Green's functions, bi-linear forms, and completeness of the eigenfunctions for the elastostatic strip and wedge
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Publication:598863
DOI10.1007/BF00041100zbMath0413.73026OpenAlexW2152984929MaRDI QIDQ598863
Publication date: 1979
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00041100
Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Green's functions for ordinary differential equations (34B27) Elastic materials (74B99)
Related Items (15)
Expansion of a bundle of fourth-order differential operators in a part of its eigenfunctions ⋮ On the determination of higher order terms of singular elastic stress fields near corners ⋮ On the influence of cohesive stress-separation laws on elastic stress singularities ⋮ Strict upper and lower bounds of stress intensity factors at 2D elastic notches based on constitutive relation error estimation ⋮ The linear elastic wedge under a tip couple at the critical angle. Where is the paradox? ⋮ On the logarithmic stress singularities induced by the use of displacement shape functions in boundary conditions in submodelling ⋮ The semiinfinite strip \(x\geq 0,-1\leq y\leq 1\); completeness of the Papkovich-Fadle eigenfunctions when \(\phi_{xx}(0,y)\), \(_ y(0,y)\) are prescribed ⋮ The traction boundary value problem for the elastostatic semi-infinite strip; existence of solution, and completeness of the Papkovich-Fadle eigenfunctions ⋮ Convergence of biorthogonal series of biharmonic eigenfunctions by the method of Titchmarsh ⋮ The general form of the three-dimensional elastic field inside an isotropic plate with free faces ⋮ Computation of the stress intensity factors of sharp notched plates by the fractal-like finite element method ⋮ Boundary conditions at the edge of a thin or thick plate bonded to an elastic support ⋮ The stick-slip problem for a round jet ⋮ Decaying states of plane strain in a semi-infinite strip and boundary conditions for plate theory ⋮ The cantilever beam under tension, bending or flexure at infinity
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