Analysis of a space-time phase-field fracture complementarity model and its optimal control formulation

Nonlinear programming (90C30) Optimality conditions for problems involving partial differential equations (49K20) Variational inequalities (49J40) Fréchet and Gateaux differentiability in optimization (49J50) Brittle fracture (74R10)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
An augmented-Lagrangian method for the phase-field approach for pressurized fractures
Complete damage in elastic and viscoelastic media and its energetics
A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
The variational approach to fracture
A \(W^{1,p}\)-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
On the existence and nonexistence of Lagrange multipliers in Banach spaces
Regularity and stability for the mathematical programming problem in Banach spaces
Numerical experiments in revisited brittle fracture
A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach
Quasistatic crack growth in nonlinear elasticity
Revisiting brittle fracture as an energy minimization problem
On penalization in variational phase-field models of brittle fracture
Rate-independent damage in thermo-viscoelastic materials with inertia
A review on phase-field models of brittle fracture and a new fast hybrid formulation
Stochastic phase-field modeling of brittle fracture: computing multiple crack patterns and their probabilities
Interior-point methods for the phase-field approach to brittle and ductile fracture
A priori error estimates for a linearized fracture control problem
Space-time formulation, discretization, and computational performance studies for phase-field fracture optimal control problems
Topology optimization of structures undergoing brittle fracture
A comparative review of peridynamics and phase-field models for engineering fracture mechanics
A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture
Gradient damage \textit{vs} phase-field approaches for fracture: similarities and differences
Rate-independent systems. Theory and application
Multiphysics phase-field fracture. Modeling, adaptive discretizations, and solvers
Numerical implementation of the variational formulation for quasi-static brittle fracture
A phase-field model for fractures in nearly incompressible solids
Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
First and second order sufficient optimality conditions in mathematical programming and optimal control
First Order Conditions for General Nonlinear Optimization
First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
Existence and convergence for quasi-static evolution in brittle fracture
A VANISHING VISCOSITY APPROACH TO A RATE-INDEPENDENT DAMAGE MODEL
An Optimal Control Problem Governed by a Regularized Phase-Field Fracture Propagation Model
Optimizing Fracture Propagation Using a Phase-Field Approach
An Optimal Control Problem Governed by a Regularized Phase-Field Fracture Propagation Model. Part II: The Regularization Limit
A quasi-static phase-field approach to pressurized fractures
An Error-Oriented Newton/Inexact Augmented Lagrangian Approach for Fully Monolithic Phase-Field Fracture Propagation
An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture
Truncated nonsmooth Newton multigrid for phase-field brittle-fracture problems, with analysis
Second-order optimality conditions for an optimal control problem governed by a regularized phase-field fracture propagation model
Space-time mixed system formulation of phase-field fracture optimal control problems
Analysis and simulations for a phase‐field fracture model at finite strains based on modified invariants

This page was built for publication: Analysis of a space-time phase-field fracture complementarity model and its optimal control formulation

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6612253)