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Tytuł artykułu

Computer modelling and analysis of microstructures with fibres and cracks

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Purpose: The aim of the research is to formulate the boundary element approach, develop the computer codes and analyze microstructures containing fibres and cracks. The computer codes can be used to analyze influence of fibres and cracks on stress fields and effective properties of materials. Design/methodology/approach: The relation between boundary displacements and tractions is established by using appropriate boundary integral equations. The variations of boundary coordinates, displacements and tractions are interpolated by using nodal values and shape functions. Additionally, equations of motion and equilibrium equations are applied for rigid fibres. Findings: The boundary element method can be simply and effectively used for materials containing fibres and cracks. The stress fields for a single fibre computed by the present approach agree very well with analytical results. The fibre, which is perpendicular to the crack has larger influence on stress intensity factors than the fibre, which is parallel to the crack. Research limitations/implications: The proposed method is efficient for linear elastic materials. For other materials the boundary element method requires fundamental solutions, which have complicated forms. The developed computer codes can be extended to materials containing many randomly distributed fibres and cracks. Practical implications: The present method can be used to analyze and optimize strength and stiffness of materials by a proper reinforcement by fibers. Origmality/value: The original value of the paper is the analysis of influence of distribution of rigid fibres on effective properties of composites and the influence of positions of a fibre and a crack on stress intensity factors.
Rocznik
Strony
242--249
Opis fizyczny
Bibliogr. 15 poz., rys.
Twórcy
  • Department of Strength of Materials and Computational Mechanics, Silesian University of Technology, ul. Konarskiego 18a, 44-100 Gliwice, Poland
Bibliografia
  • [1] T. Mura, Micromechanics of defects in solids, Martinus Nijhoff Publishers, Dordrecht, 1987.
  • [2] J. Dundurs, X. Markenscoff, A Green’s function formulation of anticracks and their interaction with load-induced singularities, Transactions of the ASME, Journal of Applied Mechanics 56 (1989) 550-555.
  • [3] Q. Li, T.C.T. Ting, Line inclusions in anisotropic elastic solids, Transactions of the ASME, Journal of Applied Mechanics 56 (1989) 556-563.
  • [4] Y. Liu, N. Nishimura, Y. Otani, Large-scale modeling of carbon-nanotube composites by a fast multipole boundary element method, Computational Materials Science 34 (2005) 173-187.
  • [5] P. Pingle, J. Sherwood, L. Gorbatikh, Properties of rigid-line inclusions as building blocks of naturally occurring composites, Composites Science and Technology 68 (2008) 2267-2272.
  • [6] L. Gorbatikh, S.V. Lomov, I. Verpoest, Relation between elastic properties and stress intensity factors for composites with rigid-line reinforcements, International Journal of Fracture 161 (2010) 205-212.
  • [7] K.X. Hu, A. Chandra, Y. Huang, On crack, rigid-line fiber, and interface interactions, Mechanics of Materials 19 (1994) 15-28.
  • [8] N.K. Salgado, M.H. Aliabadi, The application of the dual boundary element method to the analysis of cracked stiffened panels, Engineering Fracture Mechanics 54 (1996) 91-105.
  • [9] C.Y. Dong, S.H. Lo, Y.K. Cheung, Interaction between cracks and rigid-line inclusions by an integral equation approach, Computational Mechanics 31 (2003) 238-252.
  • [10] C.Y. Dong, Kang Yong Lee, Numerical analysis of doubly periodic array of cracks/rigid-line inclusions in an infinite isotropic medium using the boundary integral equation method, International Journal of Fracture 133 (2005) 389-405.
  • [11] C.Y. Dong, The integral equation formulations of an infinite elastic medium containing inclusions, cracks and rigid lines, Engineering Fracture Mechanics 28 (2008) 3952-3965.
  • [12] A.A. Becker, The boundary element method in engineering, A complete course, McGraw-Hill Book Company, London, 1992.
  • [13] P. Fedeliński, Boundary element method for analysis of elastic structures with rigid fibers, Engineering Modelling, 32 (2006) 135-142 (in Polish).
  • [14] P. Fedeliński, Analysis of representative volume elements with random microcracks, Chapter 17, Computational modelling and advanced simulation, J. Murin et al. (Eds.), Computational Methods in Applied Sciences 24 (2011) 333-341.
  • [15] A. Portela, M.H. Aliabadi, D.P. Rooke, The dual boundary element method: effective implementation for crack problems, International Journal for Numerical Methods in Engineering 33 (1992) 1269-1287.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-dedf5f57-47f5-4950-b531-5f175184f239
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