Mechanics on fractal bodies. Data compression using fractals

DOI10.1016/S0960-0779(96)00105-1zbMath0924.58092MaRDI QIDQ1279489

O. K. Panagouli, Panagiotis D. Panagiotopoulos

Publication date: 16 November 1999

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

iterated function systemsfractal bodies

Mathematics Subject Classification ID

Topological dynamics (37B99) Applications of dynamical systems (37N99)

Related Items (7)

Contour integrals and vector calculus on fractal curves and interfaces ⋮ Analytical solutions for vibrating fractal composite rods and beams ⋮ On the continuity and differentiability of a kind of fractal interpolation function ⋮ Static-kinematic duality and the principle of virtual work in the mechanics of fractal media ⋮ Scaling of Effective Moduli of Generalised Continua ⋮ Stresses and strains in a deformable fractal medium and in its fractal continuum model ⋮ Sierpinski-Takagi combination for a uniform and optimal point-surface load transmission

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Smooth interpolating curves and surfaces generated by iterated function systems
• Nonconvex energy functions. Hemivariational inequalities and substationarity principles
• Interpolating and orthogonal polynomials on fractals
• Fractal surfaces and interfaces in structures. Methods and algorithms
• The Gauss-Green theorem for fractal boundaries
• Fractals and fractal approximation in structural mechanics
• Fractal geometry in solids and structures
• Fractal interfaces with unilateral contact and friction conditions
• On the numerical solution of structures with fractal geometry: The FE approach
• Fractal geometry in structures. Numerical methods for convex energy problems
• Fractal geometry and fractal material behaviour in solids and structures
• The B.E.M. in plane elastic bodies with cracks and/or boundaries of fractal geometry
• Fractal interfaces in structures: Methods of calculation
• The FEM and BEM for fractal boundaries and interfaces. Applications to unilateral problems
• On the Consideration of the Geometric and Physical Fractality in Solid Mechanics. I: Theoretical Results
• The dual of Besov spaces on fractals

This page was built for publication: Mechanics on fractal bodies. Data compression using fractals