Surface integrals for domains with fractal boundaries and some applications to elasticity

DOI10.1098/rspa.2000.0506zbMath0969.74011OpenAlexW2130899853MaRDI QIDQ4946503

Alexey Volovikov, Feodor M. Borodich

Publication date: 1 October 2001

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2000.0506

zbMATH Keywords

uniqueness theoremstresselastostaticsdisplacementdivergence theoremfractal boundarysurface integralsintegration of differential formsnon-integer Hausdorff dimensiondiscontinuous differential formsnon-integer box dimension

Mathematics Subject Classification ID

Fractals (28A80) Elastic materials (74B99)

Related Items (8)

Unnamed Item ⋮ Biquaternionic reformulation of a fractional monochromatic Maxwell system ⋮ D-summable fractal dimensions of complex networks ⋮ Cauchy theorem for a surface integral in commutative algebras ⋮ GENERALIZATION OF BARENBLATT'S COHESIVE FRACTURE THEORY FOR FRACTAL CRACKS ⋮ Integration over non-rectifiable curves and Riemann boundary value problems ⋮ The Riemann boundary value problem on non-rectifiable curves and related questions ⋮ Scaling of mathematical fractals and box-counting quasi-measure

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