Skip to main content
Log in

Scattering of flexural waves and dynamic stress concentrations in Mindlin's thick plates with a cutout

  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

Using the complex variable method and conformal mapping, scattering of flexural waves and dynamic stress concentrations in Mindlin's thick plates with a cutout have been studied. The general solution of the stress problem of the thick plate satisfying the boundary conditions on the contour of cutouts is obtained. Applying the orthogonal function expansion technique, the dynamic stress problem can be reduced into the solution of a set of infinite algebraic equations. As examples, numerical results for the dynamic stress concentration factor in Mindlin's plates with a circular, elliptic cutout are graphically presented in sequence.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Pao YH. Elastic wave in solids.J Appl Mech, 1983, 50(4): 1152–1164

    Article  MATH  Google Scholar 

  2. Yu TX, Su XY, Wang XD. The present situation and the tendency of the research on elastoplastic wave.Advances in Mechanics, 1992, 22(3): 347–357

    Google Scholar 

  3. Rice JR, et al. Solid mechanics research trends and opportunities.Appl Mech Rev, 1985, 38(10): 1247–1308

    Google Scholar 

  4. Muskehishvili NI. The Basic Problems in the Mathematic Theory of Elasticity. Beijing: Science Press, 1958 (in Chinese)

    Google Scholar 

  5. Lü P, Huang MG. A complex variable method to solve the bending problem of Reissner's plates.Acta Mechanica Sinica, 1990, 22(6): 599–698

    Google Scholar 

  6. Pao YH, Mow CC ed. Liu DK, Su XY, trans. Diffraction of Elastic Waves and Dynamic Stress Concentrations. Beijing: Science Press, 1993 (in Chinese)

    Google Scholar 

  7. Liu DK, Gai BZ, Tao GY. Applications of the method of complex functions to dynamic stress concentrations.Wave Motions, 1982, (4): 293–304

    Article  MATH  MathSciNet  Google Scholar 

  8. Mindlin RD. Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates.J Appl Mech, 1951, 18(2): 31–38

    MATH  Google Scholar 

  9. Pao YH, Chao CC. Diffractions of flexural waves by a cavity in an elastic plate.AIAA J, 1964, 2(11): 2004–2010

    Article  Google Scholar 

  10. Savin GN ed., Lu DH trans. Stress Concentrations on the Edge of Cutouts. Beijing: Science Press, 1958 (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The project supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Diankui, L., Chao, H. Scattering of flexural waves and dynamic stress concentrations in Mindlin's thick plates with a cutout. Acta Mech Sinica 12, 169–185 (1996). https://doi.org/10.1007/BF02486795

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02486795

Key Words

Navigation