An asymptotic form of the energy functional for an elastic body with a crack and a rigid inclusion. The plane problem

DOI10.1016/j.jappmathmech.2012.01.013zbMath1272.74215OpenAlexW2037638703MaRDI QIDQ370733

Evgeniĭ Mikhaĭlovich Rudoy

Publication date: 19 September 2013

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

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0021892812000147

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Brittle fracture (74R10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Inhomogeneity in solid mechanics (74E05) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items

Shape control of thin rigid inclusions and cracks in elastic bodies ⋮ On modeling elastic bodies with defects ⋮ On modeling thin inclusions in elastic bodies with a damage parameter

Cites Work

• Shape sensitivity of curvilinear cracks on interface to nonlinear perturbations
• Primal–dual methods of shape sensitivity analysis for curvilinear cracks with nonpenetration
• Interaction Between a Circular Inclusion and an Arbitrarily Oriented Crack
• On derivative of energy functional for elastic bodies with cracks and unilateral conditions
• The Griffith formula and the Rice–Cherepanov integral for crack problems with unilateral conditions in nonsmooth domains
• Differentiation of Energy Functionals in Two-Dimensional Elasticity Theory for Solids with Curvilinear Cracks
• Generalization of the grippith-sneddon criterion for the case of a nonhomogeneous body
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