Flexible Ceramic Nanobrous Aerogels with Hierarchically Entangled Graphene Networks Enable Full-Frequency Noise Absorption

Trac noise pollution has posed a huge burden to the global economy, ecological environment, and human health. However, most present trac noise reduction materials suffer from a narrow absorbing band, high weights, and poor temperature resistance. Here, we demonstrate a facile strategy to create exible ceramic nanobrous aerogels (GCNAs) with hierarchically entangled graphene networks, which integrate unique hierarchical structures of opened cells, closed-cell walls, and entangled networks. Under the precondition of independent of chemical crosslinking, high enhancement in buckling and compression performances of GCNAs is achieved by forming hierarchically entangled structures in all three-dimensional space. Moreover, the exible GCNAs show striking full-frequency noise absorption performances (noise reduction coecient of 0.56 in 63~6300 Hz) and lightweight features (9.3 mg cm -3 ), together with robust temperature-invariant stability in –100~500 °C. This strategy paves the way for the design of novel brous materials for highly ecient full-frequency noise absorption.


Introduction
With the rapid development of the transportation industry, tra c noise pollution, as the hidden killer of the global economy, ecological environment, and human health, has become increasingly serious. 1,2 According to the World Health Organization, there are more than 466 million people worldwide who suffer from disabling hearing loss that is mostly caused by exposure to noise, which causes total annual economic losses of over $750 billion. 3 Therefore, e cient tra c noise reduction methods are of great importance for eliminating unwanted sound. Fibrous materials with the advantages of porous structure and tortuous channels, which could enhance friction and dissipation of sound waves, thus showing good high-frequency absorption performance. 4 Previous efforts were focused on using cost-effective brous materials as the core components for constructing noise-absorber. [4][5][6] However, due to the inherent limitations of large ber diameter (usually >5 μm) and low porosity (typically <60%), the fatal defects of poor absorption of low-frequency noise that is easily produced by vehicles remain for the conventional micro brous noise-absorbing materials. [7][8][9] To address this problem, it is necessary to increase the thickness or density of the brous materials, while which in turn lead to high weights (>50 mg cm -3 ) and decreasing consumption of high-frequency sound waves. [10][11][12] Moreover, the vehicle's space left for sound-absorbing materials is limited, and increasing the density will improve fuel consumption, which violates the principle of energy saving. Most importantly, the ammable characteristic of synthetic brous sound-absorbing materials gives rise to poor thermostability, which is dangerous especially using near the engine and hood. [13][14][15][16] Therefore, great efforts are required to create a specialized and practicable brous sound-absorbing material for the e cient reduction of full-frequency noise.
Compared with micro bers, electrospun nano bers show effective improvement in noise absorption performances due to their small diameter and large speci c surface area. 8,17,18 However, lamellar deposition character usually induces nano bers to assemble into densely packed two-dimensional (2D) membranes (thickness <50 μm and porosity <80%), thus greatly limiting the dissipation of acoustic energy. [19][20][21][22] Most recently, three-dimensional (3D) nano brous aerogel, as the forefront of advanced brous materials, combining small ber diameter, high porosity (>95%), and bulk structure, have shown vast perspectives in the eld of tra c noise reduction. [23][24][25][26] A few polymer-based nano brous soundabsorbing aerogels have been successfully constructed and show enhanced sound absorption performance in contrast to 2D membranes. 19,[27][28][29] Unfortunately, due to the monotonous and uncontrollable structure, totally opened cells, and highly connected macropore structure, existing nano brous aerogels still face a narrow absorbing band (>1000 Hz) and poor mechanical performance. 19,27 Although the extra chemical crosslinking can improve the mechanical strength of aerogels to a certain extent, the randomly distributed and unstable crosslinking points greatly limit the improvement of mechanical properties. 19,30 Moreover, low decomposition temperature (<150 °C) of polymer-based aerogels easily causes structural collapse at high temperatures, and a few present ceramic nano brous aerogels are robust heat-resistant but suffer from stubborn brittleness with little deformation. Therefore, the challenge remains for constructing light-weight and thermostable nano brous sound-absorbing aerogels with good structural stability and full-frequency noise reduction.
