Skip to main content
SpringerLink
Log in

Problems of collinear cracks between bonded dissimilar materials under antiplane concentrated forces

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

Abstract

In this paper problems of collinear cracks between bonded dissimilar materials under antiplane concentrated forces are dealt with. General solutions of the problems are formulated by applying extended Schwarz principle integrated with the analysis of the singularity of complex stress functions. Closed-form solutions of several typical problems are obtained and the stress intensity factors are given. These solutions include a series of original results and some results of previous researches. It is found that under symmetrical loads the solutions for the dissimilar materials are the same as those for the homogeneous materials[7].

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Liu You-wen and Jiang Chi-ping, Problem on circular-arc cracks between bonded dissimilar materials under concentrated force and moment,Applied Mathematics and Mechanics,8, 3 (1987), 271.

    Google Scholar 

  2. Jiang Chi-ping and Liu You-wen, Problems on collinear cracks between bonded dissimilar materials under concentrated loads,Applied Mathematics and Mechanics,9, 2 (1988), 167.

    Google Scholar 

  3. Liu You-wen and Jiang Chi-ping, Some closed-form solution for anti-plane cracks propagating in the bi-material interface,J. Cent. — South Inst. Min. Metal,19, 4 (1988), 459.

    Google Scholar 

  4. Fan Ta-chung,Mathematical Elastical Mechanics, The Publishing House of New Era (1983), 373. (in Chinese)

    Google Scholar 

  5. Muskhelishvili, N. I.,Some Basic Problems of Mathematical Theory of Elasticity, Science Press (1965). (Chinese version)

  6. Sih, G. C., P. C. Raris and F. Erdogan, Cracktip stress-intensity factors for plane extension and plane bending problem,J. Appl. Mech.,29 (1962), 306.

    Google Scholar 

  7. China Research Institute of Aeronautics and Astronautics,Handbook of Stress Intensity Factors, Science Press (1981), 194. (Chinese version)

  8. Gradshteyn, I. S. and I. M. Ryzhik,Table of Integrals, Series, and Products, Academic Press (1980), 246, 351.

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mathematics and Mechanics, Central South University of Technology, Changsha

    Liu You-wen

  2. Institute of Mechanics, Chinese Academy of Sciences, Beijing

    Jiang Chi-ping

Authors
  1. Liu You-wen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jiang Chi-ping
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Fan Ta-chung

Rights and permissions

Reprints and permissions

About this article

Cite this article

You-wen, L., Chi-ping, J. Problems of collinear cracks between bonded dissimilar materials under antiplane concentrated forces. Appl Math Mech 11, 955–964 (1990). https://doi.org/10.1007/BF02115679

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02115679

Key words

Search

Navigation