Abstract
The numerical formulations discussed in Chapter 4 for two-dimensional elastic contact problems can be readily extended to allow for temperature changes and body forces. While the basic features of the formulation still apply, some modifications to the implementation are required. The modifications only concern the evaluation of the second member b and also the calculation of stresses and strains. These are discussed in detail in this chapter within the context of the pseudobody force approach for temperature changes. The pseudobody force approach in the BEM method treats the derivatives of the temperature as a form of body force. The domain integrals containing the actual body force can then be transformed into integrals over the boundary for each body involved in the contact, provided that the combined scalar potential due to actual body force and pseudobody force are harmonic in nature. (Karami and Fenner 1, Karami 2).
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References
Karami, G., and Fenner, R.T., “A Two-Dimensional BEM for Thermo-Elastic Body Force Contact Problems”, in Boundary Elements IX, Vol. 2: Stress Analysis, (Editors, C.A. Brebbia, W.L. Wendland, G. Kuhn), Springer-Verlag, Berlin Heidelber, 1987.
Karami, G., “Boundary Element Method for Elastic Thermo-Elastic Bodyforce using Psuedo-Body Force Approach”, in Computational Mechanics ‘88 Theory and Applications (Eds. S.N. Atluri, and G. Yagawa), Vol. 1, 3.vii.2, Springer-Verlag, New York, Berlin Heidelberg, 1988.
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Brebbia, C.A., Teiles, J.C.F., and Wrobel, L.C., “Boundary Element Techniques, Theory and Applications in Engineering, Springer-Verlag, Berlin, 1984
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Karami, G. (1989). Thermoelastic Body Force Contact Problems. In: Lecture Notes in Engineering. Lecture Notes in Engineering, vol 51. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83897-2_7
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DOI: https://doi.org/10.1007/978-3-642-83897-2_7
Publisher Name: Springer, Berlin, Heidelberg
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