Clifford algebra valued boundary integral equations for three-dimensional elasticity

DOI10.1016/j.apm.2017.09.031zbMath1480.74028OpenAlexW2757244078MaRDI QIDQ2295068

Hong-Ki Hong, Li-Wei Liu

Publication date: 12 February 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2017.09.031

zbMATH Keywords

three-dimensional elasticityboundary element methodDirac operatorboundary integral equationsClifford analysismultiple-component spatial harmonic function

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Functions of hypercomplex variables and generalized variables (30G35) Clifford algebras, spinors (15A66) Integral equations with kernels of Cauchy type (45E05)

Related Items (8)

Representation of solutions of Lamé-Navier system ⋮ Solutions of Lamé-Navier system in ball shell domain ⋮ Boundary value problems for the Lamé-Navier system in fractal domains ⋮ Cauchy type integrals and a boundary value problem in a complex Clifford analysis ⋮ Fundamental solutions of the Stokes system in quaternion analysis ⋮ Integral representation formulas related to the Lamé-Navier system ⋮ Determination of stress state of anisotropic plates with rigid inclusions based on singular integral equations ⋮ On a generalized Lamé-Navier system in \(\mathbb{R}^3\)

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