Bending analysis of magnetoelectroelastic nanoplates resting on Pasternak elastic foundation based on nonlocal theory

DOI10.1007/s10483-020-2679-7zbMath1489.74034OpenAlexW3098385180MaRDI QIDQ824034

Zhen Yan, Wenjie Feng, Ji Lin, Chuan-Zeng Zhang

Publication date: 14 December 2021

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-020-2679-7

zbMATH Keywords

variational principleMindlin plate theorynonlocal theorymethod of particular solutionpolynomial basis functioncollocation point selection

Mathematics Subject Classification ID

Plates (74K20) Micromechanics of solids (74M25) Electromagnetic effects in solid mechanics (74F15) Numerical and other methods in solid mechanics (74S99)

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Cites Work

• Unnamed Item
• The regular hybrid boundary node method in the bending analysis of thin plate structures subjected to a concentrated load
• Axisymmetric bending of functionally graded circular magneto-electro-elastic plates
• Numerical solutions of elliptic partial differential equations using Chebyshev polynomials
• Nonlocal theories for bending, buckling and vibration of beams
• An exact deformation analysis for the magneto-electro-elastic fiber-reinforced thin plate
• A meshless method based on boundary integral equations and radial basis functions for biharmonic-type problems
• Dual reciprocity hybrid radial boundary node method for the analysis of Kirchhoff plates
• An efficient wave based prediction technique for dynamic plate bending problems with corner stress singularities
• An efficient wave based prediction technique for plate bending vibrations
• Magnetoelastic bending and stability of soft ferromagnetic rectangular plates
• The non-homogeneous biharmonic plate equation: fundamental solutions.
• Particular solutions of Laplacian, Helmholtz-type, and polyharmonic operators involving higher order radial basis functions
• Particular solutions of Helmholtz-type operators using higher order polyharmonic splines
• Particular solutions of the multi-Helmholtz-type equation
• Polynomial particular solutions for solving elliptic partial differential equations
• Error analysis of the meshless finite point method
• Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions
• Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems
• A multiple-scale Trefftz method for an incomplete Cauchy problem of biharmonic equation
• The mechanics of pyramids
• Exact characteristic equations for some of classical boundary conditions of vibrating moderately thick rectangular plates
• On nonlocal elasticity
• The method of approximate particular solutions for solving certain partial differential equations
• DERIVATION OF PARTICULAR SOLUTIONS USING CHEBYSHEV POLYNOMIAL BASED FUNCTIONS

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