On the theory of multilayer thin bodies
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Publication:1982474
DOI10.1134/S1995080221080217zbMath1472.74153OpenAlexW3166912904MaRDI QIDQ1982474
Publication date: 8 September 2021
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1995080221080217
stress tensorLegendre polynomialChebyshev polynomialproblem decompositionmicropolar materialFourier heat conduction lawtensor-block matrix operator
Composite and mixture properties (74E30) Thermal effects in solid mechanics (74F05) Thin bodies, structures (74K99) Numerical and other methods in solid mechanics (74S99)
Related Items (3)
Generalized Reissner-type variational principles in the micropolar theories of multilayer thin bodies with one small size ⋮ On some variational principles in micropolar theories of single-layer thin bodies ⋮ On the iterlayer contact conditions in multilayer thin body theory and some issues of splitting initial-boundary value problems
Cites Work
- Mathematical modelling of multilayer thin body deformation
- Splitting of initial boundary value problems in anisotropic linear elasticity theory
- Eigenvalue problems for tensor-block matrices and their applications to mechanics
- On the decomposition of equations of micropolar elasticity and thin body theory
- On the problem of eigenvalues of material tensor objects and wave velocities
- Topics on tensor calculus with applications to mechanics
- Reducing three-dimensional elasticity problems to two-dimensional problems by approximating stresses and displacements by legendre polynomials
- Higher-Order Theories for Structural Analysis Using Legendre Polynomial Expansions
- Approximate solution of the finite cylinder problem using Legendre polynomials
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