Thin inclusions in elastic bodies crossing an external boundary

DOI10.1002/zamm.201400103zbMath1333.74013OpenAlexW2034432505MaRDI QIDQ2799061

Alexandr Mikhailovich Khludnev

Publication date: 8 April 2016

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201400103

zbMATH Keywords

fictitious domain methodcrackdelaminationrigid inclusionthin elastic inclusionnon-penetration boundary condition

Mathematics Subject Classification ID

Theories of fracture and damage (74A45)

Related Items (11)

On the mechanical interplay between Timoshenko and semirigid inclusions embedded in elastic bodies ⋮ The Griffith formula and J‐integral for elastic bodies with Timoshenko inclusions ⋮ On junction problem with damage parameter for Timoshenko and rigid inclusions inside elastic body ⋮ A contact problem for an elastic plate with a thin rigid inclusion ⋮ Numerical solution of the equilibrium problem for a two-dimensional elastic body with a thin semirigid inclusion ⋮ On equilibrium of a two-dimensional viscoelastic body with a thin Timoshenko inclusion ⋮ Singular path-independent energy integrals for elastic bodies with Euler–Bernoulli inclusions ⋮ Inverse problem for elastic body with thin elastic inclusion ⋮ Rigidity parameter identification for thin inclusions located inside elastic bodies ⋮ Optimal control of a thin rigid inclusion intersecting the boundary of an elastic body ⋮ Inverse problems for elastic body with closely located thin inclusions

Cites Work

• Thin rigid inclusions with delaminations in elastic plates
• Plate-like and shell-like inclusions with high rigidity
• A model for the quasi-static growth of brittle fractures: Existence and approximation results
• On the junction of elastic plates and beams
• Mathematical modeling and numerical analysis of elastic body with thin inclusion
• Revisiting brittle fracture as an energy minimization problem
• Delaminated thin elastic inclusions inside elastic bodies
• Crack on the boundary of a thin elastic inclusion inside an elastic body
• Optimal control of cracks in elastic bodies with thin rigid inclusions
• Asymptotic behaviour at a tip of a rigid line inclusion in linearized elasticity

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