Transformation-mismatch plasticity of NiAl/ZrO2 composites-finite-element modeling

Peter Zwigl; David C. Dunand

doi:10.1016/S0921-5093(01)01901-3

Transformation-mismatch plasticity of NiAl/ZrO₂ composites-finite-element modeling

Peter Zwigl, David C. Dunand^*

^*Corresponding author for this work

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

7 Scopus citations

Abstract

A coupled thermo-mechanical finite-element model was developed to described transformation-mismatch plasticity resulting from mismatch stresses produced by allotropic particles within a creeping matrix. A composite consisting of a NiAl matrix with 10 vol.% zirconia allotropic particles was modeled in two dimensions for a range of externally-applied stress values. The instantaneous composite strain developed during the zirconia transformation is found to increase linearly with the applied stress, in agreement with continuum-mechanical, closed-form models for transformation-mismatch plasticity. This instantaneous strain is smaller than the total strain accumulated over a half temperature cycle, indicating that mismatch stresses produced during the transformation relax by matrix creep long after the particles have transformed. Also, the total composite strain calculated after a full temperature cycle is in good agreement with strains determined experimentally on a NiAl-10% ZrO₂ composite. Finally, the internal stress distribution within the transforming composite is determined numerically and compared to simple analytical averages.

Original language	English (US)
Pages (from-to)	128-136
Number of pages	9
Journal	Materials Science and Engineering A
Volume	335
Issue number	1-2
DOIs	https://doi.org/10.1016/S0921-5093(01)01901-3
State	Published - Sep 25 2002

Keywords

Finite-element modeling
NiAl
Phase transformations
Superplasticity
ZrO

ASJC Scopus subject areas

Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

Access to Document

10.1016/S0921-5093(01)01901-3

Cite this

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title = "Transformation-mismatch plasticity of NiAl/ZrO2 composites-finite-element modeling",

abstract = "A coupled thermo-mechanical finite-element model was developed to described transformation-mismatch plasticity resulting from mismatch stresses produced by allotropic particles within a creeping matrix. A composite consisting of a NiAl matrix with 10 vol.% zirconia allotropic particles was modeled in two dimensions for a range of externally-applied stress values. The instantaneous composite strain developed during the zirconia transformation is found to increase linearly with the applied stress, in agreement with continuum-mechanical, closed-form models for transformation-mismatch plasticity. This instantaneous strain is smaller than the total strain accumulated over a half temperature cycle, indicating that mismatch stresses produced during the transformation relax by matrix creep long after the particles have transformed. Also, the total composite strain calculated after a full temperature cycle is in good agreement with strains determined experimentally on a NiAl-10% ZrO2 composite. Finally, the internal stress distribution within the transforming composite is determined numerically and compared to simple analytical averages.",

keywords = "Finite-element modeling, NiAl, Phase transformations, Superplasticity, ZrO",

author = "Peter Zwigl and Dunand, {David C.}",

note = "Funding Information: This study was supported by the US Army Research Office (grant DAAH004-95-1-0629) when both authors were in the Department of Materials Science and Engineering of the Massachusetts Institute of Technology. DCD further acknowledges the support of AMAX in the form of a career development chair at MIT. The authors also thank Professor H. Lehar (Innsbruck University) and Dr. C. Schuh (Northwestern University) for useful discussions as well as the computer center of Innsbruck University on which computers all calculations were performed. ",

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N2 - A coupled thermo-mechanical finite-element model was developed to described transformation-mismatch plasticity resulting from mismatch stresses produced by allotropic particles within a creeping matrix. A composite consisting of a NiAl matrix with 10 vol.% zirconia allotropic particles was modeled in two dimensions for a range of externally-applied stress values. The instantaneous composite strain developed during the zirconia transformation is found to increase linearly with the applied stress, in agreement with continuum-mechanical, closed-form models for transformation-mismatch plasticity. This instantaneous strain is smaller than the total strain accumulated over a half temperature cycle, indicating that mismatch stresses produced during the transformation relax by matrix creep long after the particles have transformed. Also, the total composite strain calculated after a full temperature cycle is in good agreement with strains determined experimentally on a NiAl-10% ZrO2 composite. Finally, the internal stress distribution within the transforming composite is determined numerically and compared to simple analytical averages.

AB - A coupled thermo-mechanical finite-element model was developed to described transformation-mismatch plasticity resulting from mismatch stresses produced by allotropic particles within a creeping matrix. A composite consisting of a NiAl matrix with 10 vol.% zirconia allotropic particles was modeled in two dimensions for a range of externally-applied stress values. The instantaneous composite strain developed during the zirconia transformation is found to increase linearly with the applied stress, in agreement with continuum-mechanical, closed-form models for transformation-mismatch plasticity. This instantaneous strain is smaller than the total strain accumulated over a half temperature cycle, indicating that mismatch stresses produced during the transformation relax by matrix creep long after the particles have transformed. Also, the total composite strain calculated after a full temperature cycle is in good agreement with strains determined experimentally on a NiAl-10% ZrO2 composite. Finally, the internal stress distribution within the transforming composite is determined numerically and compared to simple analytical averages.

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