The nonlinear bending-torsion theory for curved rods as Gamma-limit of three-dimensional elasticity

L. Scardia

Research output: Contribution to journalArticleAcademicpeer-review

31 Citations (Scopus)

Abstract

The problem of the rigorous derivation of one-dimensional models for nonlinearly elastic curved beams is studied in a variational setting. Considering different scalings of the three-dimensional energy and passing to the limit as the diameter of the beam goes to zero, a nonlinear model for strings and a bending-torsion theory for rods are deduced
Original languageEnglish
Pages (from-to)317-343
JournalAsymptotic Analysis
Volume47
Issue number3-4
Publication statusPublished - 2006

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