Green’s Functions for the Biharmonic Equation: Bonded Elastic Media

DOI10.1137/0147065zbMath0622.73015OpenAlexW2063033939MaRDI QIDQ3760005

Donald E. Cormack, Sinnathurai Vijayakumar

Publication date: 1987

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0147065

zbMATH Keywords

fundamental solutionsGreen's functionsmethod of imageslinearthree-dimensionalbimaterialbiharmonic equationsisotropicreflection matrixelastic mediamatrix-vector multiplicationstransmission matrixmatrix structureperfectly bondedextending Mindlin's nuclei of strain methodgrouping the nuclei into different classesproperly scaling the nucleisingular solution techniquesstrength vectorstwo invariant matrices

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Related Items (7)

Image Singularities of Green's Functions for an Isotropic Elastic Half-Plane Subjected to Forces and Dislocations ⋮ Nuclei of strain for bi-material elastic media with sliding interface ⋮ Elastic fields in two joined transversely isotropic solids due to concentrated forces ⋮ New bounding techniques for goal-oriented error estimation applied to linear problems ⋮ The degeneration of image singularities from anisotropic materials to isotropic materials for an elastic half-plane ⋮ Calculation of strict error bounds for finite element approximations of non-linear pointwise quantities of interest ⋮ On the tangential stress anomaly in the displacement discontinuity method

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