Herein, we demonstrate a robust and facile strategy to create exible ceramic nano brous aerogels (GCNAs) with hierarchically entangled graphene networks by integrating an in-situ co-assembly technique and a green reduction approach. Attributing to the unique hierarchically entangled structure composed of exible ceramic nano ber and reduced graphene oxide (rGO), the obtained GCNAs present integrated features of ultralow bulk density (2 mg cm −3 ), temperature-invariant superelasticity, good bendability, and desired thermal stability. Moreover, the sandwiched lamellar architectures in the thickness direction of GCNAs enable a versatile multi-interface re ection behavior, thus achieving good full-frequency sound absorption performances (noise reduction coe cient of 0.56). Besides, the green reduction process also endows the GCNAs with enhanced moisture insulation (water contact angle of 143°). We anticipate that the successful synthesis of the sandwiched GCNAs could break the bottlenecks of the narrow absorption band faced by traditional sound absorbers, thereby providing a new vision for developing high-e ciency tra c noise reduction materials.

Results
Fabrication and hierarchically entangled structure of exible GCNAs. To meet the requirements of superior noise reduction property, desired structural stability, and good thermal endurance of tra c noiseabsorbing materials, we prepared exible GCNAs in consideration of the following four demands: 1) There should be well-interconnected opened channels parallel to the direction of acoustic waves and closed-cell wall perpendicular to the direction of sound waves in GCNAs, which not only ensure the dissipation of sound waves but also prevent the sound wave from transmission through the materials. 2) The GCNAs should possess robust mechanical performance to guarantee their long-term application stability.
3) The GCNAs must have good thermal endurance to ensure safety in the high-temperature environment; meanwhile, the materials should be lightweight to reduce the energy consumption of vehicles. 4) The GCNAs should have a constantly variable assembly architecture in the thickness direction to achieve multi-interface re ection and gradually consume the full-frequency sound wave. To satisfy the rst three requirements, exible SiO 2 nano bers (SNFs) with good thermal stability were chosen as the building block to assemble brous framework structure; meanwhile, 2D GO nanosheets with good exibility were selected as binder and macropore blocking agent to build effective entanglement among SNFs and block the pores of the ber cavity wall. 20,31 The last requirement was satis ed by designing sandwiched assembly architecture to enable multiple dissipations for fullfrequency sound waves.
The synthetic process of exible GCNAs mainly involved four components: GO, SNFs, ascorbic acid (C 6 H 8 O 6 ), and ultrapure water, as presented in Fig. 1a. Above all, the exible SNFs were prepared by versatile sol-gel electrospinning technology, which possessed uniform surface morphology with an average diameter of 286 nm ( Supplementary Fig. 1). Upon homogenization in water, the SNFs became well-dispersed with the average ber length of 161 μm ( Supplementary Fig. 2), and the obtained SNFs dispersion was mixed with GO aqueous solution by high-speed stirring. Then, C 6 H 8 O 6 was added as a reducing agent to the above GO/SNFs dispersion for further homogenization. Subsequently, the homogenized dispersion was directional frozen in a liquid nitrogen bath and freeze-dried into GO/SNFs aerogels. 32 The freshly prepared GO/SNFs aerogels were hydrophilic due to the presence of hydrophilic groups of GO ( Supplementary Fig. 3a). Finally, the obtained GO/SNFs aerogels were heated at 90 °C for 6 h to achieve the exible GCNAs with good hydrophobicity (Fig. 1d inset and Supplementary Fig. 3b). 33 Evidence of the reduction of GO/SNFs aerogels was obtained by combining the Fourier infrared (FTIR) spectra analysis, Raman spectra analysis, and X-ray diffraction spectrum (XRD) analysis. As shown in Supplementary Fig. 4a, the absorption peaks around 3300 cm -1 in the infrared spectrum of GO and GO/SNFs aerogels were according to the hydrophilic groups in GO, no evidence for the groups was found in GCNAs, implying the successful reduction of GO/SNFs aerogels. 