Linear hyperbolic systems in domains with growing cracks

DOI10.1007/s00032-017-0268-7zbMath1379.35183OpenAlexW2616128470MaRDI QIDQ2401904

Maicol Caponi

Publication date: 5 September 2017

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-017-0268-7

zbMATH Keywords

dynamic fracture mechanicscracking domainssecond order linear hyperbolic systems

Mathematics Subject Classification ID

Brittle fracture (74R10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (12)

On the wave equation on moving domains: regularity, energy balance and application to dynamic debonding ⋮ Dynamic crack growth in viscoelastic materials with memory ⋮ On the 1d wave equation in time-dependent domains and the problem of debond initiation ⋮ On the Cauchy problem for the wave equation on time-dependent domains ⋮ Variational methods for evolution. Abstracts from the workshop held November 12--18, 2017 ⋮ A dynamic model for viscoelasticity in domains with time-dependent cracks ⋮ A continuous dependence result for a dynamic debonding model in dimension one ⋮ Energy-dissipation balance of a smooth moving crack ⋮ Elastodynamic Griffith fracture on prescribed crack paths with kinks ⋮ An existence result for the fractional Kelvin-Voigt's model on time-dependent cracked domains ⋮ Existence for elastodynamic Griffith fracture with a weak maximal dissipation condition ⋮ A dynamic model for viscoelastic materials with prescribed growing cracks

Cites Work

• Existence for wave equations on domains with arbitrary growing cracks
• Dynamic crack propagation in a 2D elastic body: the out-of-plane case
• The Wave Equation on Domains with Cracks Growing on a Prescribed Path: Existence, Uniqueness, and Continuous Dependence on the Data
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