Topology Optimization for Incremental Elastoplasticity: A Phase-Field Approach
From MaRDI portal
Publication:5145608
DOI10.1137/20M1331275zbMath1455.74074arXiv2004.06330OpenAlexW3122760352MaRDI QIDQ5145608
Ulisse Stefanelli, Stefano Almi
Publication date: 21 January 2021
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.06330
Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Topological methods for optimization problems in solid mechanics (74P15) Compliance or weight optimization in solid mechanics (74P05)
Related Items
Fast Matlab evaluation of nonlinear energies using FEM in 2D and 3D: nodal elements, Topology optimization for quasistatic elastoplasticity, A phase-field approach for detecting cavities via a Kohn–Vogelius type functional, Identification of cavities and inclusions in linear elasticity with a phase-field approach, Rate-independent stochastic evolution equations: parametrized solutions, Phase field topology optimisation for 4D printing, Analysis of a combined filtered/phase-field approach to topology optimization in elasticity, Sharp-interface limit of a multi-phase spectral shape optimization problem for elastic structures, Overhang penalization in additive manufacturing via phase field structural topology optimization with anisotropic energies
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials
- Topology optimization in aircraft and aerospace structures design
- Integrability of displacement and stresses in linear and nonlinear elasticity with mixed boundary conditions
- Optimization of mixed variational inequalities arising in flow of viscoplastic materials
- A NURBS-based multi-material interpolation (N-MMI) for isogeometric topology optimization of structures
- Optimal control of quasistatic plasticity with linear kinematic hardening II: regularization and differentiability
- On the existence of optimal shapes in contact problems - Perfectly plastic bodies
- A \(W^{1,p}\)-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
- Generating optimal topologies in structural design using a homogenization method
- Shape optimization of elasto-plastic axisymmetric bodies
- Computational inelasticity
- An introduction to \(\Gamma\)-convergence
- Stochastic topology design optimization for continuous elastic materials
- Plasticity. Mathematical theory and numerical analysis.
- Topology optimization of viscoelastic structures using a time-dependent adjoint method
- The gradient theory of phase transitions and the minimal interface criterion
- Thermal control of the Souza-Auricchio model for shape memory alloys
- Optimal control of ODE systems involving a rate independent variational inequality
- Graded-material design based on phase-field and topology optimization
- Optimal control of a rate-independent evolution equation via viscous regularization
- Nonlinear structural design using multiscale topology optimization. II: Transient formulation
- Surface effects on shape and topology optimization of nanostructures
- Optimal control of quasistatic plasticity with linear kinematic hardening. III: Optimality conditions
- Sharp Interface Limit for a Phase Field Model in Structural Optimization
- Optimal Control of Static Elastoplasticity in Primal Formulation
- Relating phase field and sharp interface approaches to structural topology optimization
- Topology Optimization with the Homogenization and the Level-Set Methods
- Approximation of Rate-Independent Optimal Control Problems
- A phase-field model for compliance shape optimization in nonlinear elasticity
- Optimal control of static plasticity with linear kinematic hardening
- A mixed FEM approach to stress-constrained topology optimization
- Optimal Control for Nonconvex Rate-Independent Evolution Processes
- Shape optimization of an elasto-perfectly plastic body
- Mechanics of Solid Materials
- Un espace fonctionnel pour les équations de la plasticité
- Design-dependent loads in topology optimization
- Optimality Conditions for Simultaneous Topology and Shape Optimization
- Topology optimization of 2D‐frame structures with path‐dependent response
- Identification of some nonsmooth evolution systems with illustration on adhesive contacts at small strains
- Elasto-plastic Shape Optimization Using the Level Set Method
- Shape optimization of elastoplastic bodies obeying Hencky's law
- Optimal Control of Quasi-static Plasticity with Linear Kinematic Hardening, Part I: Existence and Discretization in Time
- C-Stationarity for Optimal Control of Static Plasticity with Linear Kinematic Hardening
- Topology Optimization of Compliant Mechanisms
- Phase‐Field Relaxation of Topology Optimization with Local Stress Constraints
- Shape optimization of an elasto-plastic body for the model with strain- hardening
- Shape optimization by the homogenization method