A special case of equivalence between nonlocal plasticity and gradient plasticity in a one-dimensional formulation

Lena Strömberg

doi:10.1016/j.ijengsci.2008.01.019

A special case of equivalence between nonlocal plasticity and gradient plasticity in a one-dimensional formulation

Lena Strömberg

Department of Sociology

Research output: Contribution to journal › Article › peer-review

Abstract

The paper addresses a certain nonlocal plasticity model, where the consistency condition may be rewritten from a Fredholm equation of the second kind into a second order differential equation. Hereby, a case of equivalence between a nonlocal model and a gradient model will be found. (C) 2008 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	835-841
Journal	International Journal of Engineering Science
Volume	46
Issue number	8
DOIs	https://doi.org/10.1016/j.ijengsci.2008.01.019
Publication status	Published - 2008

Subject classification (UKÄ)

Mechanical Engineering

Free keywords

LOCALIZATION
kernel
differential equation
integral equation
boundary conditions
nonlocal plasticity
one-dimension
Hilbert-Schmidt theory

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10.1016/j.ijengsci.2008.01.019

Cite this

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title = "A special case of equivalence between nonlocal plasticity and gradient plasticity in a one-dimensional formulation",

abstract = "The paper addresses a certain nonlocal plasticity model, where the consistency condition may be rewritten from a Fredholm equation of the second kind into a second order differential equation. Hereby, a case of equivalence between a nonlocal model and a gradient model will be found. (C) 2008 Elsevier Ltd. All rights reserved.",

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AB - The paper addresses a certain nonlocal plasticity model, where the consistency condition may be rewritten from a Fredholm equation of the second kind into a second order differential equation. Hereby, a case of equivalence between a nonlocal model and a gradient model will be found. (C) 2008 Elsevier Ltd. All rights reserved.

KW - LOCALIZATION

KW - kernel

KW - differential equation

KW - integral equation

KW - boundary conditions

KW - nonlocal plasticity

KW - one-dimension

KW - Hilbert-Schmidt theory

UR - https://www.scopus.com/pages/publications/44749090962

U2 - 10.1016/j.ijengsci.2008.01.019

DO - 10.1016/j.ijengsci.2008.01.019

M3 - Article

SN - 0020-7225

VL - 46

SP - 835

EP - 841

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

IS - 8

ER -

A special case of equivalence between nonlocal plasticity and gradient plasticity in a one-dimensional formulation

Abstract

Subject classification (UKÄ)

Free keywords

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