Acta Mechanica Solida Sinica

, Volume 31, Issue 3, pp 332–348 | Cite as

Elastic Wave Scattering and Dynamic Stress Concentrations in Stretching Thick Plates with Two Cutouts by Using the Refined Dynamic Theory

  • Chuan-ping Zhou
  • Qiao-yi Wang
  • Denghao Chen
  • Chao Hu
  • Ban Wang
  • Fai Ma


Based on the refined dynamic equation of stretching plates, the elastic tension–compression wave scattering and dynamic stress concentrations in the thick plate with two cutouts are studied. In view of the problem that the shear stress is automatically satisfied under the free boundary condition, the generalized stress of the first-order vanishing moment of shear stress is considered. The numerical results indicate that, as the cutout is thick, the maximum value of the dynamic stress factor obtained using the refined dynamic theory is 19% higher than that from the solution of plane stress problems of elastic dynamics.


Refined vibration equation of stretching plate Thick plate First moment of shear stress Elastic wave scattering Dynamic stress concentration 



This work is supported by the Natural Science Foundation of Zhejiang Province of China (Grant No. LQ17E050011), the National Natural Science Foundation of China (Grant No. 51775154), the Natural Science Foundation of Zhejiang Province of China (Grant No. LQ17E090007) and the Key Project of Natural Science Foundation of Zhejiang Province of China (Grant No. LQ17E050011).


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2018

Authors and Affiliations

  • Chuan-ping Zhou
    • 1
    • 2
  • Qiao-yi Wang
    • 1
  • Denghao Chen
    • 1
  • Chao Hu
    • 3
  • Ban Wang
    • 1
  • Fai Ma
    • 4
  1. 1.Zhejiang Key Laboratory of Mechanical Equipment and Technology for Marine Machinery, School of Mechanical EngineeringHangzhou Dianzi UniversityHangzhouChina
  2. 2.School of Mechatronic EngineeringChina University of Mining and TechnologyXuzhouChina
  3. 3.School of Aerospace Engineering and Applied MechanicsTongji UniversityShanghaiChina
  4. 4.College of EngineeringUniversity of CaliforniaBerkeleyUSA

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