Cavitation theory for ultrasonic vibration. (A) Schematic of the cavitation process, (i,ii) process of growth and collapse of bubbles, (iii) supporting structures will be removed. (B) Effect of ultrasonic frequency ( f a ) on the maximum radius of the bubble. (C) Effect of f a on the pressure outside the bubble (p out ). (D) Total kinetic energy (K) of gas in a bubble during the cavitation process. (E) Value of shock wave (p) when the bubble collapses.

Cavitation theory for ultrasonic vibration. (A) Schematic of the cavitation process, (i,ii) process of growth and collapse of bubbles, (iii) supporting structures will be removed. (B) Effect of ultrasonic frequency ( f a ) on the maximum radius of the bubble. (C) Effect of f a on the pressure outside the bubble (p out ). (D) Total kinetic energy (K) of gas in a bubble during the cavitation process. (E) Value of shock wave (p) when the bubble collapses.

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Complex three-dimensional (3D) microstructures are attracting more and more attention in many applications such as microelectromechanical systems, biomedical engineering, new materials, new energy, environmental protection, and wearable electronics. However, fabricating complex 3D microstructures by 3D printing techniques, especially those with lon...

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... cavitation theory for ultrasonic vibration was proposed in previous studies, 43,44 which is used to explain the results in the present investigation. It is demonstrated in Figure 3A-i that there are many tiny bubbles at the interface of the liquid and the solid structures first. Then, these tiny bubbles quickly grow up at the negative pressure zones because of the ultrasound waves ( Figure 3A-i), and they will collapse at the positive pressure zones with the longitudinal spread of ultrasound waves ( Figure 3A-ii). ...
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... is demonstrated in Figure 3A-i that there are many tiny bubbles at the interface of the liquid and the solid structures first. Then, these tiny bubbles quickly grow up at the negative pressure zones because of the ultrasound waves ( Figure 3A-i), and they will collapse at the positive pressure zones with the longitudinal spread of ultrasound waves ( Figure 3A-ii). Therefore, bubbles are compressed and stretched alternately under positive and negative pressures from the ultrasonic vibration. ...
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... is demonstrated in Figure 3A-i that there are many tiny bubbles at the interface of the liquid and the solid structures first. Then, these tiny bubbles quickly grow up at the negative pressure zones because of the ultrasound waves ( Figure 3A-i), and they will collapse at the positive pressure zones with the longitudinal spread of ultrasound waves ( Figure 3A-ii). Therefore, bubbles are compressed and stretched alternately under positive and negative pressures from the ultrasonic vibration. ...
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... bubbles are compressed and stretched alternately under positive and negative pressures from the ultrasonic vibration. The huge pressure change at the surface of the supporting structures will break them up ( Figure 3A-iii). The supporting structures will be almost completely removed after ultrasonic treatment for tens of seconds. ...
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... supporting structures will be almost completely removed after ultrasonic treatment for tens of seconds. Based on the cavitation theory (Supporting Information S3), it can be found that there are several cavitation bubbles generated during a single cycle; the maximum radius of the bubble decreases with the increase of the ultrasonic frequency (f a ) ( Figure 3B). The value of pressure outside the bubble, p out , during the cavitation process is shown in Figure 3C. ...
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... on the cavitation theory (Supporting Information S3), it can be found that there are several cavitation bubbles generated during a single cycle; the maximum radius of the bubble decreases with the increase of the ultrasonic frequency (f a ) ( Figure 3B). The value of pressure outside the bubble, p out , during the cavitation process is shown in Figure 3C. It can be found that p out decreases with the increase of f a . ...
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... a is 40 kHz for the present ultrasonic machine. Meanwhile, the effect of sound pressure amplitude, p a , on the cavitation process is analyzed ( Figure S3). The total kinetic energy (K) of gas in a bubble changes sharply with the growth and collapse of bubbles ( Figure 3D). ...
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... the effect of sound pressure amplitude, p a , on the cavitation process is analyzed ( Figure S3). The total kinetic energy (K) of gas in a bubble changes sharply with the growth and collapse of bubbles ( Figure 3D). When bubbles are broken down after the compression, it will produce a tremendous pressure drop instantaneously ( Figure 3E); such a vast pressure variation will certainly produce violent destruction of the supporting structures. ...
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... total kinetic energy (K) of gas in a bubble changes sharply with the growth and collapse of bubbles ( Figure 3D). When bubbles are broken down after the compression, it will produce a tremendous pressure drop instantaneously ( Figure 3E); such a vast pressure variation will certainly produce violent destruction of the supporting structures. Besides, it could be demonstrated that the value of p decreased with the increase of the distance to the bubble center as shown in Figure 3E. ...
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... bubbles are broken down after the compression, it will produce a tremendous pressure drop instantaneously ( Figure 3E); such a vast pressure variation will certainly produce violent destruction of the supporting structures. Besides, it could be demonstrated that the value of p decreased with the increase of the distance to the bubble center as shown in Figure 3E. ...

Citations

... Contrary to traditional fabrication techniques, which primarily depend on removing materials using techniques like cutting or drilling (subtractive processes), 3DP procedures are bottom-up manufacturing techniques that rely on the gradual addition of material layers [58]. Complex 3D structures can be created more quickly and easily with 3DP than with traditional manufacturing techniques [59]. Several significant categories of 3DP technology have been designed and are frequently used: (1) materials extrusion, (2) vat photopolymerization (VPP), (3) powder bed fusion, (4) materials jetting, and (5) laminated object 3DP processes [60][61][62][63][64]. ...
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