Modeling of cracks with nonlinear effects at the tip zones and the generalized energy criterion
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Publication:715347
DOI10.1007/S00205-011-0444-9zbMath1261.74029OpenAlexW1970190168MaRDI QIDQ715347
Sergueï A. Nazarov, Maria Specovius-Neugebauer
Publication date: 5 November 2012
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-011-0444-9
Classical linear elasticity (74B05) Brittle fracture (74R10) Energy minimization in equilibrium problems in solid mechanics (74G65) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (2)
Shape control of thin rigid inclusions and cracks in elastic bodies ⋮ Scalar problems in junctions of rods and a plate
Cites Work
- Elliptic problems in domains with piecewise smooth boundaries
- Selfadjoint extensions of the Neumann Laplacian in domains with cylindrical outlets
- Crack kinking from an initially closed crack
- Griffith formulae for elasticity systems with unilateral conditions in domains with cracks
- Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
- Applied functional analysis. Main principles and their applications
- The Wiener-Hopf method for systems of pseudodifferential equations with an application to crack problems.
- An asymptotic model of the Griffith criterion under small kinking and curving of a crack
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- The Thermomechanics of Plasticity and Fracture
- Energy release rate for cracks in finite‐strain elasticity
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