Table Of ContentAdvanced Ceramics and Composites 5
Series Editor: Longbiao Li
Longbiao Li
Vibration
Behavior in
Ceramic-Matrix
Composites
Advanced Ceramics and Composites
Volume 5
Series Editor
Longbiao Li , College of Civil Aviation, Nanjing University of Aeronautics
and Astronautics, Nanjing, Jiangsu, China
The book series “Advanced Ceramics and Composites” publishes insights and latest
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multidisciplinary aspects of Advanced Ceramics and Composites.
The objective of the book series is to publish monographs, reference works,
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references to a wide audience in research community in materials science, research
and development personnel of ceramic and composite materials, industry practi-
tioners and anyone else who are looking to expand their knowledge of ceramics and
composites.
Longbiao Li
Vibration Behavior
in Ceramic-Matrix
Composites
Longbiao Li
College of Civil Aviation
Nanjing University of Aeronautics
and Astronautics
Nanjing, Jiangsu, China
ISSN 2662-9305 ISSN 2662-9313 (electronic)
Advanced Ceramics and Composites
ISBN 978-981-19-7837-1 ISBN 978-981-19-7838-8 (eBook)
https://doi.org/10.1007/978-981-19-7838-8
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To My Son Shengning Li
Preface
Ceramic-matrix composites (CMCs) possess a great potential for the application in
hot-section components of aeroengines due to their low density, high-temperature
resistance, and oxidation resistance. The high-temperature components in aero-
engines mainly include combustion chambers, turbines, and nozzles. Currently,
the temperature resistance limit of high-temperature alloys is maintained around
1100 oC, but the application of CMCs increases the temperature resistance of hot-
section components to 1200–1350 oC, and the mass of CMC components is usually
1/4–1/3 of the mass of nickel-based alloy components, which can reduce the specific
fuel consumption by increasing the operating temperature and reducing the mass of
components. This book focuses on the vibration behavior in CMCs, as follows:
•
The vibration natural frequency of 2D SiC/SiC composite under tensile loading
was investigated. Nonlinear damage and fracture are mainly attributed to damage
mechanisms of matrix cracking, interface debonding, and fibers fracture. Under
cyclic loading/unloading, hysteresis loops appeared due to internal frictional slip
between the fiber and the matrix and the natural frequency were obtained for
different peak stress. A micromechanical tensile and cyclic loading/unloading
constitutive model was adopted to predict the tensile curves. Microdamage param-
eters of interface debonding ratio and broken fibers fraction were used to char-
acterize tensile damage and fracture. Relationships between natural frequency,
interface debonding, and fibers fracture were established.
•
The vibration damping in fiber-reinforced CMCs was investigated considering
fibers debonding and fracture. Micromehcanical vibration damping models were
developed considering multiple damage mechanisms. Relationships between the
damping of CMCs, damping of fiber and the matrix, damping caused by fric-
tional slip between the fiber and the matrix, and fiber debonding and fracture
were established. Effects of fiber volume, matrix crack spacing, interface shear
stress, interface debonding energy, fiber strength and fiber Weibull modulus on
the damping of CMCs, interface debonding and slip between the fiber and the
matrix, and fiber broken fraction were analyzed. Experimental damping of 2D
C/SiC composite was predicted.
vii
viii Preface
•
The temperature-dependent vibration damping in C/SiC composites with different
fiber preforms under different vibration frequencies was investigated. A microme-
chanical temperature-dependent vibration damping model was developed to estab-
lish the relationship between composite damping, material properties, internal
damage mechanisms, and temperature. Effects of fiber volume, matrix crack
spacing, and interface properties on temperature-dependent vibration damping of
CMCs and interface damage were analyzed. Experimental temperature-dependent
composite damping of 2D and 3D C/SiC composites was predicted for different
loading frequencies.
•
A time-dependent vibration damping model of fiber-reinforced CMCs was devel-
oped. Considering time-and temperature-dependent interface damages of oxida-
tion, debonding, and slip, relationships between composite vibration damping,
material properties, internal damages, oxidation duration, and temperature were
established. Effects of material properties, vibration stress, damage state, and
oxidation temperature on time-dependent composite vibration damping and
interface damages of C/SiC composite were discussed.
