Skip to main content
SpringerLink
Log in

Thermal stresses in an elastic half-space associated with an arbitrarily distributed moving heat source

  • Original Papers
  • Published:
Zeitschrift für angewandte Mathematik und Physik ZAMP Aims and scope Submit manuscript

Zusammenfassung

Es wird das thermoelastische Spannungsfeld in einem Halbraum erhalten, erzeugt durch eine willkürlich verteilte, sich längs des Randes gleichförmig rasch bewegenden Wärmequelle. Dabei wird angenommen, dass Wärme aus dem elastischen Halbraum durch Konvektion abgeleitet wird. Es wird die zweidimensionale entkoppelte Theorie verwendet. Als Beispiel wird ein Problem der elasto-hydrodynamischen Schmierung betrachtet.

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

References

  1. F. F. Ling andV. C. Mow,Surface Displacement of a Convective Elastic Half-Space under an Arbitrarily-Distributed Fast-Moving Heat Source, Proc. of the Int. Conf. on Lub., Washington, D.C. (1964).

  2. J. N. Goodier,On the Integration of the Thermoelastic Equations, Phil. Mag.23 (1937).

  3. D. Rosenthal,The Theory of Moving Sources of Heat and Its Applications to Metal Treatments, Trans. ASME68 (1946).

  4. E. Melan,Wärmespannungen in einer Scheibe infolge einer wandernden Wärmequelle, Ing. Arch.20 (1952).

  5. F. Oberhettinger,Tabellen zur Fourier Transformation, Springer-Verlag (1957).

  6. H. S. Cheng,A Numerical Solution to the Thermal-Elastohydrodynamic Lubrication of Rolling and Sliding Cylinders, Mechanical Technology, Incorporated Technical Report MTI-64 TR7 (1964).

Download references

Author information

Authors and Affiliations

  1. Dept. of Mechanics, Rensselaer Polytechnic Institute, Troy, New York, USA

    Van C. Mow

  2. Mechanical Technology, Inc., Latham, New York, USA

    Herbert S. Cheng

Authors
  1. Van C. Mow
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Herbert S. Cheng
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work was sponsored by the Office of Naval Research, U.S. Navy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mow, V.C., Cheng, H.S. Thermal stresses in an elastic half-space associated with an arbitrarily distributed moving heat source. Journal of Applied Mathematics and Physics (ZAMP) 18, 500–507 (1967). https://doi.org/10.1007/BF01601720

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01601720

Keywords

Search

Navigation