000			02738nam a22002657a 4500
003			OSt
005			20250219213704.0
008			250219b |||||||| |||| 00| 0 hin d
020			_a9780367137205
040			_aNISER LIBRARY _beng _erda _cNISER LIBRARY
082	0	0	_a531.01 _bCAM-H
100	1		_aCampos, Luis Manuel Braga da Costa
245	1	0	_aHigher-order differential equations and elasticity
260			_aBoca Raton : _bCRC Press, Taylor & Francis Group, _c2020.
300			_axxix, 363 pages
490			_aMathematics and physics for science and technology
504			_aIncludes bibliographical references and index.
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.
650		0	_aElasticity _xMathematical models.
650		0	_aThermoelasticity _xMathematical models.
650		0	_aDifferential equations.
856			_3Table of content _uhttps://www.routledge.com/Higher-Order-Differential-Equations-and-Elasticity/BragadaCostaCampos/p/book/9780367137205#googlePreviewContainer
856			_3Reviews _uhttps://www.goodreads.com/book/show/42815245-higher-order-differential-equations-and-elasticity?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cBK
999			_c35710 _d35710