Reference : Mechanical failure in microstructural heterogeneous materials
Scientific congresses, symposiums and conference proceedings : Paper published in a journal
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/34903
Mechanical failure in microstructural heterogeneous materials
English
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Hoppe, R. H. W. [Institute of Mathematics, University of Augsburg, 86159 Augsburg, Germany, Department of Mathematics, University of Houston, TX 77204-3008, United States]
Petrova, S. I. [Institute of Mathematics, University of Augsburg, 86159 Augsburg, Germany, Institute for Parallel Processing, BAS, Block 25A, 1113 Sofia, Bulgaria]
2007
Lecture Notes in Computer Science
Springer
4310 LNCS
533-541
Yes
International
0302-9743
1611-3349
6th International Conference on Numerical Methods and Applications, NMA 2006
20 August 2006 through 24 August 2006
Borovets
[en] Asymptotic analysis ; Bioceramics ; Crack initiation ; Crack propagation ; Failure (mechanical) ; Homogenization method ; Mathematical models ; Biomorphic cellular ceramics ; Microscopic models ; Microstructural heterogeneous materials ; Microstructure
[en] Various heterogeneous materials with multiple scales and multiple phases in the microstructure have been produced in the recent years. We consider a mechanical failure due to the initiation and propagation of cracks in places of high pore density in the microstructures. A multi-scale method based on the asymptotic homogenization theory together with the mesh superposition method (s-version of FEM) is presented for modeling of cracks. The homogenization approach is used on the global domain excluding the vicinity of the crack where the periodicity of the microstructures is lost and this approach fails. The multiple scale method relies on efficient combination of both macroscopic and microscopic models. The mesh superposition method uses two independent (global and local) finite element meshes and the concept of superposing the local mesh onto the global continuous mesh in such a way that both meshes not necessarily coincide. The homogenized material model is considered on the global mesh while the crack is analyzed in the local domain (patch) which allows to have an arbitrary geometry with respect to the underlying global finite elements. Numerical experiments for biomorphic cellular ceramics with porous microstructures produced from natural wood are presented.
Researchers ; Professionals ; Students ; General public ; Others
http://hdl.handle.net/10993/34903
10.1007/978-3-540-70942-8_64

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