34 The relevant Raman spectra were shown in Supplementary Fig. 4b, the peak centered at ~1345 cm -1 and ~1583 cm -1 are corresponding to the D band and G band, which are associated with the disordered structure and the sp 2 -hybridized C-C bonds, respectively. The I D /I G of GCNAs was increased from 0.89 to 1.26 compared with GO/SNFs aerogels, indicating the formation of numerous but smaller graphitic domains after the reduction. 35 Additionally, the XRD results showing in Supplementary Fig. 4c illustrated the invisibility of the GO characteristic peak at about 10.36° in the GCNAs, further suggesting that the GO was successfully reduced to rGO. 36 The basic entangled structure of the exible GCNAs consisted of one-dimensional (1D) exible SNFs wrapped by 2D rGO networks (the enlarged detail of GCNAs in Fig. 1a). The unique entangled structure was comprised of multiform physical crosslinking networks, mainly including bridging, soldering, and jointing ( Fig. 1b). The crosslinking network was attributed to strong π-π attraction among the rGO nanosheets and van der Waals force formed between the rGO nanosheets and SNFs (Fig. 1c), playing a key role in the construction of exible GCNAs. 37,38 To provide insight into the crosslinking mechanism, the high-resolution X-ray photoelectron spectroscopy (XPS) of O 1s peak in the interface of rGO and SNFs were further characterized ( Supplementary Fig. 4d), which showed a distinguishable peak of C−O−Si in 531.9 eV, demonstrating the possibility of chemical bonds between GO and SiO 2 except for the van der Waals force. [39][40][41] Notably, we can easily adjust the density of GCNAs by adjusting the precursor GO/SNFs dispersion. Typically, the GCNAs with a density of 5, 8, and 18 mg cm −3 were named GCNA-5, GCNA-8, and GCNA-18, respectively. To guarantee the good formability and desired structural stability of the aerogels, the GCNAs with different weight content of GO (0 wt%, 10 wt%, 40 wt%, 70 wt%, and 100 wt% relatives to SNFs, respectively) were prepared and noted as GCNA0, GCNA10, GCNA40, GCNA70, and GCNA100, respectively, and the content of SNFs remained constant. As shown in Supplementary Fig. 5a, the mechanical performances of the GCNAs were closely related to the content of GO, we discovered that the GCNAs with 70 wt% of GO could ensure desired structural stability. Except for special notes, all structure and performance characterizations were performed using GCNA-8 with 70 wt% GO.
Different from the common sol-gel method to prepare ceramic sound-absorbing aerogels, our fabrication process combined the simple preparation of the SNFs with the feasibility of the freeze-drying technique, which enabled rapid preparation and good structural tunability of aerogels. Fig. 1d indicated that a piece of 3 cm 3 exible GCNA (2 mg cm −3 ) can easily stand on the tip of a feather, con rming the lightweight property. In sharp comparison with the beaded chain structure of common ceramic sound-absorbing aerogel, our directional freeze-drying process allowed the GO and SNFs to co-assemble into unique hierarchically entangled structures. As shown in the scanning electron microscopy (SEM) images of Fig. cycle buckling performance. As shown in Fig. 2b, no signi cant decrease in max stress was discovered for the GCNAs after 1000 cyclic buckling, which can retain over 70% of the initial maximum stress ( Supplementary Fig. 8), highlighting the good buckling resistance. To our surprise, compared with the hard and fragile features of common ceramic sound-absorbing aerogels, the GCNAs presented outstanding compressive performances, which can withstand large strain without breaking (Fig. 2c inset and Supplementary Movie 2). Fig. 2c showed the compressive σ-ε curves of GCNAs under different strains, which exhibited typical three-stage deformation usually found in honeycomb-like materials: 45 the linear elastic deformation zone of ε <6%, the platform zone of 6%< ε <55%, and the densi cation zone of ε >55%, which were mainly caused by the elastic bending, elastic buckling, and densi cation of the cavity wall, respectively. 46 When the ε reached 80%, the maximum σ of the GCNAs could reach 17.2 kPa, which is higher than the same type of aerogels, 20,42,43 indicating that the GCNAs possessed good impact resistance. Moreover, the GCNAs also showed desired compression fatigue resistance, as shown in Fig.  2d, the plastic deformation of the GCNAs was only 4.3% after 1000 compressions under a large strain (60%). Besides, Young's modulus, energy dissipation coe cient, and maximum stress could remain more than 60% after 1000 cycles ( Supplementary Fig. 5b), further con rming the good structural stability.
