Skip to main content
Log in

The solving problem and the difference solving process for the shear of a bounded elastic bodies

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

A long elastomer with rectangular section bonded between two parallel rigid surfaces will come about deformation because of the role of two opposite shear forces in both the top and bottom plate. The mathematic model of the deformation is deduced and a new difference solving process is proposed. For boundary condition with singularity, a detailed analysis and deduction is given and a new rational and effective discrete boundary condition is proposed. Simulate computation demonstrates that the result is identical with qualitative analysis. Therefore, a new and functional numerical method and quantitative analysis method are provided.

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. Gent A N, Meinecke E A. Compression bending and shearing of bonded rubber blocks[J].Polymer Engineering and Science, 1970,10(1):48–53.

    Article  Google Scholar 

  2. Lindley P B. A finite-element programme for the plane-strain, analysis of rubber[J].J Strain Analysis, 1975,10(1):25–31.

    MathSciNet  Google Scholar 

  3. Lindley P B, Teo S C. Some numerical stiffnesses of soft elastic blocks bonded to rigid end plates [J].Plastics and Rubber Mat Appl, 1978,8:113–116.

    Google Scholar 

  4. Haddow J B, Ogden R W. Compression of bonded elastic bodies[J].J Mech Phys Solids, 1988,36 (5):551–579.

    Article  MATH  MathSciNet  Google Scholar 

  5. Xu Bingye, Liu Xinsheng.Applied Elastic-Plastic Mechanics [M]. Beijin: Tsinghua University Press, 1995,382–384. (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Li Jibin

Biography: Zhang Luming(1957-)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Luming, Z., Qianshun, C. The solving problem and the difference solving process for the shear of a bounded elastic bodies. Appl Math Mech 21, 199–208 (2000). https://doi.org/10.1007/BF02458521

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02458521

Key words

CLC number

Navigation