Crack paths in three-dimensional elastic solids. I: Two-term expansion of the stress intensity factors -- application to crack path stability in hydraulic fracturing

DOI10.1016/S0020-7683(97)00276-XzbMath0963.74052MaRDI QIDQ1302984

Publication date: 18 June 2001

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

zbMATH Keywords

crack path stability small parameter stress intensity factor internal pressure two-term expansion penny shaped crack crack extension length mode I far stresses

Mathematics Subject Classification ID

Brittle fracture (74R10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Stress concentrations, singularities in solid mechanics (74G70)

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Interface cracks in composite orthotropic materials and their delamination via global shape optimization ⋮ Perturbation approaches of a planar crack in linear elastic fracture mechanics: a review ⋮ Theoretical analysis of crack front instability in mode I+III ⋮ Asymptotic behavior of the energy functional for a three-dimensional body with a rigid inclusion and a crack ⋮ A two-scale time-dependent damage model based on non-planar growth of micro-cracks ⋮ Crack front rotation and segmentation in mixed mode \(\text{I} + \text{III}\) or \(\text{I}+ \text{II}+ \text{III}\). I: Calculation of stress intensity factors. II: Comparison with experiments ⋮ High order boundary and finite elements for 3D fracture propagation in brittle materials ⋮ Fracture propagation in brittle materials as a standard dissipative process: general theorems and crack tracking algorithms

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