On the thermodynamics of the Swift-Hohenberg theory

DOI10.1007/s00161-017-0581-yzbMath1392.80001arXiv1610.00180OpenAlexW2527878745MaRDI QIDQ1655253

A. F. Sarmiento, L. F. R. Espath, Lisandro D. Dalcín, Victor Manuel Calo

Publication date: 9 August 2018

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

Full work available at URL: https://arxiv.org/abs/1610.00180

zbMATH Keywords

phase-fieldgradient theorythermodynamics of continuaSwift-Hohenberg theory

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Classical and relativistic thermodynamics (80A10)

Related Items (10)

Nonisothermal diffuse interface model for electrical breakdown channel ⋮ Phase field model for electrically induced damage using microforce theory ⋮ Refined isogeometric analysis of quadratic eigenvalue problems ⋮ Extended Larché-Cahn framework for reactive Cahn-Hilliard multicomponent systems ⋮ A regularized phase field model for solid-fluid dynamics description ⋮ Reactive \(n\)-species Cahn-Hilliard system: a thermodynamically-consistent model for reversible chemical reactions ⋮ Refined isogeometric analysis for generalized Hermitian eigenproblems ⋮ Refined isogeometric analysis for a preconditioned conjugate gradient solver ⋮ Phase-field gradient theory ⋮ An energy-stable generalized-\(\alpha\) method for the Swift-Hohenberg equation

Uses Software

• PetIGA
• PetIGA-MF

Cites Work

• Tractions, balances, and boundary conditions for nonsimple materials with application to liquid flow at small-length scales
• The thermodynamics of elastic materials with heat conduction and viscosity
• Elastic materials with couple-stresses
• Continuum theory of thermally induced phase transitions based on an order parameter
• Dynamic solid-solid transitions with phase characterized by an order parameter
• Continua described by a microstructural field
• Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
• PetIGA: a framework for high-performance isogeometric analysis
• Theories of elasticity with couple-stress
• Beyond Euler-Cauchy Continua: The structure of contact actions in N-th gradient generalized continua: a generalization of the Cauchy tetrahedron argument
• Energy exchange analysis in droplet dynamics via the Navier–Stokes–Cahn–Hilliard model
• On the Relationship between Supplemental Balances in Two Theories for Pure Interface Motion

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