Stresses and strains in a deformable fractal medium and in its fractal continuum model
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Publication:2345305
DOI10.1016/j.physleta.2013.07.029zbMath1457.74011OpenAlexW2017675371MaRDI QIDQ2345305
Publication date: 19 May 2015
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2013.07.029
Linear constitutive equations for materials with memory (74D05) Kinematics of deformation (74A05) Fractals (28A80)
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Cites Work
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- Electromagnetism on anisotropic fractal media
- A geometric theory of growth mechanics
- Laplace operators related to self-similar measures on \(\mathbb R^{d}\)
- Scaling of mathematical fractals and box-counting quasi-measure
- Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
- Mechanics on fractal bodies. Data compression using fractals
- Space-filling curves
- Heterogeneous materials. I: Linear transport and optical properties
- Self-affine nature of the stress-strain behavior of an elastic fractal network
- Micropolar continuum mechanics of fractal media
- A fractional model of continuum mechanics
- The concept of multifractal elasticity.
- Covariant balance laws in continua with microstructure
- Riemann-Cartan geometry of nonlinear dislocation mechanics
- Electromagnetic fields in fractal continua
- Electromagnetic fields and waves in fractional dimensional space
- The fractal Dirichlet Laplacian
- On the geometric character of stress in continuum mechanics
- Towards thermomechanics of fractal media
- Continuous medium model for fractal media
- Fractional hydrodynamic equations for fractal media
- Time-space fabric underlying anomalous diffusion
- On spatial and material covariant balance laws in elasticity
- Fractal solids, product measures and fractional wave equations
- Axiomatic basis for spaces with noninteger dimension
- Wave interaction with a random fat fractal: dimension of the reflection coefficient
- A geometric theory of thermal stresses
- Laplacian decomposition of vector fields on fractal surfaces
- GENERALIZATION OF BARENBLATT'S COHESIVE FRACTURE THEORY FOR FRACTAL CRACKS
