Stress theory for classical fields
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Publication:5133818
DOI10.1177/1081286517723697zbMath1480.70021arXiv1705.03093OpenAlexW2963823684MaRDI QIDQ5133818
Elihu Olami, Raz Kupferman, Reuven Segev
Publication date: 11 November 2020
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.03093
Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Applications of differential geometry to engineering (53Z30)
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Cites Work
- Modern differential geometric techniques in the theory of continuous distributions of dislocations
- Cauchy's stress theorem for stresses represented by measures
- The existence of the flux vector and the divergence theorem for general Cauchy fluxes
- A symplectic framework for field theories
- Cauchy's stress theorem and tensor fields with divergences in \(L^ p\)
- Cauchy's theorem in classical physics
- Material inhomogeneities and their evolution. A geometric approch.
- An axiomatic foundation for continuum thermodynamics
- Materially uniform simple bodies with inhomogeneities
- Noether equations and conservation laws
- On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations
- Lagrange theory in fibered manifolds
- Geometry of Lagrangian First-order Classical Field Theories
- Geometric aspects of singular dislocations
- Continuum mechanics, stresses, currents and electrodynamics
- On the Geometry and Kinematics of Smoothly Distributed and Singular Defects
- Forces and the existence of stresses in invariant continuum mechanics
- Differential Topology
- A GEOMETRICAL FRAMEWORK FOR THE STATICS OF MATERIALS WITH MICROSTRUCTURE
- Metric-independent analysis of the stress-energy tensor
- Notes on Metric Independent Analysis of Classical Fields
- A modern version of the E. Noether's theorems in the calculus of variations, I
- A modern version of the E. Noether's theorems in the calculus of variations, II
- On the Banach differential structure for sets of maps on non-compact domains
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