The structure theorem for the Eulerian derivative of shape functionals defined on domains with cracks

DOI10.1007/BF02674752zbMath0967.74051MaRDI QIDQ5938481

G. Fremiot, Jan Sokolowski

Publication date: 22 July 2001

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/121187

zbMATH Keywords

energy functionalnonlinear boundary value problemdomain functionaldomain with crackparameter of deformationSignorini conditionsstructure of derivative of functional

Mathematics Subject Classification ID

Brittle fracture (74R10) Elastic materials (74B99)

Related Items (2)

Optimization of the first Dirichlet Laplacian eigenvalue with respect to a union of balls ⋮ A structure theorem for shape functions defined on submanifolds

Cites Work

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• Structure of shape derivatives for nonsmooth domains
• Griffith formulae for elasticity systems with unilateral conditions in domains with cracks
• Sur une Interprétation Mathématique de l'Intégrale de Rice en Théorie de la Rupture Fragile
• The Griffith formula and the Rice–Cherepanov integral for crack problems with unilateral conditions in nonsmooth domains

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