Additionally, the GCNAs could remain a stable Poisson's ratio nearly close to 0 (-0.05~0) during the high compression and recovery process (maximum ε of 80%) (Supplementary Fig. 5C and 9), which is superior to most existing cellular aerogels (>0.2). 47,48 Furthermore, the GCNAs also showed remarkable dynamic mechanical stability ( Supplementary Fig. 5d), the storage modulus, loss modulus, and damping ratio of the GCNAs nearly remained stable when the compression frequency increased from 0.1 to 10 Hz, indicating the good resilience performance of the GCNAs. 49 To gain insight into the good mechanical properties of GCNAs, we observed the deformation behavior of the aerogel cavity wall under the action of external force by in-situ SEM. As shown in Fig. 2e and f, when the compressive strain increased from 0 to 60%, the lamellar cell walls and interlamellar SNFs were gradually bent and buckled, respectively. Interestingly, the rGO nanosheets and SNFs were not found to break during compression. Subsequently, the curved cell walls and SNFs completely returned to their initial position after the strain was eliminated, further highlighting the robust structure of the GCNAs. 38,50,51 Besides, Fig. 2g showed the relationship between the relative Young's modulus (E/E s ) of various aerogels and the relative bulk density (ρ/ρ s ).
Different from the low-stress transfer e ciency of random structural inorganic aerogels (the relation index of E/E s versus ρ/ρ s >2.5), 20,46,52-54 the relationship of the GCNAs was E/E s~ρ /ρ s 0.7 , indicating that the GCNAs had similar elastic behavior as the low-density open-cell structured material; Meanwhile, the lamellar cavity wall of GCNAs could be bent reversibly under the action of external force, so the loading stress could be effectively transferred among the cavity walls of the aerogel. More interestingly, compared with the little tensile performance of existing ceramic ber aerogels, the unique hierarchically entangled structures also endow GCNAs with certain stretchable properties (Fig. 2h). The tensile stress rstly improved linearly with the increase of tensile strain, and Young's modulus reaching 282 kPa. Further increase in tensile strain resulted in the gradual fracture of the GCNAs, meanwhile, the tensile stress and strain were 12.56 kPa and 4.8%, respectively. 20,50 Current sound-absorbing materials are mainly made of polymer, which has good elasticity at room temperature but can't use at high temperatures. In contrast, ceramic materials possess good heat resistance but suffer from stubborn brittleness with little deformation. Our exible GCNAs combined the structural characteristics of polymer materials and the high-temperature resistance of ceramics, which still exhibit good elasticity at high temperatures. As shown in Fig. 2i-k, the GCNAs exhibited stable viscoelasticity at different ambient temperatures, the storage modulus, loss modulus, and damping ratio almost remained at stable values in -100~500 °C. 55 Moreover, the relationship of dynamic mechanical performances of the GCNAs versus continuously changing temperature was further investigated, as shown in Fig. 2l, the storage modulus, loss modulus, and damping ratio of the GCNAs remained unchanged with the ambient temperature continuously changing from -100~500 °C, indicating that the GCNAs can be used for noise absorption in extreme temperatures. 56 Evidence of good thermal endurance of GCNAs also came from thermogravimetry analysis (TGA), as shown in Supplementary Fig. 10, the TGA plot of GCNAs showed a signi cant weight loss only when the temperature above 500 °C. Additionally, no structural collapse and ignition were observed when the GCNAs were compressed in a high-temperature ame (~550 °C) with a large strain ( Supplementary Fig. 11), highlighting that the GCNAs still had superelasticity at high temperature. Besides, the GCNAs almost had no plastic deformation after being compressed in liquid nitrogen with a large strain of 80% (Supplementary Fig. 12 and Movie 3), con rming the superelasticity of GCNAs under low-temperature.
