Asymptotic analysis of crack interaction with free boundary

DOI10.1016/S0020-7683(99)00063-3zbMath1015.74050OpenAlexW2009653725MaRDI QIDQ1977181

K. B. Ustinov, Leonid N. Germanovich, Arcady V. Dyskin

Publication date: 17 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0020-7683(99)00063-3

zbMATH Keywords

interpolationstress intensity factorsconcentrated forcesfree boundaryhalf-planeinfinite stripuniform loadingfar field approximationbeam asymptotic approximationcrack opening areacrack-boundary interactiondipole asymptotic method

Mathematics Subject Classification ID

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

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Elastic reciprocity and symmetry constraints on the stress field due to a surface-parallel distribution of dislocations ⋮ The investigation of semi‐strip's stress state with a longitudinal crack ⋮ An approximate solution for toughness-dominated near-surface hydraulic fractures ⋮ The growth of shear bands in the catastrophic failure of soils ⋮ Viscous control of shallow elastic fracture: peeling without precursors ⋮ Stress analysis near the tips of a transverse crack in an elastic semi-strip ⋮ A fixed grid algorithm for simulating the propagation of a shallow hydraulic fracture with a fluid lag

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