The models of gradient mechanics and singularly perturbed boundary value problems

DOI10.1134/s1995080223080565OpenAlexW4389074333MaRDI QIDQ6140460

A. O. Vatul'yan, S. A. Nesterov, Unnamed Author

Publication date: 22 January 2024

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

Full work available at URL: https://doi.org/10.1134/s1995080223080565

zbMATH Keywords

beamboundary integral equationsingularitythermoelasticitycylinderWKB methoddelaminationscale parametergradient elasticity theoryVishick-Lusternik method

Mathematics Subject Classification ID

Thin bodies, structures (74Kxx) Elastic materials (74Bxx) Equilibrium (steady-state) problems in solid mechanics (74Gxx)

Cites Work

• Singularly perturbed problems with boundary and internal layers
• Some links between recent gradient thermo-elasto-plasticity theories and the thermomechanics of generalized continua
• Nonsmooth eigenfunctions in problems of mathematical physics
• Elastic materials with couple-stresses
• First strain gradient theory of thermoelasticity
• A simple approach to solve boundary-value problems in gradient elasticity
• Experiments and theory in strain gradient elasticity.
• Revisiting bending theories of elastic gradient beams
• Bending and stability analysis of gradient elastic beams
• Micro-structure in linear elasticity
• Variational formulations, model comparisons and numerical methods for Euler–Bernoulli micro- and nano-beam models
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