Document Zbl 0568.73049

On the linearized theory of buckling for a compressed viscoelastic rod. (English) Zbl 0568.73049

Proc. R. Soc. Edinb., Sect. A 99, 371-386 (1985).

A very extensive study of the linearized problem of a visco-elastic analogue of Euler’s elastica problem is given by the author. The governing integro-differential equation is derived from a quasi-static model. Results for existence, bifurcation, blow up and asymptotic behavior of the solutions are derived in a very rigorous manner.

Reviewer: H.Troger

Cited in 1 Document

MSC:

74G60	Bifurcation and buckling
45J05	Integro-ordinary differential equations
74K10	Rods (beams, columns, shafts, arches, rings, etc.)
45M05	Asymptotics of solutions to integral equations

Keywords:

linearized problem; visco-elastic analogue of Euler’s elastica problem; quasi-static model; existence; bifurcation; blow up; asymptotic behavior

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References:

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