@article{bukal_derivation_2017,
	title = {Derivation of homogenized {Euler} {Lagrange} equations for von {Karman} rods},
	volume = {262},
	issn = {0022-0396},
	doi = {10.1016/j.jde.2017.02.009},
	abstract = {In this paper we study the effects of simultaneous homogenization and dimension reduction in the context of convergence of stationary points for thin nonhomogeneous rods under the assumption of the von Karman scaling. Assuming stationarity conditions for a sequence of deformations close to a rigid body motion, we prove that the corresponding sequences of scaled displacements and twist functions converge to a limit point, which is the stationary point of the homogenized von Karman rod model. The analogous result holds true for the von Karman plate model. (C) 2017 Elsevier Inc. All rights reserved.},
	language = {English},
	number = {11},
	journal = {JOURNAL OF DIFFERENTIAL EQUATIONS},
	author = {Bukal, Mario and Pawelczyk, Matthaeus and Velcic, Igor},
	month = jun,
	year = {2017},
	note = {Place: 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
Type: Article},
	keywords = {Convergence of equilibria, Dimension reduction, Elasticity, Homogenization},
	pages = {5565--5605},
}

{"_id":"Ymo8cBWxnx3KNdABZ","bibbaseid":"bukal-pawelczyk-velcic-derivationofhomogenizedeulerlagrangeequationsforvonkarmanrods-2017","author_short":["Bukal, M.","Pawelczyk, M.","Velcic, I."],"bibdata":{"bibtype":"article","type":"article","title":"Derivation of homogenized Euler Lagrange equations for von Karman rods","volume":"262","issn":"0022-0396","doi":"10.1016/j.jde.2017.02.009","abstract":"In this paper we study the effects of simultaneous homogenization and dimension reduction in the context of convergence of stationary points for thin nonhomogeneous rods under the assumption of the von Karman scaling. Assuming stationarity conditions for a sequence of deformations close to a rigid body motion, we prove that the corresponding sequences of scaled displacements and twist functions converge to a limit point, which is the stationary point of the homogenized von Karman rod model. The analogous result holds true for the von Karman plate model. (C) 2017 Elsevier Inc. All rights reserved.","language":"English","number":"11","journal":"JOURNAL OF DIFFERENTIAL EQUATIONS","author":[{"propositions":[],"lastnames":["Bukal"],"firstnames":["Mario"],"suffixes":[]},{"propositions":[],"lastnames":["Pawelczyk"],"firstnames":["Matthaeus"],"suffixes":[]},{"propositions":[],"lastnames":["Velcic"],"firstnames":["Igor"],"suffixes":[]}],"month":"June","year":"2017","note":"Place: 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE Type: Article","keywords":"Convergence of equilibria, Dimension reduction, Elasticity, Homogenization","pages":"5565–5605","bibtex":"@article{bukal_derivation_2017,\n\ttitle = {Derivation of homogenized {Euler} {Lagrange} equations for von {Karman} rods},\n\tvolume = {262},\n\tissn = {0022-0396},\n\tdoi = {10.1016/j.jde.2017.02.009},\n\tabstract = {In this paper we study the effects of simultaneous homogenization and dimension reduction in the context of convergence of stationary points for thin nonhomogeneous rods under the assumption of the von Karman scaling. Assuming stationarity conditions for a sequence of deformations close to a rigid body motion, we prove that the corresponding sequences of scaled displacements and twist functions converge to a limit point, which is the stationary point of the homogenized von Karman rod model. The analogous result holds true for the von Karman plate model. (C) 2017 Elsevier Inc. All rights reserved.},\n\tlanguage = {English},\n\tnumber = {11},\n\tjournal = {JOURNAL OF DIFFERENTIAL EQUATIONS},\n\tauthor = {Bukal, Mario and Pawelczyk, Matthaeus and Velcic, Igor},\n\tmonth = jun,\n\tyear = {2017},\n\tnote = {Place: 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA\nPublisher: ACADEMIC PRESS INC ELSEVIER SCIENCE\nType: Article},\n\tkeywords = {Convergence of equilibria, Dimension reduction, Elasticity, Homogenization},\n\tpages = {5565--5605},\n}\n\n","author_short":["Bukal, M.","Pawelczyk, M.","Velcic, I."],"key":"bukal_derivation_2017","id":"bukal_derivation_2017","bibbaseid":"bukal-pawelczyk-velcic-derivationofhomogenizedeulerlagrangeequationsforvonkarmanrods-2017","role":"author","urls":{},"keyword":["Convergence of equilibria","Dimension reduction","Elasticity","Homogenization"],"metadata":{"authorlinks":{}}},"bibtype":"article","biburl":"https://bibbase.org/zotero/mtucakovic","dataSources":["DY3AeP9t2QujfB78L"],"keywords":["convergence of equilibria","dimension reduction","elasticity","homogenization"],"search_terms":["derivation","homogenized","euler","lagrange","equations","von","karman","rods","bukal","pawelczyk","velcic"],"title":"Derivation of homogenized Euler Lagrange equations for von Karman rods","year":2017}