Consistent equations of nonlinear multilayer shells theory in the quadratic approximation

DOI10.1134/S1995080219030156zbMath1457.74132OpenAlexW2945270736MaRDI QIDQ2002763

V. N. Paimushin, S. A. Kholmogorov, Ildar B. Badriev

Publication date: 12 July 2019

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080219030156

zbMATH Keywords

small straingeometric nonlinearitycontact stressorthogonal curvilinear coordinatesstraight beamfinite displacementTimoshenko shell

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Contact in solid mechanics (74M15) Composite and mixture properties (74E30) Shells (74K25)

Related Items (5)

Refined equations of the theory of composite multilayered shells with transversally soft core under medium bending ⋮ On the problem of solvability of nonlinear boundary value problems for arbitrary isotropic shallow shells of the Timoshenko type with free edges ⋮ Refined equations of the sandwich shells theory with composite external layers and a transverse soft core at average bending ⋮ Tension-compression and shear of plane test specimens from laminated composites with the \([90 \degree_s\) structure. Initial stress-strain state] ⋮ On the existence of solutions to boundary value problems for nonlinear equilibrium equations of shallow anisotropic shells of Timoshenko type in Sobolev space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eigenvibrations of a beam with elastically attached load
• Contact statement of mechanical problems of reinforced on a contour sandwich plates with transversally-soft core
• Refined models of contact interaction of a thin plate with positioned on both sides deformable foundations
• Eigenvibrations of a beam with load
• Variational statement of mechanics of composite bodies of piecewise-homogeneous structure
• Solvability of physically and geometrically nonlinear problem of the theory of sandwich plates with transversally-soft core
• Solvability of physically and geometrically nonlinear problem of the theory of sandwich plates with transversally-soft core

This page was built for publication: Consistent equations of nonlinear multilayer shells theory in the quadratic approximation