On Timoshenko thin elastic inclusions inside elastic bodies

DOI10.1177/1081286513505106zbMath1327.74100OpenAlexW2015742468MaRDI QIDQ2950706

Alexandr Mikhailovich Khludnev, Günter R. Leugering

Publication date: 9 October 2015

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://opus4.kobv.de/opus4-fau/files/5426/Khludnev_On.pdf

zbMATH Keywords

crackdelaminationTimoshenko beamsthin elastic inclusionnon-penetration boundary condition

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Brittle fracture (74R10) Junctions (74K30)

Related Items (23)

Energy release rates for interfacial cracks in elastic bodies with thin semirigid inclusions ⋮ Optimal control of rigidity parameters of thin inclusions in composite materials ⋮ On equilibrium of the elastic bodies with cracks crossing thin inclusions ⋮ Optimal control of a thin rigid stiffener for a model describing equilibrium of a Timoshenko plate with a crack ⋮ On delaminated thin Timoshenko inclusions inside elastic bodies ⋮ Optimal control of thin elastic inclusion in an elastic body ⋮ An optimal size of a rigid thin stiffener reinforcing an elastic two-dimensional body on the outer edge ⋮ On crack propagations in elastic bodies with thin inclusions ⋮ 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 ⋮ Optimal size of a rigid thin stiffener reinforcing an elastic plate on the outer edge ⋮ 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 ⋮ The junction problem for two weakly curved inclusions in an elastic body ⋮ Singular path-independent energy integrals for elastic bodies with Euler–Bernoulli inclusions ⋮ Unnamed Item ⋮ On modeling thin inclusions in elastic bodies with a damage parameter ⋮ Equilibrium of an elastic body with closely spaced thin inclusions ⋮ Equilibrium problem for elastic plate with thin rigid inclusion crossing an external boundary ⋮ On the connection between two equilibrium problems for cracked bodies in the cases of thin and volume rigid inclusions ⋮ Asymptotics of anisotropic weakly curved inclusions in an elastic body ⋮ Non-coercive problems for Kirchhoff-Love plates with thin rigid inclusion

Cites Work

• Unnamed Item
• Thin rigid inclusions with delaminations in elastic plates
• Differentiation of the energy functional in the equilibrium problem for a Timoshenko plate containing a crack
• Plate-like and shell-like inclusions with high rigidity
• Basic results for elastic fracture mechanics with frictionless contact between the crack lips
• Mathematical modeling and numerical analysis of elastic body with thin inclusion
• Crack on the boundary of a thin elastic inclusion inside an elastic body
• Optimal control of cracks in elastic bodies with thin rigid inclusions
• On stress singularities near the boundary of a polygonal crack

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