Generalized Trefftz method in the gradient elasticity theory
type: Item
instance of: scholarly article
title: Generalized Trefftz method in the gradient elasticity theory
zbMATH Open document ID: 1486.74136
DOI: 10.1134/S1995080221080321
author: D. B. Volkov-Bogorodskiy
author: E. I. Moiseev
published in: Lobachevskii Journal of Mathematics
publication date: 2021-09-08T00:00:00Z
Mathematics Subject Classification ID: 74S99
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74G65
zbMATH DE Number: 7392312
zbMATH Keywords: Papkovich-Neuber representation
zbMATH Keywords: fourth-order gradient elasticity equation
zbMATH Keywords: fundamental solution
zbMATH Keywords: Laplace equation
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: Green integral formula
zbMATH Keywords: Bubnov-Galerkin projection method
zbMATH Keywords: energy functional minimization
zbMATH Keywords: uniqueness condition
MaRDI profile type: Publication
cites work: Q4692971
cites work: The determination of the elastic field of an ellipsoidal inclusion, and related problems
cites work: Calculation of deformations in nanocomposites using the block multipole method with the analytical-numerical account of the scale effects
cites work: Q5730678
cites work: Q5821083
cites work: Q3847171
cites work: Q5638625
cites work: Q5724110
cites work: Q4483017
cites work: Q5612408
cites work: A general solution for strain-gradient elasticity theory
cites work: Radial multipliers in solutions of the Helmholtz equations
cites work: On the radial multipliers method in the gradient elastic fracture mechanics
cites work: Systems of functions consistent with inhomogeneities of elliptic and spheroidal shapes in problems of continuum mechanics
full work available at URL: s1995080221080321
OpenAlex ID: W3198818464
description: scientific article; zbMATH DE number 7392312