Optimal shape design in biomimetics based on homogenization and adaptivity
R.H.W. Hoppe, S. Petrova, Mathematics and Computers in Simulation 65 (2004) 257–272.
Download
Es wurde kein Volltext hochgeladen. Nur Publikationsnachweis!
Artikel
| Veröffentlicht
| Englisch
Autor*in
Hoppe, Ronald H.W.;
Petrova, Svetozara
Abstract
Optimal shape design of microstructured materials has recently attracted a great deal of attention in materials science. The shape and the topology of the microstructure have a significant impact on the macroscopic properties. The paper is devoted to the shape optimization of new biomorphic microcellular silicon carbide ceramics produced from natural wood by biotemplating. This is a novel technology in the field of biomimetics which features a material synthesis from biologically grown materials into ceramic composites by fast high-temperature processing. We are interested in finding the best material-and-shape combination in order to achieve the optimal prespecified performance of the composite material. The computation of the effective material properties is carried out using the homogenization method. Adaptive mesh-refinement technique based on the computation of recovered stresses is applied in the microstructure to find the homogenized elasticity coefficients. Numerical results show the reliability of the implemented a posteriori error estimators.
Stichworte
Erscheinungsjahr
Zeitschriftentitel
Mathematics and Computers in Simulation
Band
65
Zeitschriftennummer
3
Seite
257-272
ISSN
FH-PUB-ID
Zitieren
Hoppe, Ronald H.W. ; Petrova, Svetozara: Optimal shape design in biomimetics based on homogenization and adaptivity. In: Mathematics and Computers in Simulation Bd. 65, Elsevier BV (2004), Nr. 3, S. 257–272
Hoppe RHW, Petrova S. Optimal shape design in biomimetics based on homogenization and adaptivity. Mathematics and Computers in Simulation. 2004;65(3):257-272. doi:10.1016/j.matcom.2004.01.002
Hoppe, R. H. W., & Petrova, S. (2004). Optimal shape design in biomimetics based on homogenization and adaptivity. Mathematics and Computers in Simulation, 65(3), 257–272. https://doi.org/10.1016/j.matcom.2004.01.002
@article{Hoppe_Petrova_2004, title={Optimal shape design in biomimetics based on homogenization and adaptivity}, volume={65}, DOI={10.1016/j.matcom.2004.01.002}, number={3}, journal={Mathematics and Computers in Simulation}, publisher={Elsevier BV}, author={Hoppe, Ronald H.W. and Petrova, Svetozara}, year={2004}, pages={257–272} }
Hoppe, Ronald H.W., and Svetozara Petrova. “Optimal Shape Design in Biomimetics Based on Homogenization and Adaptivity.” Mathematics and Computers in Simulation 65, no. 3 (2004): 257–72. https://doi.org/10.1016/j.matcom.2004.01.002.
R. H. W. Hoppe and S. Petrova, “Optimal shape design in biomimetics based on homogenization and adaptivity,” Mathematics and Computers in Simulation, vol. 65, no. 3, pp. 257–272, 2004.
Hoppe, Ronald H. W., and Svetozara Petrova. “Optimal Shape Design in Biomimetics Based on Homogenization and Adaptivity.” Mathematics and Computers in Simulation, vol. 65, no. 3, Elsevier BV, 2004, pp. 257–72, doi:10.1016/j.matcom.2004.01.002.
Google Scholar