scholarly journals A Study on Thermoelastic Interaction in a Poroelastic Medium with and without Energy Dissipation

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1286
Author(s):  
Tareq Saeed
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
The Finite Element Method ◽  
Governing Equations ◽  
Poroelastic Medium ◽  
Thermoelastic Medium ◽  
Finite Element Scheme ◽  
Element Scheme ◽  
Thermoelastic Interaction ◽  
Without Energy Dissipation

In the current work, a new generalized model of heat conduction has been constructed taking into account the influence of porosity on a poro-thermoelastic medium using the finite element method (FEM). The governing equations are presented in the context of the Green and Naghdi (G-N) type III theory with and without energy dissipations. The finite element scheme has been adopted to present the solutions due to the complex formulations of this problem. The effects of porosity on poro-thermoelastic material are investigated. The numerical results for stresses, temperatures, and displacements for the solid and the fluid are graphically presented. This work provides future investigators with insight regarding details of non-simple poro-thermoelasticity with different phases.

Numerical Simulation for Heat Transfer of Nanofluid in a Rotating Circular Groove Using a Continuous Finite Element Scheme

2014 ◽  
Vol 1081 ◽  
pp. 175-179 ◽  
Author(s):  
Yong Yue Jiang ◽  
Ping Lin ◽  
Bo Tong Li ◽  
Lin Li
Keyword(s):  
Heat Transfer ◽  
Finite Element ◽  
Power Law ◽  
Initial Time ◽  
The Finite Element Method ◽  
Finite Element Scheme ◽  
Element Scheme ◽  
Circular Groove ◽  
Power Law Fluids ◽  
Power Law Index

In this paper, we investigate the heat transfer of the power-law-fluids-based nanofluids in a rotating circular groove. The circular groove rotates with a constant speed and the temperature on the wall of the groove is different from the temperature inside in the initial time. The effects of thermophoresis and Brownian are considered. The thermal conductivity of the nanofluids is taken as a constant. We solve the model with the finite element method directly and discretize them using a continuous finite element scheme in space and a modified midpoint scheme in time. From the results we can find that the heat transfer enhancement of the nanofluids increases as the power law index of the base fluid decreases.

scholarly journals Modeling of linear dispersive materials using scalable time domain finite element scheme

2016 ◽  
Vol 65 (4) ◽  
pp. 719-732
Author(s):  
Bogusław Butryło
Keyword(s):  
Finite Element ◽  
Time Domain ◽  
Time Dependent ◽  
Dispersive Media ◽  
Benchmark Problem ◽  
The Finite Element Method ◽  
Finite Element Scheme ◽  
Element Scheme ◽  
Convolution Integrals ◽  
Element Algorithm

Abstract This paper deals with some aspects of formulation and implementation of a broadband algorithm with build-in analysis of some dispersive media. The construction of the finite element method (FEM) based on direct integration of Maxwell’s equations and solution of some additional convolution integrals is presented. The broadband, fractional model of permittivity is approximated by a set of some relaxation sub-models. The properties of the 3D time-dependent formulation of the FEM algorithm are determined using a benchmark problem with the Cole-Cole and the Davidson-Cole models. Several issues associated with the implementation and some constraints of the broadband finite element algorithm are presented.

SIMULATION OF LOADING OF THE BODY OF A DOUBLE-STOREY PASSENGER CAR IN A FOCAL FIRE WITH SPECIFIED CHARACTERISTICS

2020 ◽  
Author(s):  
Dmitriy Antipin ◽  
Mihail Bulychev ◽  
Gennadiy Petrov
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Carrying Capacity ◽  
Thermal Loading ◽  
The Body ◽  
Finite Element Scheme ◽  
Passenger Car ◽  
Element Scheme ◽  
Car Body ◽  
Element Method

A simplified method has been developed for assessing the loading of the load-bearing systems of passenger cars under thermal loading with a fire spot with limited properties. A system of simplifications for realizing a combustion spot is substantiated. A method for its implementation is proposed. The description of the object of research is given with the necessary thoroughness of presentation. A finite element scheme has been developed and adapted, taking into account the application of thermal loads in the system of an industrial software complex that implements the finite element method. Verification of the finite element scheme was carried out taking into account full-scale normative experiments. A conclusion is made about the possibility of the applicability of the finite element scheme for the study. Numerical experiments have been carried out to assess the carrying capacity of the body of a double-deck passenger car when it is exposed to a combustion center with known thermal parameters. The experiments were built and performed in a finite element method system. The results of simulations in the affected zone of the alleged fire were obtained for the conditional spot of its location. Comparison of the results with the static loading mode of the car body is considered. The analysis of the results obtained is carried out. A conclusion is given on the effect of a small localization fire on the carrying capacity of the car body. The proposed method is evaluated taking into account the possibility of further use

