Phase field approach to topology optimization of elasto-plastic contact problems

DOI10.4064/BC127-8zbMATH Open1548.49013MaRDI QIDQ6621117

Publication date: 17 October 2024

variational inequality optimality conditions Cahn-Hilliard equation topology optimization phase field approach plasticity model

Mathematics Subject Classification ID

Variational inequalities (49J40) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Optimization of other properties in solid mechanics (74P10) Variational principles of physics (49S05)

Cites Work

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Nonlinear complementarity functions for plasticity problems with frictional contact
Shape optimization of elasto-plastic structures and continua
Plasticity. Mathematical theory and numerical analysis.
Hadamard semidifferential, oriented distance function, and some applications
An unconditionally stable second-order accurate method for systems of Cahn-Hilliard equations
Model-based control of dynamic frictional contact problems using the example of hot rolling
Quasistatic evolution problems for linearly elastic-perfectly plastic materials
Boundary optimal control for quasistatic bilateral frictional contact problems
Optimal control of static elastoplasticity in primal formulation
Mathematical models in contact mechanics
Shapes and Geometries
Optimal control of static plasticity with linear kinematic hardening
Efficient Techniques for Shape Optimization with Variational Inequalities Using Adjoints
Elasto-plastic Shape Optimization Using the Level Set Method
Topology Optimization for Incremental Elastoplasticity: A Phase-Field Approach
Second-order sufficient optimality conditions for optimal control of static elastoplasticity with hardening
On Korn's inequality
On the optimal control of some nonsmooth distributed parameter systems arising in mechanics
Shape Optimization for Variational Inequalities: The Scalar Tresca Friction Problem
On existence, uniqueness and stability of solutions to Cahn-Hilliard/Allen-Cahn systems with cross-kinetic coupling
Topology optimization of energy absorbing structures with maximum damage constraint

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