Elastic helicoidal body. Bidimensional problems. (Italian. English summary) Zbl 0595.73015

Algostino, Franco

Atti Accad. Sci. Torino, Cl. Sci. Fis. Mat. Nat. 116(1984), 37-46 (1982).

Summary: The nonlinear theory of elasticity is presented and applied to the helicoidal beam. The problem of constant twist and axial elongation is solved by asymptotic expansions.

MSC:

74B20	Nonlinear elasticity
74K10	Rods (beams, columns, shafts, arches, rings, etc.)
41A60	Asymptotic approximations, asymptotic expansions (steepest descent, etc.)

Keywords:

helicoidal beam; constant twist; axial elongation; asymptotic expansions