Homogenization of plates with parallel cracks

• Autorzy: Holek Mateusz , Fedeliński Piotr

Identyfikatory

DOI

10.17512/jamcm.2020.1.03

• Języki publikacji: EN

Abstrakty

EN

The paper presents an analysis of effective elastic properties of plates with parallel cracks using the finite element method (FEM) and the boundary element method (BEM). Rectangular plates with parallel or inclined cracks to the edges of plates were considered. Different distances between cracks and different angles of cracks were studied. The displacement and traction boundary conditions were applied and their influence on the accuracy of overall properties of cracked material was analysed. The results obtained by the FEM and the BEM were compared.

Słowa kluczowe

EN

fracture mechanics; crack; finite element method; boundary element method; effective properties; representative volume element

PL

mechanika złamania; pęknięcie; metoda elementów skończonych; metoda elementów brzegowych; reprezentatywny element objętości; właściwości materiału

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2020
• Tom: Vol. 19, nr 1
• Strony: 31--41
• Opis fizyczny: Bibliogr. 12 poz., rys., tab.

Twórcy

autor

Holek Mateusz

• Department of Computational Mechanics and Engineering, Silesian University of Technology Gliwice, Poland

autor

Fedeliński Piotr

• Department of Computational Mechanics and Engineering, Silesian University of Technology Gliwice, Poland

Bibliografia

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• [3] Sevostianov, I., Picazo, M., & Garcia, J.R. (2011). Effect of branched cracks on the elastic compliance of a material. International Journal of Engineering Science, 49, 1062-1077.
• [4] Liu, J., & Graham-Brady, L. (2016). Effective anisotropic compliance relationships for wingcracked brittle materials under compression. International Journal of Solids and Structures, 100-101, 151-168.
• [5] Dong, C.Y., & Lee, K.Y. (2005). Numerical analysis of doubly periodic array of cracks/rigidline inclusions in an infinite isotropic medium using the boundary integral equation method. International Journal of Fracture, 133, 389-405.
• [6] Linkov, A.M., & Koshelev, V.F. (1999). Complex variables BIE and BEM for a plane doubly periodic system of flaws. Journal of the Chinese Institute of Engineers, 22, 709-720.
• [7] Linkov, A.M. (2002). Boundary Integral Equations in Elasticity Theory. Kluwer Academic Publishers.
• [8] Fedelinski, P. (2011). Analysis of representative volume elements with random microcracks. Chapter 17, in Computational Modelling and Advanced Simulation, Computational Methods in Applied Sciences 24, ed. J. Murin et al. Springer Science+Business Media B.V., 333-341.
• [9] Fedelinski, P. (2017). Effective properties of sintered materials with branched cracks. American Institute of Physics Conference Proceedings 1922, 030008-1-8.
• [10] Fedelinski, P. (2019). Boundary element analysis of cracks under compression. American Institute of Physics Conference Proceedings 2078, 020009-1-7.
• [11] Portela, A., Aliabadi, M.H., & Rooke, D.P. (1992). The dual boundary element method: effective implementation for crack problems. International Journal for Numerical Methods in Engineering, 33, 1269-1287.
• [12] Portela, A., & Aliabadi, M.H. (1993). Crack Growth Analysis using Boundary Elements. Computational Mechanics Publications.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).