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Degenerate scales for thin elastic plates with Dirichlet boundary conditions (Q2694703)

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Language	Label	Description	Also known as
English	Degenerate scales for thin elastic plates with Dirichlet boundary conditions	scientific article

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scholarly article

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Degenerate scales for thin elastic plates with Dirichlet boundary conditions (English)

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publication date

4 April 2023

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00707-022-03472-4

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Boundary integral formulation for plate flexure with arbitrary boundary conditions

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An iterative regularizing method for an incomplete boundary data problem for the biharmonic equation

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Derivation of stiffness and flexibility for rods and beams by using dual integral equations

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Degenerate scale for the analysis of circular thin plate using the boundary integral equation method and boundary element methods

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Evaluation of the degenerate scale for BIE in plane elasticity and antiplane elasticity by using conformal mapping

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The degenerate scale problem for the Laplace equation and plane elasticity in a multiply connected region with an outer circular boundary

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Derivation and analytical investigation of three direct boundary integral equations for the fundamental biharmonic problem

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On the elastostatic significance of four boundary integrals involving biharmonic functions

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Detecting non-uniqueness of solutions to biharmonic integral equations through SVD

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Variational formulation and upper bounds for degenerate scales in plane elasticity

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The degenerate scales for plane elasticity problems in piecewise homogeneous media under general boundary conditions

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Invertibility of the biharmonic single layer potential operator

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On a Direct Method of Integral Equations for Solving the Biharmonic Dirichlet Problem

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The Eigenvalue Problem for a Pair of Coupled Integral Equations Arising in the Numerical Solution of Laplace’s Equation

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On the stability of integral equations of the first kind with logarithmic kernels

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Domain decomposition methods via boundary integral equations

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Boundary integral equations

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Numerical biharmonic analysis and some applications

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An integral equation formulation of plate bending problems

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Contributions to the theory of elasticity by Louis Napoleon George Filon as viewed in the light of subsequent developments in biharmonic problems in applied mechanics and engineering mathematics

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Nonuniqueness in the integral equation formulation of the biharmonic equation in multiply connected domains

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Multi-layer potentials and boundary problems for higher-order elliptic systems in Lipschitz domains

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Some radii associated with polyharmonic equation, II

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A generalization of two-dimensional theories of laminated composite plates

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Exact three-dimensional elasticity solutions for bending of moderately thick inhomogeneous and laminated strips under normal pressure

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Regularized solutions with a singular point for the inverse biharmonic boundary value problem by the method of fundamental solutions

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A transverse shear deformation theory for homogeneous monoclinic plates

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An asymptotic property of degenerate scales for multiple holes in plane elasticity

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On invertibility of elastic single-layer potential operator

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\(N\)-capacity, \(N\)-harmonic radius and \(N\)-harmonic transplantation

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Identifiers

10.1007/s00707-022-03472-4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2694703

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