Energy-minimizing deformations of elastic sheets with bending stiffness

Autor:	Allen C. Pipkin, M. G. Hilgers
Rok vydání:	1993
Předmět:	Mechanical Engineering Geometry Function (mathematics) Bending Mechanics Strain energy Stability conditions Mechanics of Materials Bending stiffness General Materials Science Calculus of variations Deformation (engineering) Second derivative Mathematics
Zdroj:	Journal of Elasticity. 31:125-139
ISSN:	1573-2681 0374-3535
DOI:	10.1007/bf00041227
Popis:	Necessary conditions for energy-minimizing deformations are derived for a theory of sheets in which the strain energy function depends on the second derivatives of the deformation as well as its first derivatives. All of these conditions are extensions of well-known necessary conditions in classical calculus of variations. The interpretation of some of these conditions as material stability conditions is explained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cb87c84a8a48050aef08c378a32df10a https://doi.org/10.1007/bf00041227 Zobrazit plný text záznamu Full text from SpringerLink