Quasi-static hydraulic crack growth driven by Darcy's law

DOI10.1515/ACV-2016-0029zbMath1387.49061OpenAlexW2466209445MaRDI QIDQ1707964

Stefano Almi

Publication date: 4 April 2018

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/acv-2016-0029

zbMATH Keywords

energy release ratecrack propagationquasi-static evolutionhydraulic fracturesvariational modelsfree-discontinuity problemsGriffith's criterionbrittle fractures

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Fracture and damage (74R99) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for second-order elliptic equations (35J20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

A Γ-convergence result for fluid-filled fracture propagation ⋮ Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks ⋮ Crack growth by vanishing viscosity in planar elasticity ⋮ Shape derivatives of energy and regularity of minimizers for shallow elastic shells with cohesive cracks

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