Dynamic fracture: An example of convergence towards a discontinuous quasistatic solution

DOI10.1007/s00161-008-0071-3zbMath1160.74401OpenAlexW2068902617MaRDI QIDQ1018477

Jean-Jacques Marigo, Miguel Charlotte, Pierre-Emmanuel Dumouchel

Publication date: 20 May 2009

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

Full work available at URL: https://hal-polytechnique.archives-ouvertes.fr/hal-00551075/file/07-CMT-Dynamic2.pdf

Mathematics Subject Classification ID

Brittle fracture (74R10) Shocks and related discontinuities in solid mechanics (74J40) Thin films (74K35)

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Cites Work

• Some kinetic considerations of the Griffith criterion for fracture. I: Equations of motion at constant force. II: Equations of motion at constant deformation
• Justification of Paris-type fatigue laws from cohesive forces model via a variational approach
• The variational approach to fracture
• Revisiting brittle fracture as an energy minimization problem
• Existence results for a class of rate-independent material models with nonconvex elastic energies
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