Variational formulation of the first principle of continuum thermodynamics

DOI10.1007/s00161-009-0119-zzbMath1196.80003OpenAlexW2024016366MaRDI QIDQ989984

Raffaele Barretta, Giovanni Romano, Marina Diaco

Publication date: 23 August 2010

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-009-0119-z

zbMATH Keywords

Lagrange multiplierscontinuum thermodynamicsheat flowvirtual temperatures

Mathematics Subject Classification ID

Related Items (17)

Micromorphic continua: non-redundant formulations ⋮ Integro-differential nonlocal theory of elasticity ⋮ Analogies between \textsc{Kirchhoff} plates and functionally graded \textsc{Saint-Venant} beams under torsion ⋮ Analogies between nonlocal and local Bernoulli-Euler nanobeams ⋮ On Cesàro-Volterra method in orthotropic Saint-Venant beam ⋮ On the role of control windows in continuum dynamics ⋮ Variational foundations and generalized unified theory of RVE-based multiscale models ⋮ Nonlocal integral elasticity in nanostructures, mixtures, boundary effects and limit behaviours ⋮ On Euler's stretching formula in continuum mechanics ⋮ Analogies between Kirchhoff plates and Saint-Venant beams under torsion ⋮ Small-scale effects in nanorods ⋮ Analogies between Kirchhoff plates and Saint-Venant beams under flexure ⋮ Multifield variational formulations of diffusion initial boundary value problems ⋮ The geometry of nonlinear elasticity ⋮ Rate formulations in nonlinear continuum mechanics ⋮ Stress-driven nonlocal integral model for Timoshenko elastic nano-beams ⋮ Geometric continuum mechanics

Cites Work

• A virtual power format for thermomechanics
• Cauchy's stress theorem for stresses represented by measures
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• Cauchy's theorem in classical physics
• New results in subdifferential calculus with applications to convex optimization
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• Convex Programming and Duality in Normed Space
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