simulation of consolidation – a paradigmatic problem in poromechanics – based on a recently developed modelling framework for fluid-infiltrated, inelastic materials with double porosity. Built on a combination of continuum principles of thermodynamics and standard plasticity theory, the framework can capture deformation, flow, and their coupling that occur individually in each pore system. Simulation results using this framework suggest that double-porosity structure gives rise to a two-staged consolidation behaviour, where the second stage appears similar to secondary compression in clays. It is also found that the simulated two-staged behaviour bears a striking semblance to experimentally observed consolidation processes in shales. These findings suggest that double-porosity structure may exert dominant control over the long-term hydro-mechanical behaviour of geomaterials.</p>

Effect of magnetic field on generalized thermoelastic medium with double porosity structure under L–S theory

2019 ◽  
Vol 94 (12) ◽  
pp. 1993-2004
Author(s):  
M. A. Abdou ◽  
Mohamed I. A. Othman ◽  
Ramadan S. Tantawi ◽  
Nehal T. Mansour
Keyword(s):  
Magnetic Field ◽  
Double Porosity ◽  
Thermoelastic Medium ◽  
Porosity Structure ◽  
Generalized Thermoelastic

scholarly journals Viscoelastic materials with a double porosity structure

2019 ◽  
Vol 347 (2) ◽  
pp. 124-140 ◽  
Author(s):  
Dorin Ieşan ◽  
Ramon Quintanilla
Keyword(s):  
Double Porosity ◽  
Viscoelastic Materials ◽  
Porosity Structure

Spatial Behavior in Thermoelastodynamics with Double Porosity Structure

2017 ◽  
Vol 09 (07) ◽  
pp. 1750097 ◽  
Author(s):  
Olivia Florea
Keyword(s):  
Upper Bound ◽  
Double Porosity ◽  
Spatial Behavior ◽  
Bounded Domains ◽  
Uniqueness Of Solutions ◽  
Porosity Structure ◽  
Time Problem

In the present study, we consider the theory of thermoelastodynamics with double porosity structure. Two situations are studied: for bounded domains, the impossibility of time localization of solutions is obtained, which is equivalent to the uniqueness of solutions for the backward in time problem. For the second study, in the case of semi-infinite cylinders, a Phragmen–Lindelof alternative, as well as an upper bound for the amplitude term when solutions decay, are obtained.

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