000			02978cam a2200349 a 4500
003			EG-GiCUC
005			20250223031636.0
008			170105s2016 ua d f m 000 0 eng d
040			_aEG-GiCUC _beng _cEG-GiCUC
041	0		_aeng
049			_aDeposite
097			_aPh.D
099			_aCai01.12.17.Ph.D.2016.Wa.P
100	0		_aWael Mahmoud Mohamed
245	1	0	_aPropagation of nonlinear, coupled thermoelastic waves in elastic media under volume force and heat supply / _cWael Mahmoud Mohamed ; Supervised A. F. Ghaleb , A. A. Mosharafa , H.A.Z.Hassan
246	1	5	_aانتشار الموجات المرنة الحرارية غير الخطية المتزاوحة فى الأوساط المرنة تحت تأثير قوة حجمية ومصدر حرارى حجمى
260			_aCairo : _bWael Mahmoud Mohamed , _c2016
300			_a127 P. : _bcharts ; _c25cm
502			_aThesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics
520			_aAnumericalsolutionispresentedforfournonlinear, one-dimensionalboundary- value problems of thermoelasticity with variable volume force and heat supply inaslaborhalf-spaceofananisotropicelasticmaterial. Onesurfaceofthebody is subjected to a given periodic displacement and Robin thermal condition, while the other surface is kept {uFB01}xed and at zero temperature. The volume force and bulk heating simulate the e{uFB00}ect of a beam of hot particles in{uFB01}ltrating the medium and coming to rest in a layer adjacent to the boundary. Particular forms for the bulk force and heating functions are considered for de{uFB01}niteness, but other choices may be treated equally well. No phase transition is considered and the domain of the solution excludes any shock wave formation. The basic {uFB01}eld equations used in this thesis have been derived elsewhere (cf. [18]) on the basis of rigorous thermodynamics and are formulated in material coordinates, making them adequate for dealing with moving boundaries. As to the used numerical scheme, it {uFB01}nds its origin in [15,23{u2013}25] and was readapted in [62]. This is a three-level, iterative {uFB01}nite-di{uFB00}erence scheme. It has been shown to exhibit unconditional stability for the case of only one dis- placement component in [62]. This result was extended in the present Thesis to include the case of three displacement components. Based on the obtained results, the used numerical method reproduces correctly the di{uFB00}erent aspects of the process of coupled thermo-mechanical wave propagation.
530			_aIssued also as CD
653		4	_aElastic media
653		4	_aThermoelastic waves
653		4	_aVolume force and heat
700	0		_aAdel Attaya. Mosharafa , _eSupervisor
700	0		_aAhmed FouadGhaleb , _eSupervisor
700	0		_aHassan Ahmed Zaky Hassan , _eSupervisor
856			_uhttp://172.23.153.220/th.pdf
905			_aNazla _eRevisor
905			_aSoheir _eCataloger
942			_2ddc _cTH
999			_c59341 _d59341