Sound absorption performances of exible GCNAs. Taking into consideration the hierarchically entangled structures, desired mechanical properties, and good temperature resistance, the exible GCNAs show great application potential in noise absorption. Generally, the sound absorption performances were decided by the assembly structure, which was mainly in uenced by the GO loading amounts (10~100 wt%). As presented in Fig. 3a-d, the coverage area of rGO networks on nano brous cell walls gradually increased with the improvement of GO loading amounts, resulting in the reduction of connectivity of cell walls within GCNAs. Moreover, the air ow resistance of GCNAs was greatly improved from 1.2×10 5 to 6.7×10 5 Pa s m -2 with increasing GO loading amount (10~70 wt%), indicating that the GO networks effectively optimized the pore structure of the GCNAs (Fig. 3l). However, further increasing GO loading amount decreased the air ow resistance, which was because that excess GO agglomerated and unevenly distributed caused by the strong π-π attraction (Fig. 3d). Noise reduction coe cient (NRC), the average value of absorption coe cients in 250, 500, 1000, and 2000 Hz, is usually used to appraise the noise absorption materials. 11,12,27 The NRC of the GCNAs with increasing GO loading amounts were 0.19, 0.21, 0.27, and 0.26, respectively (Fig. 3l-m), which was consistent with ow resistance.
Additionally, the GCNAs could remain a stable Poisson's ratio nearly close to 0 (-0.05~0) during the high compression and recovery process (maximum ε of 80%) ( Supplementary Fig. 5C and 9), which is superior to most existing cellular aerogels (>0.2). 47,48 Furthermore, the GCNAs also showed remarkable dynamic mechanical stability ( Supplementary Fig. 5d), the storage modulus, loss modulus, and damping ratio of the GCNAs nearly remained stable when the compression frequency increased from 0.1 to 10 Hz, indicating the good resilience performance of the GCNAs. 49 To gain insight into the good mechanical properties of GCNAs, we observed the deformation behavior of the aerogel cavity wall under the action of external force by in-situ SEM. As shown in Fig. 2e and f, when the compressive strain increased from 0 to 60%, the lamellar cell walls and interlamellar SNFs were gradually bent and buckled, respectively. Interestingly, the rGO nanosheets and SNFs were not found to break during compression. Subsequently, the curved cell walls and SNFs completely returned to their initial position after the strain was eliminated, further highlighting the robust structure of the GCNAs. 38,50,51 Besides, Fig. 2g showed the relationship between the relative Young's modulus (E/E s ) of various aerogels and the relative bulk density (ρ/ρ s ).
Different from the low-stress transfer e ciency of random structural inorganic aerogels (the relation index of E/E s versus ρ/ρ s >2.5), 20,46,52-54 the relationship of the GCNAs was E/E s~ρ /ρ s 0.7 , indicating that the GCNAs had similar elastic behavior as the low-density open-cell structured material; Meanwhile, the lamellar cavity wall of GCNAs could be bent reversibly under the action of external force, so the loading stress could be effectively transferred among the cavity walls of the aerogel. More interestingly, compared with the little tensile performance of existing ceramic ber aerogels, the unique hierarchically entangled structures also endow GCNAs with certain stretchable properties (Fig. 2h). The tensile stress rstly improved linearly with the increase of tensile strain, and Young's modulus reaching 282 kPa. Further increase in tensile strain resulted in the gradual fracture of the GCNAs, meanwhile, the tensile stress and strain were 12.56 kPa and 4.8%, respectively. 20,50 Current sound-absorbing materials are mainly made of polymer, which has good elasticity at room temperature but can't use at high temperatures. In contrast, ceramic materials possess good heat resistance but suffer from stubborn brittleness with little deformation. Our exible GCNAs combined the structural characteristics of polymer materials and the high-temperature resistance of ceramics, which still exhibit good elasticity at high temperatures. As shown in Fig. 2i-k, the GCNAs exhibited stable viscoelasticity at different ambient temperatures, the storage modulus, loss modulus, and damping ratio almost remained at stable values in -100~500 °C. 55 Moreover, the relationship of dynamic mechanical performances of the GCNAs versus continuously changing temperature was further investigated, as shown in Fig. 2l, the storage modulus, loss modulus, and damping ratio of the GCNAs remained unchanged with the ambient temperature continuously changing from -100~500 °C, indicating that the GCNAs can be used for noise absorption in extreme temperatures. 56 Evidence of good thermal endurance of GCNAs also came from thermogravimetry analysis (TGA), as shown in Supplementary Fig. 10, the TGA plot of GCNAs showed a signi cant weight loss only when the temperature above 500 °C. Additionally, no structural collapse and ignition were observed when the GCNAs were compressed in a high-temperature ame (~550 °C) with a large strain ( Supplementary Fig. 11), highlighting that the GCNAs still had superelasticity at high temperature. Besides, the GCNAs almost had no plastic deformation after being compressed in liquid nitrogen with a large strain of 80% ( Supplementary Fig. 12 and Movie 3), con rming the superelasticity of GCNAs under low-temperature.
