Geodesic
Large deflections of viscoelastic panels
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2019), pp. 80-86

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We investigate the problem of large, including supercritical, deflections of viscoelastic panels loaded with a transverse distributed load or a concentrated force, including panels obtained by pre-bending the plates by compressing them. In addition to bending deformations, transverse shear is taken into account. The system of static and kinematic relations in the elastic formulation is reduced to a single resolving nonlinear equation with respect to the deflection, examples of numerical calculations are given. Taking into account the fact that in fibrous materials the creep of the material is manifested mainly in shear, the solution obtained is generalized to the case of linearly viscoelastic panels.
Mots-clés : composite
Keywords: panel, buckling, shear, supercritical bending, nonlinear equation, viscoelasticity. 
@article{IVM_2019_11_a9,
     author = {R. A. Kayumov and B. F. Tazyukov and I. Z. Muhamedova and F. R. Shakirzyanov},
     title = {Large deflections of viscoelastic panels},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {80--86},
     publisher = {mathdoc},
     number = {11},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_11_a9/}
}
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R. A. Kayumov; B. F. Tazyukov; I. Z. Muhamedova; F. R. Shakirzyanov. Large deflections of viscoelastic panels. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2019), pp. 80-86. http://geodesic.mathdoc.fr/item/IVM_2019_11_a9/