TY - GEN
T1 - Analysis of representative volume elements with random microcracks
AU - Fedelinski, P.
N1 - Publisher Copyright:
© 2011 Springer Science+Business Media B.V.
PY - 2011
Y1 - 2011
N2 - The paper presents the computation of effective elastic properties and an analysis of stress intensity factors for representative volume elements (RVE) with randomly distributed microcracks. The RVEs are subjected to static and dynamic loadings. The microcracks having the same length, randomly distributed, parallel or randomly oriented, are considered. The structures with microcracks are modelled by using the boundary element method (BEM). The time dependent problems are solved using the Laplace transform method. In the BEM the boundaries are discretized and it is very easy to modify positions and directions of microcracks. The influence of density of microcracks on the effective Young modulus, the effective Poisson ratio, stress intensity factors and speed of the wave travelling through the cracked structure is investigated. The numerically computed Young moduli are compared with the solutions obtained by analytical methods: the non-interacting method, the self-consistent method and the differential method.
AB - The paper presents the computation of effective elastic properties and an analysis of stress intensity factors for representative volume elements (RVE) with randomly distributed microcracks. The RVEs are subjected to static and dynamic loadings. The microcracks having the same length, randomly distributed, parallel or randomly oriented, are considered. The structures with microcracks are modelled by using the boundary element method (BEM). The time dependent problems are solved using the Laplace transform method. In the BEM the boundaries are discretized and it is very easy to modify positions and directions of microcracks. The influence of density of microcracks on the effective Young modulus, the effective Poisson ratio, stress intensity factors and speed of the wave travelling through the cracked structure is investigated. The numerically computed Young moduli are compared with the solutions obtained by analytical methods: the non-interacting method, the self-consistent method and the differential method.
KW - Boundary element method
KW - Effective properties
KW - Microcrack
KW - Micromechanics
KW - Representative volume element
UR - https://www.scopus.com/pages/publications/84964211461
U2 - 10.1007/978-94-007-0317-9_17
DO - 10.1007/978-94-007-0317-9_17
M3 - Conference contribution
AN - SCOPUS:84964211461
SN - 9789400703162
T3 - Computational Methods in Applied Sciences
SP - 333
EP - 341
BT - Computational Modelling and Advanced Simulations
A2 - Murín, Justín
A2 - Kutiš, Vladimír
A2 - Kompiš, Vladimír
PB - Springer Netherland
T2 - Thematic ECCOMAS Conference on Computational Modelling and Advanced Simulations, CMAS 2009
Y2 - 30 June 2009 through 3 July 2009
ER -