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Badalov, F. B.

The method of power series in the nonlinear hereditary theory of viscoelasticity. (Metod stepennykh ryadov v nelinejnoj nasledstvennoj teorii vyazkouprugosti). (Russian) Zbl 0478.73079

Tashkent: ”Fan”. 222 p. R. 2.10 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0478.73079

Cited in 3 Documents

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
74-02 Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids
41A58 Series expansions (e.g., Taylor, Lidstone series, but not Fourier series)
74Hxx Dynamical problems in solid mechanics
74K20 Plates
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
74K15 Membranes
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
45J05 Integro-ordinary differential equations
65H10 Numerical computation of solutions to systems of equations

Keywords:

linear and nonlinear bending problems; elastic case; crude discretization techniques; respect to space variables; viscoelastic case; replacing ordinary differential equations by integral or integro-differential equations; power series expansion; successive approximation method; existence; convergence; geometrically nonlinear viscoelastic plates and shells; physically nonlinear viscoelasticity; viscoelastic impact problems
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