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Research Papers

Generalized Method to Analyze Acoustomechanical Stability of Soft Materials

[+] Author and Article Information
Fengxian Xin

State Key Laboratory for Strength and
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

Tianjian Lu

State Key Laboratory for Strength and
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

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 83(7), 071004 (May 05, 2016) (4 pages) Paper No: JAM-16-1066; doi: 10.1115/1.4033429 History: Received February 01, 2016; Revised April 11, 2016

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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Figures

Grahic Jump Location
Fig. 1

(a) Acoustomechanical deformation of a soft material layer subject to combined biaxial stresses and acoustic inputs and (b) biaxial stresses and equivalent acoustic forces

Grahic Jump Location
Fig. 2

Acoustomechanical response of soft material actuator to different levels of equal-biaxial mechanical prestresses: (a) normalized acoustic force versus in-plane stretch λ1 and (b) normalized acoustic force versus normalized in-plane stretch λ1/λ1p. Critical onsets of acoustomechanical instabilities are marked by crosses.

Grahic Jump Location
Fig. 3

Effect of unequal biaxial mechanical prestresses on (a) critical acoustic force pc, (b) critical in-plane actuation stretch λ1c, (c) critical in-plane actuation stretch λ2c, and (d) critical out-of-plane actuation stretch λ3c

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