New Continuum Formulations for Modelling of Fiber Reinforced Composites

• Autorzy: Zmindak M. , Novák P. , Melicher R.
• Konferencja: International Conference Computer Simulation in Machine Design - COSIM 2006 (11 ; 2006 ; Krynica Zdrój, Poland)
• Języki publikacji: EN

Abstrakty

EN

The composites reinforced by rigid particles improve considerably many properties of matrix materials, they poses higher stiffness, strength, better wear resistance, superior electrical properties. The fibers are supposed to be much stiffer than the matrix and their diameter can be much smaller than their length. On the other side the number of the reinforcing particles can be very high and they can be not uniformly distributed over the structure. From material structure point view the particles present inclusions. For of such problems the methods like (finite element methods) FEM and BEM (boundary element methods) are not very efficient. Computational time for FEM is huge for an accurate solution of the mechanical fields. BEM using distributed forces, dislocations and dipoles along the fiber axis (the source points) enable to model these effects much more efficiently. The intensity of the source functions simulates the interaction of the fiber with the other subjects. Because of very close distance of the source points to the fiber boundary and the quasi-singular form of the integrals, the integration is performed analytically in the fiber direction. In this paper we will present two new methods for modelling composites reinforced by fibers: First proposed method is called here the method of continuous source functions (MCSF) which use continuously distributed dipoles as source functions. The second method is Boundary point method (BPM). In this method all internal fields will be approximated by the Trefftz functions (T-functions).

Słowa kluczowe

EN

FEM; BEM; BPM; finite element methods; boundary element methods; Trefftz functions; fiber-reinforced composites; composites; composite materials

• Wydawca: Oficyna Wydawnicza Politechniki Warszawskiej
• Czasopismo: Machine Dynamics Problems
• Rocznik: 2006
• Tom: Vol. 30, No. 4
• Strony: 190--199
• Opis fizyczny: Bibliogr. 5 poz., wykr.

Twórcy

autor

Zmindak M.

autor

Novák P.

autor

Melicher R.

• University of Zilina. Faculty of Mechanical Engineering, Department of Applied Mechanics,

Bibliografia

• Yoshida, K., Nishimura, N., 2001, Application of new fast multipole boundary integral equation method to elastostatic crack problems in three dimensions, J. of Struct. Eng., 47 A, 169-179.
• Liu, Y. J., Nishimura, N., Otani, Y., Takahashi, T., Chen, X. L., Munakata, H., 2005, A Fast Boundary Element Method for the Analysis of Fiber-Reinforced Composites Based on a Rigid-Inclusion Model, ASME Journal of Applied Mechanics, 72, 115-128.
• Blokh, V. I., 1964, Theory of Elasticity (in Russian), University Press, Kharkov.
• Kachanov, M., Shafiro, B., Tsukrov, I., 2003, Handbook of Elasticity Solutions, Kluwer Academic Publishers, Dordrecht.
• Kompiš, V., Štiavnický, M., Kompiš, M. Žmindák, M., Trefftz interpolation based multi-domain boundary point method, to be published in: Eng. Analysis with Boundary Elements.