A new space of generalised functions with bounded variation motivated by fracture mechanics

DOI10.1007/s00030-022-00793-0zbMath1505.74195OpenAlexW4290988803MaRDI QIDQ2164022

Rodica Toader, Gianni Dal Maso

Publication date: 12 August 2022

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-022-00793-0

zbMATH Keywords

lower semicontinuitycompactness argumentelastoplastic fracture mechanicscompact minimizing sequencedirect calculus of variations method

Mathematics Subject Classification ID

Anelastic fracture and damage (74R20) Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Phase-field approximation of a vectorial, geometrically nonlinear cohesive fracture energy

Cites Work

• Existence theory for a new class of variational problems
• The variational approach to fracture
• Quasistatic crack growth in elasto-plastic materials: the two-dimensional case
• Quasistatic crack growth in nonlinear elasticity
• Revisiting brittle fracture as an energy minimization problem
• Rate-independent systems. Theory and application
• A compactness result in \(GSBV^p\) and applications to \(\varGamma \)-convergence for free discontinuity problems
• Relaxation results for some free discontinuity problems.
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A new space of generalised functions with bounded variation motivated by fracture mechanics