On general representations of Papkovich-Neuber solutions in gradient elasticity
DOI10.1134/s199508022306032xzbMath1525.74026OpenAlexW4387298757MaRDI QIDQ6096825
P. A. Belov, D. B. Volkov-Bogorodskiy, Sergey Lurie
Publication date: 12 October 2023
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s199508022306032x
analytical solutionfundamental solutionEshelby problemdilatation gradientdouble displacement rotormultilayer spherical inclusionT-complete polynomial system
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Inhomogeneity in solid mechanics (74E05) Elastic materials (74B99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exact solution of Eshelby-Christensen problem in gradient elasticity for composites with spherical inclusions
- Eshelby's inclusion problem in the gradient theory of elasticity: applications to composite materials
- Generalized Trefftz method in the gradient elasticity theory
- Generalized Eshelby problem in the gradient theory of elasticity
- Three-phase model of particulate composites in second gradient elasticity
- Dislocations in second strain gradient elasticity
- Effects of couple-stresses in linear elasticity
- Micro-structure in linear elasticity
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- Generalized finite element analysis with T-complete boundary solution functions
- Radial multipliers in solutions of the Helmholtz equations
- Semi-inverse method à la Saint-Venant for two-dimensional linear isotropic homogeneous second-gradient elasticity
- On trial functions applied in the generalized Trefftz method
- Calculation of deformations in nanocomposites using the block multipole method with the analytical-numerical account of the scale effects
This page was built for publication: On general representations of Papkovich-Neuber solutions in gradient elasticity