Sound absorption performances of exible GCNAs. Taking into consideration the hierarchically entangled structures, desired mechanical properties, and good temperature resistance, the exible GCNAs show great application potential in noise absorption. Generally, the sound absorption performances were decided by the assembly structure, which was mainly in uenced by the GO loading amounts (10~100 wt%). As presented in Fig. 3a-d, the coverage area of rGO networks on nano brous cell walls gradually increased with the improvement of GO loading amounts, resulting in the reduction of connectivity of cell walls within GCNAs. Moreover, the air ow resistance of GCNAs was greatly improved from 1.2×10 5 to 6.7×10 5 Pa s m -2 with increasing GO loading amount (10~70 wt%), indicating that the GO networks effectively optimized the pore structure of the GCNAs (Fig. 3l). However, further increasing GO loading amount decreased the air ow resistance, which was because that excess GO agglomerated and unevenly distributed caused by the strong π-π attraction (Fig. 3d). Noise reduction coe cient (NRC), the average value of absorption coe cients in 250, 500, 1000, and 2000 Hz, is usually used to appraise the noise absorption materials. 11,12,27 The NRC of the GCNAs with increasing GO loading amounts were 0.19, 0.21, 0.27, and 0.26, respectively (Fig. 3l-m), which was consistent with ow resistance.
To explore the sound absorption mechanism of the sandwich structure, the 3D structural models of GCNA-5, GCNA-18, and sandwiched GCNAs were constructed (Fig. 4e, Supplementary Fig. 15, Table 2, and Supplementary Methods). 59 Obviously, the sound pressure drop of the GCNA-18 and sandwiched GCNAs (red to green color) was much greater than GCNA-5 (red to yellow color), which was consistent with the poor low-frequency absorption of GCNA-5. However, in contrast to the rapid drop in sound pressure of GCNA-18 as a consequence of its overlarge density and excessive re ections, the sound pressure of the sandwiched GCNA was generally high in the rst unit and then decreased continuously, indicating that more sound waves could enter and then were gradually consumed, which were consistent with high absorption coe cients of sandwiched GCNA. Based on the above results, we further constructed the structural element models and simulated sound absorption mechanisms ( Supplementary Fig. 16), the low-density GCNA-5 with macroporous structure preferred to consuming high-frequency noise ( Supplementary Fig. 16a), while the high-density GCNA-18 with a small porous structure preferred to consuming low-frequency noise ( Supplementary Fig. 16b). Interestingly, by designing a sandwiched architecture, an attractive full-frequency sound absorption behavior was found: the low-density and highdensity lamellar structures were responsible for effectively consuming high-frequency and low-frequency sound waves, respectively, thus successfully absorbing the full-frequency sound waves ( Supplementary  Fig. 16c). Besides, the sandwich structure effectively increased the internal interface of GCNAs, which enhanced the multistage re ection path of sound waves inside the material and thus successfully increased the sound energy consumption. 9 To con rm the outstanding noise reduction performance of the GCNAs, the NRC and corresponding areal density of the sandwiched GCNAs were compared with typical already reported and commercial noise reduction materials 19,27,63 . As shown in Fig. 4f, the sandwiched GCNAs exhibited high noise absorption (NRC of 0.56) while ultralight property (280.8 g m -2 ) in contrast to present noise absorbers, which was because that the sandwich structure increased the contact area of sound waves, providing more frictional resistance for the acoustic energy; meanwhile, the resonance of the cavity wall also dissipated the acoustic energy. 