scholarly journals Finite element method with local damage of the mesh

2019 ◽  
Vol 53 (6) ◽  
pp. 1871-1891 ◽  
Author(s):  
Michel Duprez ◽  
Vanessa Lleras ◽  
Alexei Lozinski
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Piecewise Linear ◽  
A Priori ◽  
The Finite Element Method ◽  
Finite Element Scheme ◽  
Standard Finite Element Method ◽  
Element Matrix ◽  
Conditioning Number ◽  
Element Method

We consider the finite element method on locally damaged meshes allowing for some distorted cells which are isolated from one another. In the case of the Poisson equation and piecewise linear Lagrange finite elements, we show that the usual a priori error estimates remain valid on such meshes. We also propose an alternative finite element scheme which is optimally convergent and, moreover, well conditioned, i.e. the conditioning number of the associated finite element matrix is of the same order as that of a standard finite element method on a regular mesh of comparable size.

TORSIONAL ANALYSIS OF PIEZOELECTRIC HOLLOW BARS

2014 ◽  
Vol 06 (02) ◽  
pp. 1450019 ◽  
Author(s):  
A. TALEBANPOUR ◽  
M. R. HEMATIYAN
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Cross Section ◽  
Present Method ◽  
Electric Displacement ◽  
Potential Functions ◽  
The Finite Element Method ◽  
Governing Equations ◽  
Displacement Potential ◽  
Torsional Analysis

Analytical formulations are presented for Saint-Venant's torsion of orthotropic piezoelectric hollow members. It is assumed that the cross-section consists of straight and curved segments with the same thickness. Governing equations are based on Prandtl's stress and electric displacement potential functions. Some examples are solved using the presented formulations and verified by the finite element method solutions. The results show the accuracy of the present method for torsional analysis of thin- to moderately thick-walled hollow bars.

Modeling the Multiphysics Wrinkling Instability of Ionic Polymer Composite Plates for Artificial Muscle Applications

2016 ◽  
Author(s):  
John G. Michopoulos ◽  
Athanasios P. Iliopoulos
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Polymer Composite ◽  
Large Deflection ◽  
Numerical Solutions ◽  
Artificial Muscle ◽  
Composite Plates ◽  
The Finite Element Method ◽  
Governing Equations ◽  
Ionic Polymer

In this paper we first present the derivation of the governing equations that describe the multiphysics behavior of Ionic Polymer Composite Plates (IPMC). This is done in a manner that accounts for their non-linear large deflection deformation under the influence of mechanical, electrical, thermal and multicomponent mass transport fields. We subsequently present numerical solutions of the system of these equations via the use of the finite element method for a case of a specific rectangular plate. Emphasis is given in identifying the multiphysics based wrinkling instability behavior that manifest near the corners of these plates due to multiphysics stimuli.

scholarly journals Superconvergence of finite element method for parabolic problem

2000 ◽  
Vol 23 (8) ◽  
pp. 567-578 ◽  
Author(s):  
Do Y. Kwak ◽  
Sungyun Lee ◽  
Qian Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Parabolic Problem ◽  
Higher Order ◽  
Initial Condition ◽  
Finite Element Scheme ◽  
Element Scheme ◽  
Discrete Finite Element ◽  
Element Method

We study superconvergence of a semi-discrete finite element scheme for parabolic problem. Our new scheme is based on introducing different approximation of initial condition. First, we give a superconvergence ofuh−Rhu, then use a postprocessing to improve the accuracy to higher order.

The Stress of Sliding Vanes in a Rotary Compressor

2005 ◽  
Author(s):  
Yuan Mao Huang ◽  
Chien Liang Li
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Computer Program ◽  
Rotary Compressor ◽  
The Finite Element Method ◽  
Governing Equations ◽  
Good Agreement ◽  
Cover Plates ◽  
Element Method

A rotary sliding vane compressor was redesigned with extended rods on both edges of each vane and guide slots on both cover plates to improve its performance. The governing equations were derived to obtain loads acting on vanes and the stress of vanes. The finite element method is used with a generated computer program to determine the stress of vanes based on the calculated loads and the measured loads acting on the vanes. The results were compared and show good agreement with those obtained by using an existing software IDEAS.

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