Mechanical Properties of MAX Phases
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MAX Phase Materials are uniquely structured carbide and nitride materials which combine the rigidity, oxidation-resistance and high-temperature strength of ceramic materials with such metallic properties as good machinability, thermal-shock resistance, damage-tolerance and good transport properties. Potential applications include microelectronic
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Mechanical Properties of MAX Phases - David J. Fisher
Copyright © 2021 by the author
Published by Materials Research Forum LLC
Millersville, PA 17551, USA
All rights reserved. No part of the contents of this book may be reproduced or transmitted in any form or by any means without the written permission of the publisher.
Published as part of the book series
Materials Research Foundations
Volume 97 (2021)
ISSN 2471-8890 (Print)
ISSN 2471-8904 (Online)
Print ISBN 978-1-64490-126-7
ePDF ISBN 978-1-64490-127-4
Print ISBN 978-1-64490-801-3 (e-book)
This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint.
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Table of Contents
Introduction
Cr2AlC
Hardness
Creep
Elastic constants
Cr2GeC
Hardness
Elastic constants
(Cr,Ti)3AlC2
Hardness
Hf3AIC2
Hardness
Hf2InC
Elastic constants
Hf2PbC
Elastic constants
Hf3PB4
Hardness
Ir2YSi
Hardness
Lu2SnC
Hardness
MoAIB
Hardness
Mo2Ga2C
Hardness
Mo2GeC
Elastic constants
Mo2HoC
Hardness
Mo2ScAIC2
Hardness
Mo2Ti2AlC3
Hardness
Mo2TiAlC2
Hardness
Nb2AlC
Hardness
Nb4AlC3
Hardness
Elastic constants
Nb2CuC
Hardness
Nb2GeC
Hardness
Elastic constants
Nb2PC
Elastic constants
Nb4SiC3
Hardness
Nb2SnC
Hardness
(Nb,Zr)4AlC3
Hardness
Sc2InB
Hardness
Sc2InC
Hardness
Sc3SnB
Hardness
ScTaN2
Hardness
Ta4AlC3
Hardness
Ta2InC
Elastic constants
Ti2AlC
Hardness
Toughness
Ti3AlC
Elastic constants
Ti3AlC2
Hardness
Elastic constants
Toughness
Creep
Ti2Al(C,N)
Elastic constants
Ti2AlN
Creep
Elastic constants
Ti4AlN3
Hardness
Ti3(Al,Si)C2
Hardness
Ti3(Al,Si,Sn)C2
Hardness
Ti2(AI,Sn)C
Hardness
Ti2AsC
Elastic constants
Ti2GeC
Elastic Constants
Ti3GeC2
Hardness
Elastic constants
Ti2InB2
Hardness
(Ti,Mo)2AlC
Hardness
Toughness
Ti2SC
Hardness
Elastic constants
Ti3(Si,Al)C2
Hardness
TiSiC
Hardness
Ti3SiC2
Hardness
Elastic constants
Ti2SiN
Hardness
Ti3(Sn,Al)C2
Elastic constants
Ti2SnC
Elastic constants
Ti3SnC2
Hardness
(Ti,V)2AlC
Hardness
Elastic constants
V2AlC
Hardness
Elastic constants
V4AlC3
Hardness
Elastic constants
Y5Si2B8
Elastic constants
Zr2AlC
Hardness
Elastic constants
Zr3AlC2
Hardness
Zr2Al3C5
Elastic Constants
Zr2(Al,Bi)C
Hardness
(Zr,Nb)2AlC
Hardness
(Zr,Ti)3AlC2
Hardness
Elastic constants
About the Author
Materials Index
References
Introduction
These are materials which generally comprise three principal elements, perhaps with others in solid solution, and have great potential importance in fields ranging from the electronic to the mechanical. The present work is concerned only with the mechanical properties, and the primary attraction here is that these materials exhibit properties which can simultaneously be both metallic and ceramic in nature.
