The interaction of geometrical and physical nonlinearities under the force monotonic loading of a flexible beam is studied. The problem is formulated with making use of the geometrically nonlinear theory of beams and the model of inelastic behavior of a material (generalized flow theory). The geometry of a flexible inelastic beam with almost linear load-deflection characteristic is defined for a wide range of monotonic load parameters. A criterion for the choice of beam thickness is formulated to provide the almost linear stiffness characteristic of the beam for the case of a significant deflection and the inelastic strain in the outer layers.

• Жук Ярослав Олександрович (1967–) (фізико-математичні науки)

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