journal article·2021Open access

A New BEM for Fractional Nonlinear Generalized Porothermoelastic Wave Propagation Problems

Mohamed Abdelsabour Fahmy

Computers, Materials & Continua· Volume 68· Issue 1

Abstract

No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.

Source: Not provided · Quality: missing

Research context

OpenAlex topics: Numerical methods in engineering · Thermoelastic and Magnetoelastic Phenomena · Ultrasonics and Acoustic Wave Propagation

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (47)

Show source-provided references
1. Oldham · The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order · 2006 · 111 · 1
2. On the fractional calculus model of viscoelastic behavior10.1122/1.549887 ↗
3. Digital computation of the fractional Fourier transform10.1109/78.536672 ↗
4. Analysis and design of fractional-order digital control systems
5. Kilbas · Theory and Applications of Fractional Differential Equations · 2006 · 204 · 44910.1016/S0304-0208(06)80009-5 ↗
6. Sabatier · Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering · 2007 · 1 · 169
7. Which differintegration? [fractional calculus]10.1049/ip-vis:20045049 ↗
8. Generalized compound quadrature formulae for finite-part integrals10.1093/imanum/17.3.479 ↗
9. Surpassing the fractional derivative: concept of the memory-dependent derivative10.1016/j.camwa.2011.04.028 ↗
10. Fractional thermoelasticity revisited with new definitions of fractional derivative10.1016/j.euromechsol.2020.104043 ↗
11. Solution of the generalized problem of thermoelasticity in the form of series of functions10.1080/01495739408946247 ↗
12. Fundamental solution in generalized magneto-thermoelasticity with two relaxation times for perfect conductor cylindrical region10.1016/j.ijengsci.2003.09.013 ↗
13. The effect of rotation and inhomogeneity on the transient magneto-thermoviscoelastic stresses in an anisotropic solid10.1115/1.4006258 ↗
14. Memory-dependent derivatives theory of thermo-viscoelasticity involving two-temperature10.1007/s12206-015-0924-1 ↗
15. Wave propagation in a magneto-micropolar thermoelastic medium with two temperatures for three-phase-lag model
16. Constitutive relations, uniqueness of solution, and thermal shock application in the linear theory of micropolar generalized thermoelasticity involving two temperatures10.1080/01495730903542829 ↗
17. A time-stepping DRBEM for magneto-thermo-viscoelastic interactions in a rotating nonhomogeneous anisotropic solid10.1142/S1758825111001202 ↗
18. A time-stepping DRBEM for the transient magneto-thermo-visco-elastic stresses in a rotating non-homogeneous anisotropic solid10.1016/j.enganabound.2011.09.004 ↗
19. Brebbia · Boundary Element Techniques in Engineering · 1980 · 1 · 15110.1016/B978-0-408-00340-7.50009-1 ↗
20. Computer implementation of the BEM dual reciprocity method for the solution of general field equations10.1002/cnm.1630060204 ↗
21. Shape design sensitivity and optimization of anisotropic functionally graded smart structures using bicubic B-splines DRBEM10.1016/j.enganabound.2017.11.005 ↗
22. Shape design sensitivity and optimization for two-temperature generalized magneto-thermoelastic problems using time-domain DRBEM10.1080/01495739.2017.1387880 ↗
23. Boundary element algorithm for modeling and simulation of dual-phase lag bioheat transfer and biomechanics of anisotropic soft tissues10.1142/S1758825118501089 ↗
24. A new boundary element strategy for modeling and simulation of three temperatures nonlinear generalized micropolar-magneto-thermoelastic wave propagation problems in FGA structures10.1016/j.enganabound.2019.08.006 ↗
25. Boundary element analysis of nonlinear transient heat conduction problems involving non-homogenous and nonlinear heat sources using time-dependent fundamental solutions10.1016/j.enganabound.2010.02.004 ↗
26. Boundary element algorithm for nonlinear modeling and simulation of three-temperature anisotropic generalized micropolar piezothermoelasticity with memory-dependent derivative10.1142/S1758825120500271 ↗
27. Efficient 2D analysis of interfacial thermoelastic stresses in multiply bonded anisotropic composites with thin adhesives10.32604/cmc.2020.010417 ↗
28. Propagation of a thermoelastic wave in a half-space of a homogeneous isotropic material subjected to the effect of rotation and initial stress10.32604/cmc.2020.08420 ↗
29. Analysis of a fully wetted moving fin with temperature-dependent internal heat generation using the finite element method10.1002/htj.21701 ↗
30. Finite volume method for analysis of convective longitudinal fin with temperature-dependent thermal conductivity and internal heat generation10.4028/www.scientific.net/DDF.374.106 ↗
31. Thermoelastic analysis of functionally graded porous materials with temperature-dependent properties by a staggered finite volume method10.1016/j.compstruct.2019.111071 ↗
32. Finite-volume-based conservative numerical scheme in cylindrical coordinate system to predict material removal during micro-EDM on Inconel 71810.1007/s40430-019-2161-5 ↗
33. Koprowski · Fractal Analysis-Selected Examples · 2020 · 56
34. Cattaneo · Sur une forme de i’equation de la chaleur elinant le paradox d’une propagation instantanc, Comptes rendus de l’Académie des Sciences · 1958 · 247 · 431
35. Ezekoye · Conduction of Heat in Solids · 2016
36. Wrobel · The boundary Element Method: Applications in Thermo-Fluids and Acoustics · 2002 · 1 · 97
37. Exact transformation of a wide variety of domain integrals into boundary integrals in boundary element method10.1002/cnm.1047 ↗
38. A general method for evaluation of 2D and 3D domain integrals without domain discretization and its application in BEM10.1007/s00466-006-0050-0 ↗
39. A new method for meshless integration in 2D and 3D Galerkin meshfree methods10.1016/j.enganabound.2009.07.008 ↗
40. Liu · An Introduction to Meshfree Methods and Their Programming · 2005
41. Fluid-structure interaction using a partitioned semi-implicit predictor-corrector coupling scheme for the application of large-eddy simulation10.1016/j.jfluidstructs.2011.09.003 ↗
42. The generalized modified shift-splitting preconditioners for nonsymmetric saddle point problems10.1016/j.aml.2016.03.011 ↗
43. Green · Perry’s Chemical Engineer’s Handbook · 2007 · 1 · 2205
44. Elastic constants determination of anisotropic materials by depth-sensing indentation10.1007/s42452-019-1301-y ↗
45. A novel BEM for modeling and simulation of 3T nonlinear generalized anisotropic micropolar-thermoelasticity theory with memory dependent derivative10.32604/cmes.2021.012218 ↗
46. Awrejcewicz · Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members: Applications of the Bubnov-Galerkin and Finite Difference Methods · 202010.1007/978-3-030-37663-5 ↗
47. The nonlinear response of Cattaneo-type thermal loading of a laser pulse on a medium using the generalized thermoelastic model10.1016/j.taml.2020.01.030 ↗