•
A cyclic-dependent vibration damping model of fiber-reinforced CMCs was
developed. Combining cyclic-dependent damage mechanisms, damage models,
and dissipated energy model, relationships between composite vibration damping,
cyclic-dependent damage mechanisms, vibration stress, and applied cycle number
were established. Effects of material properties and damage state on composite
vibration damping were analyzed for different applied cycle number and vibration
stress. Experimental composite vibration damping of 2D and 3D C/SiC compos-
ites without/with coating was predicted for different vibration frequencies and
applied cycle number.
I hope this book can help the material scientists and engineering designers to
understand and master the vibration behavior of ceramic-matrix composites.
Nanjing, China Longbiao Li
September 2022
Contents
1 Introduction ................................................... 1
1.1 Application Background of Ceramic-Matrix Composites ......... 1
1.2 Vibration Behavior in Ceramic-Matrix Composites .............. 3
1.2.1 Vibration Natural Frequency of CMCs .................. 3
1.2.2 Vibration Damping of CMCs .......................... 5
1.3 Summary and Conclusions ................................... 11
References ..................................................... 14
2 Vibration Natural Frequency of Ceramic-Matrix Composites ...... 15
2.1 Introduction ............................................... 15
2.2 Materials and Experimental Procedures ........................ 16
2.3 Theoretical Models ......................................... 16
2.4 Results and Discussions ..................................... 17
2.5 Summary and Conclusions ................................... 19
References ..................................................... 20
3 Vibration Damping of Ceramic-Matrix Composites
Considering Fiber Debonding and Fracture ....................... 21
3.1 Introduction ............................................... 21
3.2 Micromechanical Damping Models of Ceramic-Matrix
Composites ................................................ 22
3.2.1 Damping in Intact Ceramic-Matrix Composites ........... 24
3.2.2 Damping in Damaged Ceramic-Matrix Composites ....... 25
3.3 Result and Discussion ....................................... 28
3.3.1 Effect of Fiber Volume on Damping of Ceramic-Matrix
Composites ......................................... 28
3.3.2 Effect of Matrix Crack Spacing on Damping
of Ceramic-Matrix Composites ........................ 30
3.3.3 Effect of Interface Shear Stress on Damping
of Ceramic-Matrix Composites ........................ 31
3.3.4 Effect of Interface Debonding Energy on Damping
of Ceramic-Matrix Composites ........................ 31
ix
x Contents
3.3.5 Effect of Fiber Strength on Damping
of Ceramic-Matrix Composites ........................ 33
3.3.6 Effect of Fiber Weibull Modulus on Damping
of Ceramic-Matrix Composites ........................ 35
3.3.7 Comparison of Damping of Ceramic-Matrix
Composites without/with Considering Fiber Failure ....... 37
3.4 Experimental Comparison ................................... 39
3.5 Summary and Conclusion ................................... 41
References ..................................................... 41
4 Temperature-Dependent Vibration Damping
of Ceramic-Matrix Composites .................................. 43
4.1 Introduction ............................................... 43
4.2 Temperature-Dependent Micromechanical Vibration
Damping Models ........................................... 44
4.3 Results and Discussions ..................................... 47
4.3.1 Effect of Fiber Volume on Temperature-Dependent
Damping of C/SiC Composite ......................... 48
4.3.2 Effect of Matrix Crack Spacing
on Temperature-Dependent Damping of C/SiC
Composite .......................................... 48
4.3.3 Effect of Interface Debonding Energy
on Temperature-Dependent Damping of C/SiC
Composite .......................................... 50
4.3.4 Effect of Steady-State Interface Shear Stress
on Temperature-Dependent Damping of C/SiC
Composite .......................................... 52
4.4 Experimental Comparisons .................................. 54
4.4.1 2D C/SiC ........................................... 54
4.4.2 3D C/SiC ........................................... 58
4.5 Discussions ................................................ 67
4.6 Summary and Conclusions ................................... 68
References ..................................................... 68
5 Time-Dependent Vibration Damping of Ceramic-Matrix
Composites .................................................... 71
5.1 Introduction ............................................... 71
5.1.1 Time-Dependent Micromechanical Vibration
Damping Models .................................... 72
5.2 Results and Discussion ...................................... 75
5.2.1 Effect of Fiber Volume on Time-Dependent Vibration
Damping of C/SiC Composite ......................... 76
5.2.2 Effect of Vibration Stress on Time-Dependent
Vibration Damping of C/SiC Composite ................. 79
5.2.3 Effect of Matrix Crack Spacing on Time-Dependent
Vibration Damping of C/SiC Composite ................. 82
