Abstract
Elastoplastic bending of a sandwich beam with a rigid compressible filler on an elastic base has been studied. To describe kinematics of asymmetrical across thickness pack in the bearing layers the Bernoulli hypotheses have been accepted. Displacements in the filler vary linearly over thickness. The distributed superficial loading simulates the hydrostatic effect of the ambient liquid. The reaction of the base is described by Winkler’s model. A system of equilibrium equations for displacements has been obtained and solved. The numerical results for a sandwich metal-polymer-metal beam are cited.
Highlights
The sandwich structures turn to be most rational in conditions of bending strains, i.e. they are most close to optimal ones from the viewpoint of involving minimum weight aspect under given strength and stiffness limits
The static and dynamic strains in the thermal force fields of three-layered elements whose structure is unconjugated to the elastic base have been studied elsewhere[1,2,4,6,7,8,9]
The present research sets forth the results of the bending problem of a sandwich beam propping against an elastic base
Summary
The sandwich structures turn to be most rational in conditions of bending strains, i.e. they are most close to optimal ones from the viewpoint of involving minimum weight aspect under given strength and stiffness limits. Its external bearing layers are made of elastoplastic material and the filler is of nonlinearly elastic one. For the considered three-layer rod, in view of formulas for the deviator and the spherical part of the strain tensor (3), we shall have: in the bearing layers σ(k) xx σ(k)0 xx σ(k)ω xx σ(k)0 xx
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