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008			191107s2019 flu ob 001 0 eng
040			_aOCoLC-P _beng _erda _cOCoLC-P
020			_a9780429029691 (electronic bk)
020			_a0429029691 (electronic bk)
020			_a9780429644177 _q(electronic bk. : PDF)
020			_a0429644175 _q(electronic bk. : PDF)
020			_a9780429643934 _q(electronic bk. : Mobipocket)
020			_a0429643934 _q(electronic bk. : Mobipocket)
020			_a9780429644054 _q(electronic bk. : EPUB)
020			_a0429644051 _q(electronic bk. : EPUB)
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035			_a(OCoLC)1127538672
035			_a(OCoLC-P)1127538672
050		4	_aQA931 _b.C36 2019
072		7	_aMAT _x003000 _2bisacsh
072		7	_aMAT _x007000 _2bisacsh
072		7	_aMED _x000000 _2bisacsh
072		7	_aTBJ _2bicssc
082	0	4	_a531/.3820151535 _223
100	1		_aCampos, Luis Manuel Braga da Costa, _eauthor.
245	1	0	_aHigher-order differential equations and elasticity / _cLuis Manuel Braga da Campos.
264		1	_aBoca Raton : _bCRC Press, Taylor & Francis Group, _c[2019]
300			_a1 online resource (pages cm.)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
520			_aHigher-Order Differential Equations and Elasticity is the third book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This third book consists of two chapters (chapters 5 and 6 of the set). The first chapter in this book concerns non-linear differential equations of the second and higher orders. It also considers special differential equations with solutions like envelopes not included in the general integral. The methods presented include special differential equations, whose solutions include the general integral and special integrals not included in the general integral for myriad constants of integration. The methods presented include dual variables and differentials, related by Legendre transforms, that have application in thermodynamics. The second chapter concerns deformations of one (two) dimensional elastic bodies that are specified by differential equations of: (i) the second-order for non-stiff bodies like elastic strings (membranes); (ii) fourth-order for stiff bodies like bars and beams (plates). The differential equations are linear for small deformations and gradients and non-linear otherwise. The deformations for beams include bending by transverse loads and buckling by axial loads. Buckling and bending couple non-linearly for plates. The deformations depend on material properties, for example isotropic or anisotropic elastic plates, with intermediate cases such as orthotropic or pseudo-isotropic. Discusses differential equations having special integrals not contained in the general integral, like the envelope of a family of integral curves Presents differential equations of the second and higher order, including non-linear and with variable coefficients Compares relation of differentials with the principles of thermodynamics Describes deformations of non-stiff elastic bodies like strings and membranes and buckling of stiff elastic bodies like bars, beams, and plates Presents linear and non-linear waves in elastic strings, membranes, bars, beams, and plates
588			_aOCLC-licensed vendor bibliographic record.
650		0	_aElasticity _xMathematical models.
650		0	_aThermoelasticity _xMathematical models.
650		0	_aDifferential equations.
650		7	_aMATHEMATICS / Applied _2bisacsh
650		7	_aMATHEMATICS / Differential Equations _2bisacsh
650		7	_aMEDICAL / General _2bisacsh
856	4	0	_3Taylor & Francis _uhttps://www.taylorfrancis.com/books/9780429029691
856	4	2	_3OCLC metadata license agreement _uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
999			_c130242 _d130242