Topology optimization for incremental elastoplasticity: A phase-field approach

Stefano Almi; Ulisse Stefanelli

doi:10.1137/20M1331275

Topology optimization for incremental elastoplasticity: A phase-field approach

Stefano Almi, Ulisse Stefanelli

Department of Mathematics

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

We discuss a topology optimization problem for an elastoplastic medium. The distribution of material in a region is optimized with respect to a given target functional taking into account compliance. The incremental elastoplastic problem serves as a state constraint. We prove that the topology optimization problem admits a solution. First-order optimality conditions are obtained by considering a regularized problem and passing to the limit.

Original language	English
Pages (from-to)	339-364
Number of pages	26
Journal	SIAM Journal on Control and Optimization
Volume	59
Issue number	1
DOIs	https://doi.org/10.1137/20M1331275
Publication status	Published - 2021

Austrian Fields of Science 2012

101002 Analysis

Keywords

Elastoplasticity
First-order conditions
Topology optimization

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10.1137/20M1331275

Cite this

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title = "Topology optimization for incremental elastoplasticity: A phase-field approach",

abstract = "We discuss a topology optimization problem for an elastoplastic medium. The distribution of material in a region is optimized with respect to a given target functional taking into account compliance. The incremental elastoplastic problem serves as a state constraint. We prove that the topology optimization problem admits a solution. First-order optimality conditions are obtained by considering a regularized problem and passing to the limit.",

keywords = "Elastoplasticity, First-order conditions, Topology optimization",

author = "Stefano Almi and Ulisse Stefanelli",

note = "Publisher Copyright: {\textcopyright} 2021 Society for Industrial and Applied Mathematics",

year = "2021",

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journal = "SIAM Journal on Control and Optimization",

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T2 - A phase-field approach

AU - Almi, Stefano

AU - Stefanelli, Ulisse

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AB - We discuss a topology optimization problem for an elastoplastic medium. The distribution of material in a region is optimized with respect to a given target functional taking into account compliance. The incremental elastoplastic problem serves as a state constraint. We prove that the topology optimization problem admits a solution. First-order optimality conditions are obtained by considering a regularized problem and passing to the limit.

KW - Elastoplasticity

KW - First-order conditions

KW - Topology optimization

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U2 - 10.1137/20M1331275

DO - 10.1137/20M1331275

M3 - Article

AN - SCOPUS:85101809703

VL - 59

SP - 339

EP - 364

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

SN - 0363-0129

IS - 1

ER -

Topology optimization for incremental elastoplasticity: A phase-field approach

Abstract

Austrian Fields of Science 2012

Keywords

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