Well-posedness of a one-dimensional nonlinear kinematic hardening model

David Melching; Ulisse Stefanelli

doi:10.3934/dcdss.2020188

Well-posedness of a one-dimensional nonlinear kinematic hardening model

David Melching, Ulisse Stefanelli

Department of Mathematics

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

We investigate the quasistatic evolution of a one-dimensional elastoplastic body at small strains. The model includes general nonlinear kinematic hardening but no nonlocal compactifying term. Correspondingly, the free energy of the medium is local but nonquadratic. We prove that the quasistatic evolution problem admits a unique strong solution.

Original language	English
Pages (from-to)	2271-2284
Number of pages	14
Journal	Discrete and Continuous Dynamical Systems - Series S
Volume	13
Issue number	8
Early online date	20 Nov 2019
DOIs	https://doi.org/10.3934/dcdss.2020188
Publication status	Published - Aug 2020

Austrian Fields of Science 2012

101002 Analysis
101028 Mathematical modelling

Keywords

EXISTENCE
Elastoplasticity
PLASTICITY
WELLPOSEDNESS
doubly nonlinear
hardening
hysteresis operator
well-posedness
Doubly nonlinear
Hysteresis operator
Hardening
And phrases. Elastoplasticity
Well-posedness

Access to Document

10.3934/dcdss.2020188

Cite this

@article{3eaa01bbd2774dd98bd761869fa9cd57,

title = "Well-posedness of a one-dimensional nonlinear kinematic hardening model",

abstract = "We investigate the quasistatic evolution of a one-dimensional elastoplastic body at small strains. The model includes general nonlinear kinematic hardening but no nonlocal compactifying term. Correspondingly, the free energy of the medium is local but nonquadratic. We prove that the quasistatic evolution problem admits a unique strong solution.",

keywords = "EXISTENCE, Elastoplasticity, PLASTICITY, WELLPOSEDNESS, doubly nonlinear, hardening, hysteresis operator, well-posedness, Doubly nonlinear, Hysteresis operator, Hardening, And phrases. Elastoplasticity, Well-posedness",

author = "David Melching and Ulisse Stefanelli",

year = "2020",

month = aug,

doi = "10.3934/dcdss.2020188",

language = "English",

volume = "13",

pages = "2271--2284",

journal = "Discrete and Continuous Dynamical Systems - Series S",

issn = "1937-1632",

number = "8",

}

TY - JOUR

T1 - Well-posedness of a one-dimensional nonlinear kinematic hardening model

AU - Melching, David

AU - Stefanelli, Ulisse

PY - 2020/8

Y1 - 2020/8

N2 - We investigate the quasistatic evolution of a one-dimensional elastoplastic body at small strains. The model includes general nonlinear kinematic hardening but no nonlocal compactifying term. Correspondingly, the free energy of the medium is local but nonquadratic. We prove that the quasistatic evolution problem admits a unique strong solution.

AB - We investigate the quasistatic evolution of a one-dimensional elastoplastic body at small strains. The model includes general nonlinear kinematic hardening but no nonlocal compactifying term. Correspondingly, the free energy of the medium is local but nonquadratic. We prove that the quasistatic evolution problem admits a unique strong solution.

KW - EXISTENCE

KW - Elastoplasticity

KW - PLASTICITY

KW - WELLPOSEDNESS

KW - doubly nonlinear

KW - hardening

KW - hysteresis operator

KW - well-posedness

KW - Doubly nonlinear

KW - Hysteresis operator

KW - Hardening

KW - And phrases. Elastoplasticity

KW - Well-posedness

UR - http://www.scopus.com/inward/record.url?scp=85085196590&partnerID=8YFLogxK

U2 - 10.3934/dcdss.2020188

DO - 10.3934/dcdss.2020188

M3 - Article

VL - 13

SP - 2271

EP - 2284

JO - Discrete and Continuous Dynamical Systems - Series S

JF - Discrete and Continuous Dynamical Systems - Series S

SN - 1937-1632

IS - 8

ER -

Well-posedness of a one-dimensional nonlinear kinematic hardening model

Abstract

Austrian Fields of Science 2012

Keywords

Access to Document

Other files and links

Cite this