On a spatial generalization of the Kolosov–Muskhelishvili formulae

DOI10.1002/mma.1033zbMath1151.74308OpenAlexW2051773534MaRDI QIDQ5502708

Sebastian Bock, Klaus Gürlebeck

Publication date: 8 January 2009

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1033

zbMATH Keywords

classical linear elasticitymonogenic functionsrepresentation formulaefunctions of hypercomplex variables and generalized variablesGoursat's representation theorem

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Functions of hypercomplex variables and generalized variables (30G35)

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Cites Work

• On the Kolosov-Muskhelishvili analog for the three-dimensional state of stress
• The use of quaternions to generalize the Kolosov-Muskhelishvili method to three-dimensional problems of the theory of elasticity
• On the calculation of monogenic primitives
• On primitives of monogenic functions
• Quaternionic analysis
• A hypercomplex derivative of monogenic functsions in and its Applications
• Differentiation of the Martinelli‐Bochner Integrals and the Notion of Hyperderivability