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Boundary Element Model for Nonlinear Fractional-Order Heat Transfer in Magneto-Thermoelastic FGA Structures Involving Three Temperatures [chapter]

Mohamed Abdelsabour Fahmy
2019 Mechanics of Functionally Graded Materials and Structures [Working Title]  
So, we propose a new boundary element model for the solution of general and complex problems associated with this theory.  ...  The numerical results also confirm the validity and accuracy of our proposed model.  ...  Transient magneto- thermo-elastic stresses in an anisotropic viscoelastic solid with and without a moving heat source.  ... 
doi:10.5772/intechopen.88255 fatcat:hwtzsthiq5fw7mpbadu6fvvgzy

A 2-D Drbem for Generakized Magneto-Thermo-Viscoelastic Transient Response of Rotating Functionally Graded Aaisotropic Thick Strip

Mohamed Abdelsabour Fahmy
2013 International Journal of Engineering and Technology Innovation  
A numerical model based on the dual reciprocity boundary element method (DRBEM) is extended to study the generalized magneto thermo-viscoelastic transient response of rotating thick strip of functionally  ...  The accuracy of the proposed method was examined and confirmed by comparing to the obtained results with those known before.  ...  with one relaxation time and the Fourier's heat conduction equation is modified.  ... 
doaj:1b99f6ffb3f94e13bc1706d724297363 fatcat:rskwsqauxnclhjdvhsrydmx7va

Transient Heat Conduction of Variable Stiffness Composite Laminate

G. F. Abdelal, M. M. Abdalla, Z. Gürdal
2010 Journal of thermal stresses  
Tao Ren 15:30 Uncoupled quasi-steady thermoelastic stresses in semi-space heated by surface point-like heat source R. V. Goldstein and V.A.  ...  Li Uncoupled quasi-steady thermoelastic stresses in semi-space heated by surface point-like heat source; R.V. Goldstein, V.A.  ... 
doi:10.1080/01495730903454579 fatcat:skuktxowp5hexfzoebmxgu6tna

Computation of thermo-elastic deformations on machine tools a study of numerical methods

Andreas Naumann, Norman Lang, Marian Partzsch, Michael Beitelschmidt, Peter Benner, Axel Voigt, Jörg Wensch
2016 Production Engineering  
Finally, the paper concludes with a classification of the usability of the methods in real-time control and optimization tasks.  ...  Now for further advances, especially a detailed knowledge about the thermo-elastic behavior is needed, because the nowadays still existing deficits are mainly related to this.  ...  Acknowledgments The authors thank the German Research Foundation for funding this work within the CRC/TR 96 and ZIH for the provided computing resources.  ... 
doi:10.1007/s11740-016-0674-7 fatcat:k74xfj3nk5g3tcegi24nkpx72e

Challenges in Thermo-mechanical Analysis of Friction Stir Welding Processes

N. Dialami, M. Chiumenti, M. Cervera, C. Agelet de Saracibar
2016 Archives of Computational Methods in Engineering  
As a result, the analysis can deal with complex (non-cylindrical) pin-shapes and the extremely large deformation of the material at the HAZ without requiring any remeshing or remapping tools.  ...  A fully coupled thermo-mechanical framework is proposed for the computational modeling of the FSW processes proposed both at local and global level.  ...  If the global structure is considered, the size of the heat source is of the same dimension than the element size generally used for a thermo-mechanical analysis.  ... 
doi:10.1007/s11831-015-9163-y fatcat:tbgjnx5rondvtgtd4nty22nini

Effect Of Shell Dimensions On Buckling Behavior And Entropy Generation Of Thin Welded Shells

Sima Ziaee, Khosro Jafarpur
2011 Zenodo  
In this work, a 3-D thermo elastic-viscoplastic finite element analysis technique is applied to evaluate the effect of shell dimensions on buckling behavior and entropy generation of welded thin shells  ...  Also, in the present work, the approximated longitudinal transient stresses which produced in each time step, is applied to the 3D-eigenvalue analysis to ratify predicted buckling time and corresponding  ...  However, uncoupled thermo-mechanical analysis is used to save computational time. The mechanical properties are dependent on the temperature history as listed in Table II . VII.  ... 
doi:10.5281/zenodo.1075285 fatcat:rthr5orkivft7ir55x6j4n5dme

Challenges to Be Tackled in the Computational Modeling and Numerical Simulation of FSW Processes

Carlos Agelet De Saracibar
2019 Metals  
The computational modeling and numerical simulation of Friction Stir Welding (FSW) processes is an extremely challenging task due to the highly nonlinear and coupled nature of the physical problem and  ...  If the global structure is considered (global level analysis), the size of the heat source is of the same dimension than the element size generally used for a thermo-mechanical analysis.  ...  In this case, a moving heat power source is applied to a control volume representing the actual HAZ at each time-step of the analysis.  ... 
doi:10.3390/met9050573 fatcat:htmsvaw4afezxapsixudnpjaee

Integral representation for three-dimensional steady state size-dependent thermoelasticity [article]

Ali R. Hadjesfandiari, Arezoo Hajesfandiari, Gary F. Dargush
2017 arXiv   pre-print
Boundary element methods provide powerful techniques for the analysis of problems involving coupled multi-physical response, especially in the linear case for which boundary-only formulations are possible  ...  Then, an integral equation formulation for the three-dimensional isotropic case is derived, along with the corresponding singular infinite space fundamental solutions or kernel functions.  ...  Many articles have also appeared that employ boundary element methods to solve size-dependent elastic and thermoelastic problems within the framework of other non-classical theories, such as micropolar  ... 
arXiv:1704.02318v1 fatcat:csrahyypyfebnl5hbpdkl5wtpe

