The configuration space and principle of virtual power for rough bodies
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Publication:3465920
DOI10.1177/1081286513514244zbMath1329.74029arXiv1303.4104OpenAlexW2962777221MaRDI QIDQ3465920
Publication date: 29 January 2016
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.4104
continuum mechanicsgeometric measure theorystress theoryflat chains and cochainsLipschitz configurations
Length, area, volume, other geometric measure theory (28A75) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)
Related Items (3)
On the role of sharp chains in the transport theorem ⋮ Continuum mechanics, stresses, currents and electrodynamics ⋮ Notes on Global Stress and Hyper-Stress Theories
Cites Work
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- Cauchy flux and sets of finite perimeter
- The existence of the flux vector and the divergence theorem for general Cauchy fluxes
- Geometric measure theory and the axioms of continuum thermodynamics
- On the consistency conditions for force systems
- Cauchy's stress theorem and tensor fields with divergences in \(L^ p\)
- Cauchy fluxes associated with tensor fields having divergence measure
- Cauchy's flux theorem in light of geometric integration theory
- Isomorphisms of differential forms and cochains
- Continuity of the integral as a function of the domain
- A topological property of Lipschitz mappings
- Lectures on the foundation of continuum mechanics and thermodynamics
- Continuous medium model for fractal media
- Fractional hydrodynamic equations for fractal media
- Fractal mechanics
- Normal and integral currents
- Forces and the existence of stresses in invariant continuum mechanics
- Weakly Differentiable Functions
- Differential Topology
- Stokes’ theorem for nonsmooth chains
- Flux across nonsmooth boundaries and fractal Gauss/Green/Stokes' theorems
- DYNAMICS OF FRACTAL SOLIDS
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