Analysis of a strain softening constitutive model

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

The paper first examines the question of uniqueness of a basic yet simplified constitutive model with strain softening. It is shown that the constitutive equations lead to a unique solution for the case of rate-dependent as well as rate-independent formulation and its implementation in finite element analysis shows mesh size insensitivity in the hardening and softening regimes. Conditions for formation of narrow shear bands are developed and discussed. It is shown that as the damage accumulates the material approaches localization of deformation.

Original languageEnglish (US)
Pages (from-to)751-767
Number of pages17
JournalInternational Journal of Solids and Structures
Volume23
Issue number6
DOIs
StatePublished - 1987

Fingerprint

Strain Softening
Shear Bands
Insensitivity
Shear bands
Softening
Accumulate
Constitutive Model
Constitutive Equation
Constitutive equations
Hardening
Constitutive models
Unique Solution
plastic deformation
Uniqueness
Damage
Mesh
Finite Element
Finite element method
Formulation
Dependent

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

Analysis of a strain softening constitutive model. / Frantziskonis, George N; Desai, C. S.

In: International Journal of Solids and Structures, Vol. 23, No. 6, 1987, p. 751-767.

Research output: Contribution to journalArticle

@article{11cfa935da4c4997bb8979b25aab313a,
title = "Analysis of a strain softening constitutive model",
abstract = "The paper first examines the question of uniqueness of a basic yet simplified constitutive model with strain softening. It is shown that the constitutive equations lead to a unique solution for the case of rate-dependent as well as rate-independent formulation and its implementation in finite element analysis shows mesh size insensitivity in the hardening and softening regimes. Conditions for formation of narrow shear bands are developed and discussed. It is shown that as the damage accumulates the material approaches localization of deformation.",
author = "Frantziskonis, {George N} and Desai, {C. S.}",
year = "1987",
doi = "10.1016/0020-7683(87)90077-1",
language = "English (US)",
volume = "23",
pages = "751--767",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",
publisher = "Elsevier Limited",
number = "6",

}

TY - JOUR

T1 - Analysis of a strain softening constitutive model

AU - Frantziskonis, George N

AU - Desai, C. S.

PY - 1987

Y1 - 1987

N2 - The paper first examines the question of uniqueness of a basic yet simplified constitutive model with strain softening. It is shown that the constitutive equations lead to a unique solution for the case of rate-dependent as well as rate-independent formulation and its implementation in finite element analysis shows mesh size insensitivity in the hardening and softening regimes. Conditions for formation of narrow shear bands are developed and discussed. It is shown that as the damage accumulates the material approaches localization of deformation.

AB - The paper first examines the question of uniqueness of a basic yet simplified constitutive model with strain softening. It is shown that the constitutive equations lead to a unique solution for the case of rate-dependent as well as rate-independent formulation and its implementation in finite element analysis shows mesh size insensitivity in the hardening and softening regimes. Conditions for formation of narrow shear bands are developed and discussed. It is shown that as the damage accumulates the material approaches localization of deformation.

UR - http://www.scopus.com/inward/record.url?scp=19244384628&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=19244384628&partnerID=8YFLogxK

U2 - 10.1016/0020-7683(87)90077-1

DO - 10.1016/0020-7683(87)90077-1

M3 - Article

VL - 23

SP - 751

EP - 767

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

IS - 6

ER -