Analysis of Thermo-Piezoelectricity Problems by Meshless Method

Jan Sládek, Vladimír Sládek, Peter Staňák
2010 Acta Mechanica Slovaca  
Analysis of Thermo-Piezoelectricity Problems by Meshless Method In this paper meshless method based on the local Petrov-Galerkin approach is pesented for the solution of boundary value problems for coupled  ...  Transient dynamic governing equations are considered in analysis of the problems. Material properties of piezoelectric materials are influenced by a thermal field.  ...  ACKNOWLEDGEMENT The authors gratefully acknowledge the support by the Slovak Science and Technology Assistance Agency registered under number APVV-0427-07 and the Slovak Grant Agency VEGA-2/0039/09.  ... 
doi:10.2478/v10147-011-0030-z fatcat:xnq6gjojrjcutikrjghibfv3me

Thermo-elastodynamic response of a spherical cavity in saturated poroelastic medium

Ganbin Liu, Kanghe Xie, Rongyue Zheng
2010 Applied Mathematical Modelling  
Giraud et al. [20] analysed the case of a heat source that decreases exponentially with time by considering a low-permeability clay for nuclear waste disposal.  ...  As a consequence, a number of problems arises dealing with, among other issues, statics and strength, fluid flow and heat conduction, and dynamics.  ...  Acknowledgements The research was supported by National Natural Science Foundation of China (No. 40902089), project of Science and Technology 2008C31030 and Natural Science Foundation Y107637 of Zhengjiang  ... 
doi:10.1016/j.apm.2009.10.031 fatcat:7z6y4negrfdodcqkhsa6xqp4ty

A numerical algorithm for the full coupling of mechanical deformation, thermal deformation and phase transformation in surface grinding

M. Mahdi, L. Zhang
2000 Computational Mechanics  
This paper presents an algorithm to analyze the residual stresses induced by the full coupling of all the above causes of residual stresses involving signi®cant temperature-and microstructure-dependent  ...  List of symbols Cr 700 cooling rate at 700 C (degree/h) c speci®c heat capacity per unit volume  ...  space Fig. 3 . 3 Intersection of elastic stress increments with yielding in uniaxial tension Fig. 5 . 5 The consistent nodal forces and FEM boundary mesh sizeFig. 4a±d.  ... 
doi:10.1007/s004660000162 fatcat:3rihldm7ofaubij754ru6vb2um

A Variational Approach to Modeling Coupled Thermo-Mechanical Nonlinear Dissipative Behaviors [chapter]

Laurent Stainier
2013 Advances in Applied Mechanics  
This approach allows to reformulate boundary-value problems of coupled thermo-mechanics as an optimization problem of an energy-like functional.  ...  A particular focus is taken on thermo-visco-elasticity and thermo-visco-plasticity.  ...  Acknowledgements References ACKNOWLEDGEMENTS Part of this work was funded by the Re´gion des Pays de la Loire (under project VAMPS).  ... 
doi:10.1016/b978-0-12-396522-6.00002-5 fatcat:rtbl7czro5fendpssimwrp6uba

A direct finite element method study of generalized thermoelastic problems

Xiaogeng Tian, Yapeng Shen, Changqing Chen, Tianhu He
2006 International Journal of Solids and Structures  
By using the principle of virtual work, the finite element equations corresponding to the generalized thermoelasticity with two relaxation times (i.e., the G-L theory) are derived.  ...  The results demonstrate that the developed method can faithfully predict the deformation of the structure and most importantly the delicate second sound effect of heat conduction in both one and two-dimensional  ...  Acknowledgments This research was supported by the National Natural Science Foundation of China (10132010 and 10472089).  ... 
doi:10.1016/j.ijsolstr.2005.06.071 fatcat:tleahpabnjef5gr2kh54uo3svq

Survey of computer programs for heat transfer analysis

Ahmed K. Noor
1986 Finite elements in analysis and design  
dependent, time dependent properties and boundary conditions.  ...  heat generation, volumetric, time dependent , l Surface flux, time dependent 0 Contact co.efficient, ,constant l l Convective boundaries with and without fluid flow, natural and forced  ... 
doi:10.1016/0168-874x(86)90030-2 fatcat:jyixz7y63be6te7tnksrx2y42m

Thermal Shock Problem of Generalized Thermoelasticity for an Infinitely Long Annular Cylinder with Variable Thermal Conductivity

H.M. Youssef, I.A. Abbas
2007 Computational Methods in Science and Technology  
In this paper, a general finite element model is proposed to analyze transient phenomena in thermoelastic model in the context of the theory of generalized thermoelasticity with one relaxation time with  ...  An application of an infinitely long annular cylinder was studied, where the inner surface is traction free and subjected to thermal shock, while the outer surface is traction free and thermally isolated  ...  Due to symmetry, the problem is one-dimensional with all the functions considered depending on the radial distance r and the time t where 1 2 .  ... 
doi:10.12921/cmst.2007.13.02.95-100 fatcat:m3eunb55gvhmfcqs7i44zqjqja
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