{"abstract":[{"lang":"eng","text":"The paper deals with a structural optimization of composite materials with periodic microstructures invoking an elasto-plasticity model with the von Mises yield criterion. Closest-point return mapping algorithms within the incremental finite element method are applied for the numerical solution of the problem. The latter iterative schemes are computationally effective, robust and stable, and have recently become the most popular means for numerical implementation of elasto-plastic models. The homogenized elasto-plastic equation is considered as an equality constraint in the structural optimization problem. Numerical experiments for the computation of the homogenized coefficients involving adaptive finite element discretizations of the three-dimensional periodicity microcell are presented."}],"publication_identifier":{"issn":["0378-4754"]},"type":"journal_article","intvolume":"        74","language":[{"iso":"eng"}],"date_updated":"2024-06-10T11:28:04Z","page":"468-480","issue":"6","author":[{"last_name":"Hoppe","full_name":"Hoppe, Ronald H.W.","first_name":"Ronald H.W."},{"first_name":"Svetozara","id":"201871","full_name":"Petrova, Svetozara","last_name":"Petrova"}],"publisher":"Elsevier BV","doi":"10.1016/j.matcom.2006.07.002","volume":74,"user_id":"220548","citation":{"bibtex":"@article{Hoppe_Petrova_2007, title={Elasto-plasticity model in structural optimization of composite materials with periodic microstructures}, volume={74}, DOI={<a href=\"https://doi.org/10.1016/j.matcom.2006.07.002\">10.1016/j.matcom.2006.07.002</a>}, number={6}, journal={Mathematics and Computers in Simulation}, publisher={Elsevier BV}, author={Hoppe, Ronald H.W. and Petrova, Svetozara}, year={2007}, pages={468–480} }","ama":"Hoppe RHW, Petrova S. Elasto-plasticity model in structural optimization of composite materials with periodic microstructures. <i>Mathematics and Computers in Simulation</i>. 2007;74(6):468-480. doi:<a href=\"https://doi.org/10.1016/j.matcom.2006.07.002\">10.1016/j.matcom.2006.07.002</a>","mla":"Hoppe, Ronald H. W., and Svetozara Petrova. “Elasto-Plasticity Model in Structural Optimization of Composite Materials with Periodic Microstructures.” <i>Mathematics and Computers in Simulation</i>, vol. 74, no. 6, Elsevier BV, 2007, pp. 468–80, doi:<a href=\"https://doi.org/10.1016/j.matcom.2006.07.002\">10.1016/j.matcom.2006.07.002</a>.","chicago":"Hoppe, Ronald H.W., and Svetozara Petrova. “Elasto-Plasticity Model in Structural Optimization of Composite Materials with Periodic Microstructures.” <i>Mathematics and Computers in Simulation</i> 74, no. 6 (2007): 468–80. <a href=\"https://doi.org/10.1016/j.matcom.2006.07.002\">https://doi.org/10.1016/j.matcom.2006.07.002</a>.","apa":"Hoppe, R. H. W., &#38; Petrova, S. (2007). Elasto-plasticity model in structural optimization of composite materials with periodic microstructures. <i>Mathematics and Computers in Simulation</i>, <i>74</i>(6), 468–480. <a href=\"https://doi.org/10.1016/j.matcom.2006.07.002\">https://doi.org/10.1016/j.matcom.2006.07.002</a>","ieee":"R. H. W. Hoppe and S. Petrova, “Elasto-plasticity model in structural optimization of composite materials with periodic microstructures,” <i>Mathematics and Computers in Simulation</i>, vol. 74, no. 6, pp. 468–480, 2007.","short":"R.H.W. Hoppe, S. Petrova, Mathematics and Computers in Simulation 74 (2007) 468–480.","alphadin":"<span style=\"font-variant:small-caps;\">Hoppe, Ronald H.W.</span> ; <span style=\"font-variant:small-caps;\">Petrova, Svetozara</span>: Elasto-plasticity model in structural optimization of composite materials with periodic microstructures. In: <i>Mathematics and Computers in Simulation</i> Bd. 74, Elsevier BV (2007), Nr. 6, S. 468–480"},"project":[{"_id":"f432a2ee-bceb-11ed-a251-a83585c5074d","name":"Institute for Data Science Solutions"}],"date_created":"2024-05-29T09:05:55Z","publication":"Mathematics and Computers in Simulation","title":"Elasto-plasticity model in structural optimization of composite materials with periodic microstructures","status":"public","_id":"4612","year":"2007","publication_status":"published"}