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A model for brittle fracture based on the hybrid phase field model

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Publication:1939387
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DOI10.1007/s00161-011-0211-zzbMath1258.74184OpenAlexW2006394869MaRDI QIDQ1939387

Hans-Dieter Alber

Publication date: 4 March 2013

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

Full work available at URL: https://doi.org/10.1007/s00161-011-0211-z


zbMATH Keywords

brittle fracturesharp interface modelconstruction of asymptotic solutionhybrid phase field model


Mathematics Subject Classification ID

Brittle fracture (74R10)


Related Items (1)

Thermodynamically consistent algorithms for a finite-deformation phase-field approach to fracture



Cites Work

  • Interface motion by interface diffusion driven by bulk energy: justification of a diffusive interface model
  • Eshelby tensor as a tensor of free enthalpy
  • Laws of crack motion and phase-field models of fracture
  • The variational approach to fracture
  • Evolving microstructure and homogenization
  • Numerical implementation of the variational formulation for quasi-static brittle fracture
  • Evolution of phase boundaries by configurational forces
  • Solutions to a Model with Nonuniformly Parabolic Terms for Phase Evolution Driven by Configurational Forces


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