Generalized Newton methods for crack problems with nonpenetration condition

DOI10.1002/num.20053zbMath1086.74045OpenAlexW2032144293MaRDI QIDQ4680488

Karl Kunisch, Victor A. Kovtunenko, Michael Hintermüller

Publication date: 1 June 2005

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1911/102010

zbMATH Keywords

convergencevariational inequalityconstrained optimization

Mathematics Subject Classification ID

Brittle fracture (74R10) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items

Optimal size of a rigid thin stiffener reinforcing an elastic plate on the outer edge ⋮ Lagrangian approach and shape gradient for inverse problem of breaking line identification in solid: contact with adhesion ⋮ An adaptive multi-scale computational modelling of Clare College Bridge ⋮ Differentiation of the energy functional in the equilibrium problem for a Timoshenko plate containing a crack ⋮ An adaptive multi-scale approach to the modelling of masonry structures ⋮ Constrained optimization for interface cracks in composite materials subject to non-penetration conditions ⋮ A comparison of solvers for linear complementarity problems arising from large-scale masonry structures. ⋮ Lagrange multiplier approach to unilateral indentation problems: Well-posedness and application to linearized viscoelasticity with non-invertible constitutive response ⋮ Poroelastic medium with non-penetrating crack driven by hydraulic fracture: variational inequality and its semidiscretization

Cites Work

• A nonsmooth version of Newton's method
• Semismooth and Semiconvex Functions in Constrained Optimization
• Semi–Smooth Newton Methods for Variational Inequalities of the First Kind
• Semismooth Newton Methods for Operator Equations in Function Spaces
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• Numerical simulation of the non-linear crack problem with non-penetration
• Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations
• The Griffith formula and the Rice–Cherepanov integral for crack problems with unilateral conditions in nonsmooth domains
• The primal-dual active set method for a crack problem with non-penetration
• A generalization of the linear complementarity problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalized Newton methods for crack problems with nonpenetration condition