Structural Engineering and Mechanics

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Stress analysis with arbitrary body force by triple-reciprocity BEM

  • Ochiai, Y. (Department of Mechanical Engineering, Kinki University) ;
  • Kobayashi, T. (Research Institute of Scientific Investigation Kyoto Pref.)
  • Published : 2000.10.25
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Abstract

Linear stress analysis without body force can be easily solved by means of the boundary element method. Some cases of linear stress analysis with body force can also be solved without a domain integral. However, domain integrals are generally necessary to solve the linear stress problem with arbitrary body forces. This paper shows that the linear stress problem with arbitrary body forces can be solved approximately without a domain integral by the triple-reciprocity boundary element method. In this method, the distribution of arbitrary body forces can be interpolated by the integral equation. A new computer program is developed and applied to several problems.

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References

  1. Abramowitz, M. and Stegun, A. Eds. (1970), Handbook of Mathematical Functions, Dover, New York, 258.
  2. Brebbia, C.A., Telles, J.C.F. and Wrobel, L.C. (1984), Boundary Element Techniques-Theory and Applications in Engineering, Springer-Verlag, 177-234.
  3. Danson, D. (1983), "Boundary element formulation of problem in linear isotropic elasticity with body force", Progress in Boundary Element Methods, 2, Pentech Press, London, 105-122.
  4. Micchelli, C.A. (1986), Interpolation of Scattered Data, Constructive Approximation, 2, 12-22.
  5. Neves, A.C. and Brebbia, C.A. (J 991), "The multiple reciprocity boundary element method in elasticity: A new approach for transforming domain integrals to the boundary", International Journal for Numerical Methods in Engineering, 31 , 709-727. https://doi.org/10.1002/nme.1620310406
  6. Nira, D. (1987), Interpolation of Scattered Data by Radial Functions, in Topics in Multivariate Approximation, Eds. C. K. Chui, L. L. Schumaker and F. I. Utreras, 47-61, Academic Press, London.
  7. Nowak, A.J. and Brebbia, C.A. (1989), "The multiple-reciprocity method: A new approach for transforming BEM domain integral to the boundary", Engineering Analysis with Boundary Elements, 6, 164-167. https://doi.org/10.1016/0955-7997(89)90032-5
  8. Nowak, A.J. and Brebbia, C.A. (1993), Advanced Formulations in Boundary Element Methods, Eds. M.H. Aliabadi and C.A. Brebbia, Computational Mechanics Publications, Southampton, Chapter 3, 77-115.
  9. Nowak, A.J. and Neves, A.C. (eds.), (1994), The Multiple Reciprocity Boundary Element Method, Computational Mechanics Publications, Southampton.
  10. Ochiai, Y., Sekiya, T. and Ishida, R. (1994), "Two-dimensional thermal stress analysis under steady state with heat generation in the region by boundary element method", Journal of 'Thermal Stresses, 17, 397-408. https://doi.org/10.1080/01495739408946268
  11. Ochiai, Y. (1994), "Three-dimensional thermal stress analysis under steady state with heat generation in the region by boundary element method", JSME International Journal , Series A, 37, 4, 355-359. https://doi.org/10.1299/jsmeb.37.355
  12. Ochiai, Y. (1994), "Axisymmetric heat-conduction analysis under steady state by improved multiple-reciprocity boundary element method", Heat Transfer-Japanese Research, 23, 6, 498-512.
  13. Ochiai, Y. and Sekiya. T. (1995), "Steady thermal stress analysis by improved multiple-reciprocity boundary element method", Journal of Thermal Stresses, 18, 603-620. https://doi.org/10.1080/01495739508946323
  14. Ochiai. Y. (1995), "Generation of free-form surface in CAD for dies", Advances in Engineering Software, 22, 113-118. https://doi.org/10.1016/0965-9978(94)00030-M
  15. Ochiai, Y. Nisitani, H. and Sekiya, T. (1996), "Stress analysis with arbitrary body force by boundary element method", Engineering Analysis with Boundary Element, 17, 295-302. https://doi.org/10.1016/S0955-7997(96)00031-8
  16. Ochiai, Y. (1996), "Generation method of distributed data for FEM Analysis", JSME International Journal, 39, 1, 93-98.
  17. Ochiai, Y. and Sekiya, T. (1996), "Steady heat conduction analysis by improved multiple-reciprocity boundary element method", Engineering Analysis with Boundary Element, 18, 111-117. https://doi.org/10.1016/S0955-7997(96)00035-5

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