Abstract
The body force method is based on the principle of superposition. The solution in the body force method is obtained by the superposition of fundamental solutions so as to satisfy a given boundary condition. By means of these fundamental solutions all problems can be solved in principle. In this paper, first the fundamental principle of the body force method is illustrated and then its application to crack problems, elastic–plastic problems and elastodynamic problems are shown.
Similar content being viewed by others
References
Chen, D.H. (1994). A crack normal to and terminating at a bimaterial interface. Engineering Fracture Mechanics 49(4), 517–532.
Chen, D.H. and Nisitani, H. (1985). Analysis of elastic-plastic problem by extended body force method. Transactions of Japan Society of Mechanical Engineers 51, 571–578.
Chen, D.H., Nisitani, H. and Noguchi, H. (1990). Analysis of elastodynamic problems based on principle of superposition. JSME International Journal 33(2), 193–201.
Chen, D.H. and Nisitani, H. (1992). Interaction between two cracks under torsional impact. Transactions of Japan Society of Mechanical Engineers 58(545), 26–33.
Chen, D.H. and Inoue, K. (1993). The tensile impact response of an infinite body with one or two annular cracks. Transactions of Japan Society of Mechanical Engineers 59(559), 757–762.
Chen, D.H. and Nisitani, H. (1991). Analysis of inverse problem of crack by body force method. Transactions of Japan Society of Mechanical Engineers 57(534), 274–280.
Chen, D.H. and Nisitani, H. (1993). Detection of a crack by body force method. Engineering Fracture Mechanics 45(5), 671–685.
Chen, D.H. and Nisitani, H. (1992). Elastic parameters influence stress field in multi-phase composite. JSME International Journal 48(A):(4), 390–394.
Chen, D.H., Nisitani, H. and Mura, T. (1994). Effect of elastic constants on stress in multi-phases under plane deformation. Engineering Fracture Mechanics 48(3), 347–357.
Chen, D.H. and Nakamichi, S. (1996). Stress intensity factor of interface crack around elliptic inclusion. Transactions of Japan Society of Mechanical Engineers 62(598), 1345–1352.
Dundurs, J. (1967). Effect of elastic constants on stress in a composite under plane deformation. Journal of Composite Materials 1, 310–322.
Nisitani, H. (1967). Two dimensional problem solved using a digital computer. Journal of the Japan Society of Mechanical Engineers 70, 627–635.
Nisitani, H. (1968). The two dimensional stress problem solved using an electric digital computer. Bulletin of the JSME 11(43), 14–23.
Nisitani, H. (1969). Stress intensity factor of a semi-infinite plate with an inclined edge crack under tension. Japan Society of Mechanical Engineers Preprint 203, 45–48.
Nisitani, H. (1978). Linear notch mechanics as an extension of linear fracture mechanics. In: Proceedings of International Conference on Role of Fracture Mechanics in Modern Technology (Fukuoka), 25–37.
Nisitani, H. (1978). Stress analysis of notch problem by body force method. In: Mechanics of Fracture 5, G.C. Sih (ed.) Sijthoff & Noordhoff, Chapter 1, 1–68.
Nisitani, H. (1993). Linear notch mechanics and its application to evaluation of notched specimen. In: Proceedings of International Conference on Mechanical Behavior of Ductile Cast Iron and Other Cast Metals, 11–17.
Nisitani, H. and Isida, M. (1973). Stress intensity factors for a crack emanating from the edge of an ellipical hole along its axis under tension. Transactions of Japan Society of Mechanical Engineers 39, 7–14.
Nisitani, H. and Murakami, Y. (1974). Stress intensity factors of elliptical crack or semi-elliptical crack subjected to tension. International Journal of Fracture 10, 353–368.
Nisitani, H. and Chen, D.H. (1985). Elastic-plastic analysis of an infinite plate with an elliptic hole by body force method. Transactions of Japan Society of Mechanical Engineers 51(465), 1471–1476.
Nisitani, H. and Chen, D.H. (1987). Body Force Method, Baifukan.
Nisitani, H., Saimoto, A., Noguchi, H. and Chen, D.H. (1992). Method of analysis for two-dimensional stationary thermoelastic problems by body force method. In: Proceedings of the 1992 Joint ASME/JSME Conference on Electronic Packaging 1, 437–446.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chen, D., Nisitani, H. Body force method. International Journal of Fracture 86, 161–189 (1997). https://doi.org/10.1023/A:1007337210078
Issue Date:
DOI: https://doi.org/10.1023/A:1007337210078