Fracture with healing: a first step towards a new view of cavitation

DOI10.2140/apde.2019.12.417zbMath1402.74092OpenAlexW2894730842MaRDI QIDQ1616816

Oscar Lopez-Pamies, Alessandro Giacomini, Gilles A. Francfort

Publication date: 7 November 2018

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/291cb544f514202dd37b1e70c9e72b3639d9c99e

zbMATH Keywords

fracturefree discontinuity problemsminimizing evolutions

Mathematics Subject Classification ID

Brittle fracture (74R10) Methods involving semicontinuity and convergence; relaxation (49J45) Length, area, volume, other geometric measure theory (28A75) Nonlinear evolution equations (47J35) PDEs in connection with mechanics of deformable solids (35Q74)

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Cites Work

• The variational approach to fracture
• Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity
• A density result in two-dimensional linearized elasticity, and applications
• A model for the quasi-static growth of brittle fractures: Existence and approximation results
• Global existence results for viscoplasticity at finite strain
• Quasistatic crack growth in nonlinear elasticity
• Revisiting brittle fracture as an energy minimization problem
• Les espaces du type de Beppo Levi
• Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
• Existence and convergence for quasi-static evolution in brittle fracture
• VI. The phenomena of rupture and flow in solids
• Quasistatic Evolution of Cavities in Nonlinear Elasticity
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