A new mathematical foundation for contact interactions in continuum physics
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Publication:880934
DOI10.1007/s00205-006-0032-6zbMath1121.74048OpenAlexW2046940040MaRDI QIDQ880934
Publication date: 21 May 2007
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-006-0032-6
Related Items (23)
Mathematical modelling of boundary conditions for magneto-sensitive elastomers: Variational formulations ⋮ On BV functions and essentially bounded divergence-measure fields in metric spaces ⋮ Gauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws ⋮ Concentrated contact interactions in cuspidate prismatic shell-like bodies ⋮ Some remarks prompted by a commentary due to Professors F. Dell'Isola and P. Seppecher ⋮ On the ``principle of virtual power for arbitrary parts of a body ⋮ On locally essentially bounded divergence measure fields and sets of locally finite perimeter ⋮ How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert ⋮ Radiative transfer and flux theory ⋮ Representation formulas for pairings between divergence-measure fields and \(BV\) functions ⋮ Concentrated actions on cuspidate plane bodies ⋮ Traces and extensions of bounded divergence-measure fields on rough open sets ⋮ Anzellotti's pairing theory and the Gauss-Green theorem ⋮ Free to move or trapped in your group: Mathematical modeling of information overload and coordination in crowded populations ⋮ Cauchy fluxes and Gauss-Green formulas for divergence-measure fields over general open sets ⋮ A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS ⋮ Roughening it — evolving irregular domains and transport theorems ⋮ A transport theorem for nonconvecting open sets on an embedded manifold ⋮ A variational rod model with a singular nonlocal potential ⋮ The Gauss-Green theorem in stratified groups ⋮ A note on modelling with measures: two-features balance equations ⋮ Cauchy's stress theorem for stresses represented by measures ⋮ Pairings between bounded divergence-measure vector fields and BV functions
Cites Work
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- The geometry of contact, separation, and reformation of continuous bodies
- A mathematical theory of the mechanical behavior of continuous media
- 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
- A variational proof of the stress theorem of Cauchy
- Fit regions and functions of bounded variation
- On the consistency conditions for force systems
- Cauchy's stress theorem and tensor fields with divergences in \(L^ p\)
- Cauchy's theorem in classical physics
- The principle of virtual work and integral laws of motion
- Divergence-measure fields and hyperbolic conservation laws
- Cauchy fluxes associated with tensor fields having divergence measure
- A variational approach to obstacle problems for shearable nonlinearly elastic rods
- Variational approach to contact problems in nonlinear elasticity.
- Balanced powers in continuum mechanics
- Extended divergence-measure fields and the Euler equations for gas dynamics
- Euler-Lagrange equations for nonlinearly elastic rods with self-contact
- Cauchy's flux theorem in light of geometric integration theory
- Cauchy's theorem on manifolds
- The geometry of Cauchy's fluxes
- Elliptic partial differential equations of second order
- Balance laws and weak boundary conditions in continuum mechanics
- Examples of concentrated contact interactions in simple bodies
- Divergence-measure fields, sets of finite perimeter, and conservation laws
- Lectures on the foundation of continuum mechanics and thermodynamics
- Edge-force densities and second-order powers
- Divergence measure fields and Cauchy's stress theorem
- An axiomatic foundation for continuum thermodynamics
- On concentrated loads and Green's functions in elastostatics
- A note on Cauchy's stress theorem
- Thermodynamics of rigid continua
- On the first law of thermodynamics
- The Cauchy Stress Theorem for bodies with finite perimeter
- Forces and the existence of stresses in invariant continuum mechanics
- On the theory of divergence-measure fields and its applications
- ON THE MEASURE-THEORETIC FOUNDATIONS OF THE SECOND LAW OF THERMODYNAMICS
- The Foundations of Mechanics
- Nonlinear problems of elasticity
- Decomposition and integral representation of Cauchy interactions associated with measures
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