{"keyword":["Shape optimization","Primal–dual method","Homogenization","Elasticity problem","Adaptive refinement"],"doi":"10.1016/j.matcom.2004.01.002","publisher":"Elsevier BV","author":[{"last_name":"Hoppe","full_name":"Hoppe, Ronald H.W.","first_name":"Ronald H.W."},{"full_name":"Petrova, Svetozara","last_name":"Petrova","first_name":"Svetozara","id":"201871"}],"project":[{"_id":"f432a2ee-bceb-11ed-a251-a83585c5074d","name":"Institute for Data Science Solutions"}],"intvolume":"        65","publication_identifier":{"issn":["0378-4754"]},"date_updated":"2024-06-03T10:54:46Z","date_created":"2024-05-28T09:10:13Z","publication":"Mathematics and Computers in Simulation","user_id":"220548","page":"257-272","abstract":[{"text":"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.","lang":"eng"}],"language":[{"iso":"eng"}],"volume":65,"issue":"3","status":"public","_id":"4592","year":"2004","type":"journal_article","publication_status":"published","title":"Optimal shape design in biomimetics based on homogenization and adaptivity","citation":{"apa":"Hoppe, R. H. W., &#38; Petrova, S. (2004). Optimal shape design in biomimetics based on homogenization and adaptivity. <i>Mathematics and Computers in Simulation</i>, <i>65</i>(3), 257–272. <a href=\"https://doi.org/10.1016/j.matcom.2004.01.002\">https://doi.org/10.1016/j.matcom.2004.01.002</a>","ama":"Hoppe RHW, Petrova S. Optimal shape design in biomimetics based on homogenization and adaptivity. <i>Mathematics and Computers in Simulation</i>. 2004;65(3):257-272. doi:<a href=\"https://doi.org/10.1016/j.matcom.2004.01.002\">10.1016/j.matcom.2004.01.002</a>","ieee":"R. H. W. Hoppe and S. Petrova, “Optimal shape design in biomimetics based on homogenization and adaptivity,” <i>Mathematics and Computers in Simulation</i>, vol. 65, no. 3, pp. 257–272, 2004.","bibtex":"@article{Hoppe_Petrova_2004, title={Optimal shape design in biomimetics based on homogenization and adaptivity}, volume={65}, DOI={<a href=\"https://doi.org/10.1016/j.matcom.2004.01.002\">10.1016/j.matcom.2004.01.002</a>}, number={3}, journal={Mathematics and Computers in Simulation}, publisher={Elsevier BV}, author={Hoppe, Ronald H.W. and Petrova, Svetozara}, year={2004}, pages={257–272} }","short":"R.H.W. Hoppe, S. Petrova, Mathematics and Computers in Simulation 65 (2004) 257–272.","mla":"Hoppe, Ronald H. W., and Svetozara Petrova. “Optimal Shape Design in Biomimetics Based on Homogenization and Adaptivity.” <i>Mathematics and Computers in Simulation</i>, vol. 65, no. 3, Elsevier BV, 2004, pp. 257–72, doi:<a href=\"https://doi.org/10.1016/j.matcom.2004.01.002\">10.1016/j.matcom.2004.01.002</a>.","chicago":"Hoppe, Ronald H.W., and Svetozara Petrova. “Optimal Shape Design in Biomimetics Based on Homogenization and Adaptivity.” <i>Mathematics and Computers in Simulation</i> 65, no. 3 (2004): 257–72. <a href=\"https://doi.org/10.1016/j.matcom.2004.01.002\">https://doi.org/10.1016/j.matcom.2004.01.002</a>.","alphadin":"<span style=\"font-variant:small-caps;\">Hoppe, Ronald H.W.</span> ; <span style=\"font-variant:small-caps;\">Petrova, Svetozara</span>: Optimal shape design in biomimetics based on homogenization and adaptivity. In: <i>Mathematics and Computers in Simulation</i> Bd. 65, Elsevier BV (2004), Nr. 3, S. 257–272"}}