Their name arises from the designations of the three elements, with M being a transition metal, A usually being another metal or metalloid (cadmium, aluminium, tin, lead, gallium, indium, thallium, silicon, germanium, phosphorus, arsenic, sulfur) and X being carbon or nitrogen. In recent years, a similar class of materials has attracted interest. In these, the third element is boron. These are known as MAB phases, and a number of them are included in the present work, for comparison purposes. The M, A and X elements are present in simple numerical ratios, and the various types of MAX phases are conveniently designated by that ratio. The 211-type phases are of the form, M2AX. This is one of the largest groups and these phases possess a nanolaminate structure within which blocs of a M2X, carbide or nitride, are separated by monatomic layers of A. Due to a high crystal symmetry, the structure is conveniently defined merely by the a and c lattice constants and the interplanar separation of the M and X layers. As well as the layering of the structure, the nature of the bonding, covalent or ionic or metallic, is important. Another useful feature is that the chemistry of a MAX phase can be easily changed without affecting the structure.
These nanolaminates generally consist of hexagonal carbide or nitride blocs and planar A atomic sheets with a zig-zag stacking along the z-axis. It is this layered structure which imparts to the phases an unusual combination of ceramic and metallic properties. Among the ceramic properties are rigidity, oxidation-resistance and high-temperature strength. Among the metallic properties are machinability, thermal-shock resistance, damage-tolerance and good transport properties. The MAX phases are relatively soft and the Vickers hardness values of polycrystalline samples tend to range from 2 to 8GPa, making them generally softer than structural ceramics but harder than metals.
The essentially two-dimensional nature of these phases means that the dislocations also tend to be confined to the two dimensions of the basal planes upon which the dislocations glide. This facilitates the general understanding of their deformation. Knowledge of the fundamental elastic constants, rather than of specific properties, is instead found be of especial interest because they closely govern a wide spectrum of properties which range from machinability to tribology. Various simple criteria can be applied to the values of the elastic constants in order to predict possibly useful mechanical properties. The machinability, for example, is quite closely correlated with the ratio of the bulk modulus to the C44 elastic constant, while ductility is related to the value of the so-called Pugh ratio of the bulk modulus to the shear modulus. In what follows, these considerations are explored for a wide selection of representative MAX phases, with priority being given to the most recent theoretical and experimental results complete to early 2021.
Figure 1. Structure of Cr2AlC grey: carbon, red: chromium, blue: aluminium (a = 2.86Å, c = 12.8Å,, theoretical density = 5.24g/cm³)
Cr2AlC
Hardness
Thin (1.2μm) crystalline films of this phase (figure 1), first reported in 1963¹, were deposited² layer-by-layer, using magnetron sputtering of elemental targets, onto polished Inconel 718 substrates at 853K. The hardness was about 15GPa and the Young's modulus was about 260GPa. The films did not delaminate, and exhibited ductile behaviour during nanoscratching. Nanolamellar coatings with a columnar structure and nanocrystalline sub-structure were direct-current magnetron sputter-deposited³ onto Inconel 718 superalloy or (100) silicon wafers and the properties were measured by nano-indentation. The deposition rate increased with sputtering power and the coatings comprised Cr2AlC AlCr2 and Cr7C3 carbide phases, while there was a change in the preferred growth orientation. The hardness ranged from 11 to 14GPa, and increased slightly with sputtering power. The mechanical properties (figures 2 and 3) of high-density pure samples at up to 980C were determined⁴ by nano-indentation before and after oxidation at 1200C for over 29h. There was only a slight reduction in hardness and modulus at up to 980C; implying that there was no change in the deformation mechanism. In further work⁵, the film thickness decreased from 8.95 to 6.98μm with increasing bias voltage. Coatings which were deposited at 90V exhibited the least (33nm) roughness and grain-size (76nm), combined with the greatest (15.9GPa) hardness.
Figure 2. Indentation hardness of Cr2AlC as a function of temperature
Figure 3. Young’s modulus of Cr2AlC as a function of temperature
The effect of the aluminium content upon the mechanical properties was investigated⁶ in vacuum-annealed Cr-Al-C coatings which had been deposited by the co-sputtering of Cr2Al and aluminium targets in a CH4/Ar atmosphere. Following vacuum-annealing (750C, 1.5h), the coatings comprised Cr2AlC, Al8Cr5 and Cr7C3. With increasing aluminium content, the hardness and modulus of the coatings increased from 10.17 to 19.00GPa and from 198.43 to 267.62GPa, respectively. The toughness clearly decreased. The excess aluminium led to Al8Cr5 and aluminium segregation at grain boundaries and to deterioration of the mechanical properties. When Cr2AlC coatings were prepared on high-speed steel substrates by direct-current magnetron sputtering, combined with subsequent heat-treatment⁷, their formation was suppressed by