engleski

Modelling of curved rods

Recent results on mathematical modelling of curved rods are presented. More precisely, elastic behavior of a curved rod-like 3-D body is approximated by elastic behavior of its middle curve. The method of approximation is asymptotic expansion with respect to the small parameter diameter of the cross section of the rod). Certain convergence results are proved and the obtained 1-D approximation is compared with the Cosserat model and arch model.

linearized elasticity, curved rod, evolution model, eigenvalue problem,

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