8 As a proof of concept for tra c noise reduction applications, the white noise of ~80 dB was generated by a loudspeaker within a well-sealed pipe to mimic tra c noise, after passing commercial ber felt at the middle of the pipe, the noise only decreased to 67.4 dB, due to the large ber diameter of >5 μm, the large density of 17 mg cm -3 , and open-cell walls; In dramatic contrast, our sandwiched GCNAs could sharply decrease noise to 53.4 dB by their closed-cell walls (Fig. 4g), highlighting the great practical application performance of the sandwiched GCNAs. We further monitored the absorption capacity of real automobile engines noise, as shown in Fig. 4h and Supplementary Fig. 17a, a bottom sealed round pipe loading with commercial ber felt and our sandwiched GCNAs were placed next to a working engine, the sandwiched GCNAs reduced noise by 19.4 dB (95.5 to 76.1 dB), whereas the ber felt only reduced by 8.3 dB (95.5 to 87.2 dB). Moreover, the sandwiched GCNAs exhibited promising noise absorption against running air compressor in high temperature, as shown in Supplementary Fig. 17b ). Furthermore, when a heating stage with a temperature of 250 °C was close to two samples, the sandwiched GCNAs not only reduced noise by 17.7 dB after 10 min but also maintain intact morphology, whereas the ber felt was signi cantly decomposed and shrunk, with almost no sound absorption (92.4 to 90.2 dB) ( Fig. 4i and Supplementary Fig. 17c). These results indicate that the sandwiched GCNAs could serve as robust noise-absorbing materials with potentially broad applications, such as tra c noise reduction, industrial noise reduction, and domestic noise reduction, especially for safety noise reduction in high-temperature environments.

Discussion
The design and construction of GCNAs open a new path for searching the advanced applications of 1D ceramic nano bers in 3D macrostructures. In this study, exible ceramic nano brous aerogels were served as a practical veri cation of the conceptual model; in consideration of the rich source of ceramic material as well as the facile preparation of ceramic nano bers, our research will provide new ideas for novel ceramic nano brous aerogels for application in various elds. For example, bioceramics (such as ZrO 2 and hydroxyapatite) have been widely used as bone tissue substitutes; thus, creating 3D exible ceramic nano brous aerogels using these bioceramic nano bers can more really simulate bone tissue by providing suitable direction for cell growth. 64 Moreover, honeycomb ceramics (such as Al2O 3 and TiO 2 ) are usually used as catalyst carriers but suffer from stubborn brittleness, the ceramic nano brous aerogels not only possess robust exibility but also enable to load of more nano-catalysts, which could signi cantly improve the application performance. Additionally, some functional materials (such as Au, In summary, we presented a robust methodology to construct exible ceramic nano brous aerogels with hierarchically entangled graphene networks. Bene ting from the entangled structure composed of rGO networks wrapped ceramic nano ber, the GCNAs achieved ultralight properties, temperature-invariant superelasticity (4.3% plastic deformation at the 1000th cycle), and good bendability (unchanged structures over 1000 times). Furthermore, the hierarchically entangled sandwich structures enable a versatile multi-interface re ection capability, contributing to the striking sound absorption performance (NRC of 0.56). Moreover, the comprehensive advantages of ceramic and rGO endowed GCNAs with good heat resistance and enhanced moisture insulation. We envision that these exceptional sandwiched GCNAs that can be easily scaled up will pave the way for new types of sound absorption materials used for removing full-frequency noise, involving tra c noise reduction, industrial noise reduction, and domestic noise reduction.

Methods
Methods are available in the Supporting Information.

Declarations Data availability
The experimental data that support the ndings of this study are available from the corresponding author upon reasonable request. Qiu, L., Liu