Stresses and distortion due to green density gradients during densification

Sam E. Schoenberg, David J. Green, Albert Eliot Segall, Gary Lynn Messing, Abraham S. Grader, Phillip M. Halleck

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

Finite element analysis (FEA) was performed on a bi-layer cylindrical structure consisting of a low-density layer on top of a high-density layer. For this model, the layers used the shrinkage behavior, viscosity, and elastic properties of barium titanate determined for the 45% and 55% green densities. The stresses predicted by FEA showed good agreement with stresses predicted using analytical equations for a linear viscous bi-layer cylinder. The model was then extended to use more complex density gradients measured by X-ray computed tomography on a bilayer compact. In this case, the shrinkage behavior and viscosity properties were extrapolated from the experimental data. In the subsequent simulation, the stresses and strains were predicted during sintering. For the bi-layer structure studied, a highly stressed region was identified on the free surface of the sintering compact and this was shown to lead to edge cracking during densification.

Original languageEnglish (US)
Pages (from-to)3027-3033
Number of pages7
JournalJournal of the American Ceramic Society
Volume89
Issue number10
DOIs
StatePublished - Oct 2006

Fingerprint

Densification
Sintering
Viscosity
Finite element method
Barium titanate
Tomography
X rays

All Science Journal Classification (ASJC) codes

  • Ceramics and Composites

Cite this

Schoenberg, Sam E. ; Green, David J. ; Segall, Albert Eliot ; Messing, Gary Lynn ; Grader, Abraham S. ; Halleck, Phillip M. / Stresses and distortion due to green density gradients during densification. In: Journal of the American Ceramic Society. 2006 ; Vol. 89, No. 10. pp. 3027-3033.
@article{55a75dd07af2426eb130bdf63867b0ac,
title = "Stresses and distortion due to green density gradients during densification",
abstract = "Finite element analysis (FEA) was performed on a bi-layer cylindrical structure consisting of a low-density layer on top of a high-density layer. For this model, the layers used the shrinkage behavior, viscosity, and elastic properties of barium titanate determined for the 45{\%} and 55{\%} green densities. The stresses predicted by FEA showed good agreement with stresses predicted using analytical equations for a linear viscous bi-layer cylinder. The model was then extended to use more complex density gradients measured by X-ray computed tomography on a bilayer compact. In this case, the shrinkage behavior and viscosity properties were extrapolated from the experimental data. In the subsequent simulation, the stresses and strains were predicted during sintering. For the bi-layer structure studied, a highly stressed region was identified on the free surface of the sintering compact and this was shown to lead to edge cracking during densification.",
author = "Schoenberg, {Sam E.} and Green, {David J.} and Segall, {Albert Eliot} and Messing, {Gary Lynn} and Grader, {Abraham S.} and Halleck, {Phillip M.}",
year = "2006",
month = "10",
doi = "10.1111/j.1551-2916.2006.01182.x",
language = "English (US)",
volume = "89",
pages = "3027--3033",
journal = "Journal of the American Ceramic Society",
issn = "0002-7820",
publisher = "Wiley-Blackwell",
number = "10",

}

Stresses and distortion due to green density gradients during densification. / Schoenberg, Sam E.; Green, David J.; Segall, Albert Eliot; Messing, Gary Lynn; Grader, Abraham S.; Halleck, Phillip M.

In: Journal of the American Ceramic Society, Vol. 89, No. 10, 10.2006, p. 3027-3033.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Stresses and distortion due to green density gradients during densification

AU - Schoenberg, Sam E.

AU - Green, David J.

AU - Segall, Albert Eliot

AU - Messing, Gary Lynn

AU - Grader, Abraham S.

AU - Halleck, Phillip M.

PY - 2006/10

Y1 - 2006/10

N2 - Finite element analysis (FEA) was performed on a bi-layer cylindrical structure consisting of a low-density layer on top of a high-density layer. For this model, the layers used the shrinkage behavior, viscosity, and elastic properties of barium titanate determined for the 45% and 55% green densities. The stresses predicted by FEA showed good agreement with stresses predicted using analytical equations for a linear viscous bi-layer cylinder. The model was then extended to use more complex density gradients measured by X-ray computed tomography on a bilayer compact. In this case, the shrinkage behavior and viscosity properties were extrapolated from the experimental data. In the subsequent simulation, the stresses and strains were predicted during sintering. For the bi-layer structure studied, a highly stressed region was identified on the free surface of the sintering compact and this was shown to lead to edge cracking during densification.

AB - Finite element analysis (FEA) was performed on a bi-layer cylindrical structure consisting of a low-density layer on top of a high-density layer. For this model, the layers used the shrinkage behavior, viscosity, and elastic properties of barium titanate determined for the 45% and 55% green densities. The stresses predicted by FEA showed good agreement with stresses predicted using analytical equations for a linear viscous bi-layer cylinder. The model was then extended to use more complex density gradients measured by X-ray computed tomography on a bilayer compact. In this case, the shrinkage behavior and viscosity properties were extrapolated from the experimental data. In the subsequent simulation, the stresses and strains were predicted during sintering. For the bi-layer structure studied, a highly stressed region was identified on the free surface of the sintering compact and this was shown to lead to edge cracking during densification.

UR - http://www.scopus.com/inward/record.url?scp=33748923962&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33748923962&partnerID=8YFLogxK

U2 - 10.1111/j.1551-2916.2006.01182.x

DO - 10.1111/j.1551-2916.2006.01182.x

M3 - Article

VL - 89

SP - 3027

EP - 3033

JO - Journal of the American Ceramic Society

JF - Journal of the American Ceramic Society

SN - 0002-7820

IS - 10

ER -