On the Eshelby-Kostrov property for the wave equation in the plane

DOI10.1090/S0002-9947-06-03995-XzbMath1087.74034OpenAlexW1602478313MaRDI QIDQ5469204

Juan J. L. Velazquez, Gerardo E. Oleaga, Miguel Angel Herrero

Publication date: 17 May 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-03995-x

zbMATH Keywords

existenceuniquenessasymptotic expansionsstress intensity factor

Mathematics Subject Classification ID

Stress concentrations, singularities in solid mechanics (74G70) Linear waves in solid mechanics (74J05) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Explicit solutions of dynamical problems in solid mechanics (74H05)

Cites Work

• Unnamed Item
• Crack paths in plane situations. I: General form of the expansion of the stress intensity factors
• Partial differential equations. 3rd ed
• Crack paths in plane situations. II: Detailed form of the expansion of the stress intensity factors
• The evolution of stress intensity factors and the propagation of cracks in elastic media
• Planar cracks running along piecewise linear paths
• Dynamic Fracture Mechanics
• A new method for solving dynamically accelerating crack problems. I. The case of a semi-infinite mode 𝐼𝐼𝐼 crack in elastic material revisited
• Existence and convergence for quasi-static evolution in brittle fracture
• The evolution of stress intensity factors in the propagation of two dimensional cracks

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