The radially nonhomogeneous elastic axisymmentric problem

Theotokoglou, EE; Stampouloglou, IH

dc.contributor.author	Theotokoglou, EE	en
dc.contributor.author	Stampouloglou, IH	en
dc.date.accessioned	2014-03-01T01:29:20Z
dc.date.available	2014-03-01T01:29:20Z
dc.date.issued	2008	en
dc.identifier.issn	0020-7683	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19228
dc.subject	Axisymmetric problem	en
dc.subject	Hollow cylinder	en
dc.subject	Homogeneous differential equation	en
dc.subject	Linear elasticity	en
dc.subject	Radially nonhomogeneous	en
dc.subject	Stress function	en
dc.subject.classification	Mechanics	en
dc.subject.other	Circular cylinders	en
dc.subject.other	Cylinders (shapes)	en
dc.subject.other	Elastic moduli	en
dc.subject.other	Elasticity	en
dc.subject.other	Linear equations	en
dc.subject.other	Poisson distribution	en
dc.subject.other	Poisson equation	en
dc.subject.other	Poisson ratio	en
dc.subject.other	Probability density function	en
dc.subject.other	Stiffness matrix	en
dc.subject.other	Stresses	en
dc.subject.other	Axisymmetric problem	en
dc.subject.other	Hollow cylinder	en
dc.subject.other	Homogeneous differential equation	en
dc.subject.other	Linear elasticity	en
dc.subject.other	Radially nonhomogeneous	en
dc.subject.other	Stress function	en
dc.subject.other	Problem solving	en
dc.title	The radially nonhomogeneous elastic axisymmentric problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijsolstr.2008.08.011	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijsolstr.2008.08.011	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	The plane axisymmetric problem with axisymmetric geometry and loading is analyzed for a radially nonhomogeneous circular cylinder, in linear elasticity. Considering the radial dependence of the stress, the displacements fields and of the stiffness matrix, after a series of admissible functional manipulations, the general differential system solving the problem is developed. The isotopic radially inhomogeneous elastic axisymmetric problem is also analyzed. The exact elasticity solution is developed for a radially nonhomogeneous hollow circular cylinder of exponential Young's modulus and constant Poisson's ratio and of power law Young's modulus and constant Poisson's ratio. For the isotropic elastic axisymmetric problem, a general expression of the stress function is derived. After the satisfaction of the biharmonic equation and making compatible the stress field's expressions, the stress function and the stress and displacements fields of the axisymmetric problem are also deduced. Applications have been made for a radially nonhomogeneous hollow cylinder where the stress and displacements fields are determined. (C) 2008 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Solids and Structures	en
dc.identifier.doi	10.1016/j.ijsolstr.2008.08.011	en
dc.identifier.isi	ISI:000261446000019	en
dc.identifier.volume	45	en
dc.identifier.issue	25-26	en
dc.identifier.spage	6535	en
dc.identifier.epage	6552	en