TY - GEN
T1 - Method of continuous source functions for modelling of matrix reinforced by finite fibres
AU - Kompiš, Vladimír
AU - Štiavnický, Mário
AU - Kompiš, Marián
AU - Murčinková, Zuzana
AU - Qin, Qing Hua
N1 - Publisher Copyright:
© Springer Science +Business Media B.V., 2008.
PY - 2008
Y1 - 2008
N2 - Fibres are the most effective reinforcing material. Simulation of the interaction of matrix with fibres and fibre with other fibres is a most important problem for understanding the behaviour of fibre-reinforced composites (FRC). Large gradients in all displacement, stress and strain fields and their correct simulation for near and far field action are essential for effective computational modelling. Because of the large aspect ratios in fibre type reinforcing particles, methods using volume discretization are not efficient. Source functions (forces, dipoles, dislocations) describe correctly both near and far field activities and thus help to simulate all interactions very precisely. The method of continuous source functions allows us to satisfy the continuity of fields between very stiff fibres and much more flexible matrix by 1D continuous functions along the fibre axis and local 2D functions in the end parts of a fibre with only few parameters. Two types of examples with rows of non-overlapping sheets of fibre and with overlapping fibres show that the interaction of the end parts of fibres is crucial for evaluation of the mutual interaction of fibres in the composite. Correct simulation of all parts is important for evaluation of stiffness and strength of the FRC.
AB - Fibres are the most effective reinforcing material. Simulation of the interaction of matrix with fibres and fibre with other fibres is a most important problem for understanding the behaviour of fibre-reinforced composites (FRC). Large gradients in all displacement, stress and strain fields and their correct simulation for near and far field action are essential for effective computational modelling. Because of the large aspect ratios in fibre type reinforcing particles, methods using volume discretization are not efficient. Source functions (forces, dipoles, dislocations) describe correctly both near and far field activities and thus help to simulate all interactions very precisely. The method of continuous source functions allows us to satisfy the continuity of fields between very stiff fibres and much more flexible matrix by 1D continuous functions along the fibre axis and local 2D functions in the end parts of a fibre with only few parameters. Two types of examples with rows of non-overlapping sheets of fibre and with overlapping fibres show that the interaction of the end parts of fibres is crucial for evaluation of the mutual interaction of fibres in the composite. Correct simulation of all parts is important for evaluation of stiffness and strength of the FRC.
UR - http://www.scopus.com/inward/record.url?scp=62349137698&partnerID=8YFLogxK
U2 - 10.1007/978-1-4020-6975-8_3
DO - 10.1007/978-1-4020-6975-8_3
M3 - Conference contribution
SN - 9781402069741
T3 - Computational Methods in Applied Sciences
SP - 27
EP - 45
BT - Composites with Microand Nano-Structures
A2 - Kompis, Vladimir
PB - Springer
T2 - International Conference on Composites with Micro- and Nano-Structure - Computational Modelling and Experiments, CMNS 2007
Y2 - 28 May 2007 through 31 May 2007
ER -