Cauchy's stress theorem and tensor fields with divergences in \(L^ p\)
From MaRDI portal
Publication:1189740
DOI10.1007/BF00375122zbMath0776.73003MaRDI QIDQ1189740
Publication date: 27 September 1992
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Related Items
Computational aspects of the mechanics of complex materials ⋮ ON THE MEASURE-THEORETIC FOUNDATIONS OF THE SECOND LAW OF THERMODYNAMICS ⋮ A note on equilibrated stress fields for no-tension bodies under gravity ⋮ The configuration space and principle of virtual power for rough bodies ⋮ Comment to ``Hypertractions and hyperstresses convey the same mechanical information`` by Prof. Podio-Guidugli and Prof. Vianello and some related papers on higher gradient theories ⋮ A new mathematical foundation for contact interactions in continuum physics ⋮ How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert ⋮ Geometrically nonlinear higher-gradient elasticity with energetic boundaries ⋮ Extensions and traces of BV functions in rough domains and generalized Cheeger sets ⋮ Continuum mechanics, stresses, currents and electrodynamics ⋮ Trends and challenges in the mechanics of complex materials: a view ⋮ Traces and extensions of bounded divergence-measure fields on rough open sets ⋮ Stress theory for classical fields ⋮ Cauchy fluxes and Gauss-Green formulas for divergence-measure fields over general open sets ⋮ The Divergence Theorem for Divergence Measure Vectorfields on Sets with Fractal Boundaries ⋮ Existence Results in The Linear Dynamics of Quasicrystals with Phason Diffusion and Nonlinear Gyroscopic Effects ⋮ Edge-force densities and second-order powers ⋮ Divergence measure fields and Cauchy's stress theorem ⋮ Cauchy's stress theorem for stresses represented by measures ⋮ Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D continua ⋮ Multi-scale kinetic description of granular clusters: invariance, balance, and temperature ⋮ The Cauchy Stress Theorem for bodies with finite perimeter
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Fit regions and functions of bounded variation
- Cauchy's theorem in classical physics
- The principle of virtual work and integral laws of motion
- Lectures on the foundation of continuum mechanics and thermodynamics
- An axiomatic foundation for continuum thermodynamics
- A note on Cauchy's stress theorem