Generalized Trefftz method in the gradient elasticity theory

DOI10.1134/S1995080221080321zbMath1486.74136OpenAlexW3198818464MaRDI QIDQ1982482

E. I. Moiseev, D. B. Volkov-Bogorodskiy

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/s1995080221080321

zbMATH Keywords

fundamental solutionLaplace equationHelmholtz equationPapkovich-Neuber representationuniqueness conditionBubnov-Galerkin projection methodenergy functional minimizationfourth-order gradient elasticity equationGreen integral formula

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Elastic materials (74B99) Numerical and other methods in solid mechanics (74S99)

Related Items (3)

Structural analysis in the problems of gradient elasticity ⋮ On general representations of Papkovich-Neuber solutions in gradient elasticity ⋮ Analytical solution of Brinkman hydrodynamics in filtration problems

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• Calculation of deformations in nanocomposites using the block multipole method with the analytical-numerical account of the scale effects

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