A three dimensional computational model of the mechanical response of a dual-phase ceramic

C.M. Sands, R.J. Henderson, H.W. Chandler

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

This paper presents a constitutive model of a fired ceramic consisting of two phases each with a different thermal expansion coefficient. Each phase is linear elastic but the stiffness of one of the phases is progressively reduced anisotropically to simulate the growth of microcracks under tension. This damage, in any orientation, is proportional to the normal tensile traction in that direction and no damage is produced by compressive stresses. The damage is recorded as a damage orientation function held numerically at 20 orientations.

The model is specifically designed to be used in the pre-peak region of the stress–strain curve and to be robust in use in finite element programs. To this end, while the stresses in the phases are determined assuming that the strains in each phase are equal, the overall compliance of the composite is calculated from the complementary energy.

The model reproduces non-linear stress–strain behaviour when loaded in tension and, because of the thermal mismatch, also shows permanent deformation on the removal of the load. A user defined subroutine has been written for the commercial finite element program ABAQUS and used to simulate an experimental test on a commercial refractory and the results compared with experimental data. The UMAT is also used to simulate a hollow axisymmetric cylinder in generalised plane strain subject to moderately rapid heating on the inner surface; and the results for linear elasticity and the damaging model are compared.
Original languageEnglish
Pages (from-to)862-870
Number of pages9
JournalComputational Materials Science
Volume39
Issue number4
Early online date1 Dec 2006
DOIs
Publication statusPublished - Jun 2007

Fingerprint

Computational Model
Damage
ceramics
damage
Three-dimensional
Subroutines
ABAQUS
Microcracks
Finite Element
Constitutive models
Compressive stress
subroutines
Refractory materials
Thermal expansion
Thermal Expansion
Elasticity
traction
microcracks
plane strain
Linear Elasticity

Keywords

  • composites
  • fracture
  • thermal properties
  • thermal shock resistance
  • refractories
  • modelling
  • ceramic
  • damage

Cite this

A three dimensional computational model of the mechanical response of a dual-phase ceramic. / Sands, C.M.; Henderson, R.J.; Chandler, H.W.

In: Computational Materials Science, Vol. 39, No. 4, 06.2007, p. 862-870.

Research output: Contribution to journalArticle

@article{6621f34325284fee8f466bf3feafaec7,
title = "A three dimensional computational model of the mechanical response of a dual-phase ceramic",
abstract = "This paper presents a constitutive model of a fired ceramic consisting of two phases each with a different thermal expansion coefficient. Each phase is linear elastic but the stiffness of one of the phases is progressively reduced anisotropically to simulate the growth of microcracks under tension. This damage, in any orientation, is proportional to the normal tensile traction in that direction and no damage is produced by compressive stresses. The damage is recorded as a damage orientation function held numerically at 20 orientations. The model is specifically designed to be used in the pre-peak region of the stress–strain curve and to be robust in use in finite element programs. To this end, while the stresses in the phases are determined assuming that the strains in each phase are equal, the overall compliance of the composite is calculated from the complementary energy. The model reproduces non-linear stress–strain behaviour when loaded in tension and, because of the thermal mismatch, also shows permanent deformation on the removal of the load. A user defined subroutine has been written for the commercial finite element program ABAQUS and used to simulate an experimental test on a commercial refractory and the results compared with experimental data. The UMAT is also used to simulate a hollow axisymmetric cylinder in generalised plane strain subject to moderately rapid heating on the inner surface; and the results for linear elasticity and the damaging model are compared.",
keywords = "composites, fracture, thermal properties, thermal shock resistance, refractories, modelling, ceramic, damage",
author = "C.M. Sands and R.J. Henderson and H.W. Chandler",
year = "2007",
month = "6",
doi = "10.1016/j.commatsci.2006.10.015",
language = "English",
volume = "39",
pages = "862--870",
journal = "Computational Materials Science",
issn = "0927-0256",
publisher = "Elsevier",
number = "4",

}

TY - JOUR

T1 - A three dimensional computational model of the mechanical response of a dual-phase ceramic

AU - Sands, C.M.

AU - Henderson, R.J.

AU - Chandler, H.W.

PY - 2007/6

Y1 - 2007/6

N2 - This paper presents a constitutive model of a fired ceramic consisting of two phases each with a different thermal expansion coefficient. Each phase is linear elastic but the stiffness of one of the phases is progressively reduced anisotropically to simulate the growth of microcracks under tension. This damage, in any orientation, is proportional to the normal tensile traction in that direction and no damage is produced by compressive stresses. The damage is recorded as a damage orientation function held numerically at 20 orientations. The model is specifically designed to be used in the pre-peak region of the stress–strain curve and to be robust in use in finite element programs. To this end, while the stresses in the phases are determined assuming that the strains in each phase are equal, the overall compliance of the composite is calculated from the complementary energy. The model reproduces non-linear stress–strain behaviour when loaded in tension and, because of the thermal mismatch, also shows permanent deformation on the removal of the load. A user defined subroutine has been written for the commercial finite element program ABAQUS and used to simulate an experimental test on a commercial refractory and the results compared with experimental data. The UMAT is also used to simulate a hollow axisymmetric cylinder in generalised plane strain subject to moderately rapid heating on the inner surface; and the results for linear elasticity and the damaging model are compared.

AB - This paper presents a constitutive model of a fired ceramic consisting of two phases each with a different thermal expansion coefficient. Each phase is linear elastic but the stiffness of one of the phases is progressively reduced anisotropically to simulate the growth of microcracks under tension. This damage, in any orientation, is proportional to the normal tensile traction in that direction and no damage is produced by compressive stresses. The damage is recorded as a damage orientation function held numerically at 20 orientations. The model is specifically designed to be used in the pre-peak region of the stress–strain curve and to be robust in use in finite element programs. To this end, while the stresses in the phases are determined assuming that the strains in each phase are equal, the overall compliance of the composite is calculated from the complementary energy. The model reproduces non-linear stress–strain behaviour when loaded in tension and, because of the thermal mismatch, also shows permanent deformation on the removal of the load. A user defined subroutine has been written for the commercial finite element program ABAQUS and used to simulate an experimental test on a commercial refractory and the results compared with experimental data. The UMAT is also used to simulate a hollow axisymmetric cylinder in generalised plane strain subject to moderately rapid heating on the inner surface; and the results for linear elasticity and the damaging model are compared.

KW - composites

KW - fracture

KW - thermal properties

KW - thermal shock resistance

KW - refractories

KW - modelling

KW - ceramic

KW - damage

U2 - 10.1016/j.commatsci.2006.10.015

DO - 10.1016/j.commatsci.2006.10.015

M3 - Article

VL - 39

SP - 862

EP - 870

JO - Computational Materials Science

JF - Computational Materials Science

SN - 0927-0256

IS - 4

ER -