Acoustic radiation force generated by two counterpropagating acoustic waves in a thin layer of soft material can induce large deformation, and hence can be applied to design acoustomechanical actuators. Owing to the sensitivity of wave propagation to material geometry, the change of layer thickness may enhance wave propagation and acoustic radiation force, causing a jumping larger deformation, i.e., snap-through instability. Built upon the basis of strong elliptic condition, we develop a generalized theoretical method to evaluate the acoustomechanical stability of soft material actuators. We demonstrate that acoustomechanical instability occurs when the true tangential stiffness matrix ceases to be positive definite. Our results show that prestresses can not only enhance significantly the acoustomechanical stability of the soft material layer but also amplify its actuation stretch in thickness direction.
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July 2016
Research-Article
Generalized Method to Analyze Acoustomechanical Stability of Soft Materials
Fengxian Xin,
Fengxian Xin
State Key Laboratory for Strength and
Vibration of Mechanical Structures,
Xi'an Jiaotong University,
Xi'an 710049, China;
Vibration of Mechanical Structures,
Xi'an Jiaotong University,
Xi'an 710049, China;
MOE Key Laboratory for Multifunctional
Materials and Structures,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: fengxian.xin@gmail.com
Materials and Structures,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: fengxian.xin@gmail.com
Search for other works by this author on:
Tianjian Lu
Tianjian Lu
State Key Laboratory for Strength and
Vibration of Mechanical Structures,
Xi'an Jiaotong University,
Xi'an 710049, China;
Vibration of Mechanical Structures,
Xi'an Jiaotong University,
Xi'an 710049, China;
MOE Key Laboratory for Multifunctional
Materials and Structures,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: tjlu@mail.xjtu.edu.cn
Materials and Structures,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: tjlu@mail.xjtu.edu.cn
Search for other works by this author on:
Fengxian Xin
State Key Laboratory for Strength and
Vibration of Mechanical Structures,
Xi'an Jiaotong University,
Xi'an 710049, China;
Vibration of Mechanical Structures,
Xi'an Jiaotong University,
Xi'an 710049, China;
MOE Key Laboratory for Multifunctional
Materials and Structures,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: fengxian.xin@gmail.com
Materials and Structures,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: fengxian.xin@gmail.com
Tianjian Lu
State Key Laboratory for Strength and
Vibration of Mechanical Structures,
Xi'an Jiaotong University,
Xi'an 710049, China;
Vibration of Mechanical Structures,
Xi'an Jiaotong University,
Xi'an 710049, China;
MOE Key Laboratory for Multifunctional
Materials and Structures,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: tjlu@mail.xjtu.edu.cn
Materials and Structures,
Xi'an Jiaotong University,
Xi'an 710049, China
e-mail: tjlu@mail.xjtu.edu.cn
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received February 1, 2016; final manuscript received April 11, 2016; published online May 5, 2016. Editor: Yonggang Huang.
J. Appl. Mech. Jul 2016, 83(7): 071004 (4 pages)
Published Online: May 5, 2016
Article history
Received:
February 1, 2016
Revised:
April 11, 2016
Citation
Xin, F., and Lu, T. (May 5, 2016). "Generalized Method to Analyze Acoustomechanical Stability of Soft Materials." ASME. J. Appl. Mech. July 2016; 83(7): 071004. https://doi.org/10.1115/1.4033429
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