Adaptive Grid Refinement for Computation of the Homogenized Elasticity Tensor
R.H.W. Hoppe, S. Petrova, Y.V. Vassilevski, in: I. Lirkov, S. Margenov, J. Waśniewski, P. Yalamov (Eds.), Large-Scale Scientific Computing, Springer, Berlin, Heidelberg, 2004, pp. 371–378.
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Konferenzbeitrag
| Veröffentlicht
| Englisch
Autor*in
Hoppe, Ronald H. W.;
Petrova, Svetozara
;
Vassilevski, Yuri V.
;
Vassilevski, Yuri V.Herausgeber*in
Lirkov, Ivan;
Margenov, Svetozar;
Waśniewski, Jerzy;
Yalamov, Plamen
Abstract
Optimal structural design of microstructured materials is one of the central issues of material science. The paper deals with the shape optimization of microcellular biomorphic silicon carbide ceramics produced from natural wood by biotemplating. Our purpose is to achieve an optimal performance of the new composite materials by solving a nonlinear optimization problem under a set of equality and inequality constraints. The microscopic geometric quantities serve as design parameters within the optimization procedure. Adaptive grid-refinement technique based on reliable and efficient a posteriori error estimators is applied in the microstructure to compute the homogenized elasticity coefficients. Some numerical results are included and discussed.
Erscheinungsjahr
Titel des Konferenzbandes
Large-Scale Scientific Computing
Seite
371-378
Konferenz
Large-Scale Scientific Computing LSSC
Konferenzort
Sozopol, Bulgarien
Konferenzdatum
2003-06-04 – 2003-06-08
ISBN
ISSN
eISSN
FH-PUB-ID
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Hoppe, Ronald H. W. ; Petrova, Svetozara ; Vassilevski, Yuri V.: Adaptive Grid Refinement for Computation of the Homogenized Elasticity Tensor. In: Lirkov, I. ; Margenov, S. ; Waśniewski, J. ; Yalamov, P. (Hrsg.): Large-Scale Scientific Computing, Lecture Notes in Computer Science. Berlin, Heidelberg : Springer, 2004, S. 371–378
Hoppe RHW, Petrova S, Vassilevski YV. Adaptive Grid Refinement for Computation of the Homogenized Elasticity Tensor. In: Lirkov I, Margenov S, Waśniewski J, Yalamov P, eds. Large-Scale Scientific Computing. Lecture Notes in Computer Science. Berlin, Heidelberg: Springer; 2004:371-378. doi:10.1007/978-3-540-24588-9_42
Hoppe, R. H. W., Petrova, S., & Vassilevski, Y. V. (2004). Adaptive Grid Refinement for Computation of the Homogenized Elasticity Tensor. In I. Lirkov, S. Margenov, J. Waśniewski, & P. Yalamov (Eds.), Large-Scale Scientific Computing (pp. 371–378). Berlin, Heidelberg: Springer. https://doi.org/10.1007/978-3-540-24588-9_42
@inproceedings{Hoppe_Petrova_Vassilevski_2004, place={Berlin, Heidelberg}, series={Lecture Notes in Computer Science}, title={Adaptive Grid Refinement for Computation of the Homogenized Elasticity Tensor}, DOI={10.1007/978-3-540-24588-9_42}, booktitle={Large-Scale Scientific Computing}, publisher={Springer}, author={Hoppe, Ronald H. W. and Petrova, Svetozara and Vassilevski, Yuri V.}, editor={Lirkov, Ivan and Margenov, Svetozar and Waśniewski, Jerzy and Yalamov, PlamenEditors}, year={2004}, pages={371–378}, collection={Lecture Notes in Computer Science} }
Hoppe, Ronald H. W., Svetozara Petrova, and Yuri V. Vassilevski. “Adaptive Grid Refinement for Computation of the Homogenized Elasticity Tensor.” In Large-Scale Scientific Computing, edited by Ivan Lirkov, Svetozar Margenov, Jerzy Waśniewski, and Plamen Yalamov, 371–78. Lecture Notes in Computer Science. Berlin, Heidelberg: Springer, 2004. https://doi.org/10.1007/978-3-540-24588-9_42.
R. H. W. Hoppe, S. Petrova, and Y. V. Vassilevski, “Adaptive Grid Refinement for Computation of the Homogenized Elasticity Tensor,” in Large-Scale Scientific Computing, Sozopol, Bulgarien, 2004, pp. 371–378.
Hoppe, Ronald H. W., et al. “Adaptive Grid Refinement for Computation of the Homogenized Elasticity Tensor.” Large-Scale Scientific Computing, edited by Ivan Lirkov et al., Springer, 2004, pp. 371–78, doi:10.1007/978-3-540-24588-9_42.
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