{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T06:11:24Z","timestamp":1774937484682,"version":"3.50.1"},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"1-3","license":[{"start":{"date-parts":[[1997,10,1]],"date-time":"1997-10-01T00:00:00Z","timestamp":875664000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Programming"],"published-print":{"date-parts":[[1997,10]]},"DOI":"10.1007\/bf02614328","type":"journal-article","created":{"date-parts":[[2007,4,28]],"date-time":"2007-04-28T04:34:10Z","timestamp":1177734850000},"page":"445-466","source":"Crossref","is-referenced-by-count":64,"title":["Free material optimization via mathematical programming"],"prefix":"10.1007","volume":"79","author":[{"given":"Jochem","family":"Zowe","sequence":"first","affiliation":[]},{"given":"Michal","family":"Ko\u010dvara","sequence":"additional","affiliation":[]},{"given":"Martin P.","family":"Bends\u00f8e","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF02614328_CR1","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1016\/0899-8248(92)90005-S","volume":"4","author":"W. Achtziger","year":"1992","unstructured":"W. Achtziger, A. Ben-Tal, M. Bends\u00f8e and J. Zowe, Equivalent displacement based formulations for maximum strength truss topology design,IMPACT of Computing in Science and Engineering 4 (1992) 315\u2013345.","journal-title":"IMPACT of Computing in Science and Engineering"},{"key":"BF02614328_CR2","first-page":"839","volume":"12","author":"G. Allaire","year":"1993","unstructured":"G. Allaire and R. Kohn, Optimal design for minimum weight and compliance in plane stress using extremal microstructures,European J. on Mechanics (A\/Solids) 12 (1993) 839\u2013878.","journal-title":"European J. on Mechanics (A\/Solids)"},{"key":"BF02614328_CR3","doi-asserted-by":"crossref","first-page":"322","DOI":"10.1137\/0803015","volume":"3","author":"A. Ben-Tal","year":"1993","unstructured":"A. Ben-Tal and M. Bends\u00f8e, A new iterative method for optimal truss topology design,SIAM J. on Optimization 3 (1993) 322\u2013358.","journal-title":"SIAM J. on Optimization"},{"key":"BF02614328_CR4","series-title":"Research Report","volume-title":"Penalty\/barrier multiplier methods for minmax and constrained smooth convex programs","author":"A. Ben-Tal","year":"1992","unstructured":"A. Ben-Tal, I. Yuzefovich and M. Zibulevsky, Penalty\/barrier multiplier methods for minmax and constrained smooth convex programs, Research Report 9\/92, Optimization Laboratory, Technion \u2014 Israel Institute of Technology, Haifa, 1992."},{"key":"BF02614328_CR5","doi-asserted-by":"crossref","unstructured":"A. Ben-Tal and M. Zibulevsky, Penalty\/barrier multiplier methods for convex programming problems,SIAM J. on Optimization 7 (1997).","DOI":"10.1137\/S1052623493259215"},{"key":"BF02614328_CR6","doi-asserted-by":"crossref","first-page":"268","DOI":"10.1007\/BF01743387","volume":"6","author":"M.P. Bends\u00f8e","year":"1993","unstructured":"M.P. Bends\u00f8e and A. D\u00edaz, Optimization of material properties for Mindlin plate design,Structural Optimization 6 (1993) 268\u2013270.","journal-title":"Structural Optimization"},{"key":"BF02614328_CR7","doi-asserted-by":"crossref","first-page":"1149","DOI":"10.1002\/nme.1620380705","volume":"38","author":"M.P. Bends\u00f8e","year":"1995","unstructured":"M.P. Bends\u00f8e, A. D\u00edaz, R. Lipton and J.E. Taylor, Optimal design of material properties and material distribution for multiple loading conditions,Internat. J. for Numerical Methods in Engineering 38 (1995) 1149\u20131170.","journal-title":"Internat. J. for Numerical Methods in Engineering"},{"key":"BF02614328_CR8","doi-asserted-by":"crossref","first-page":"930","DOI":"10.1115\/1.2901581","volume":"61","author":"M.P. Bends\u00f8e","year":"1994","unstructured":"M.P. Bends\u00f8e, J.M. Guades, R.B. Haber, P. Pedersen and J.E. Taylor, An analytical model to predict optimal material properties in the context of optimal structural design,J. Applied Mechanics 61 (1994) 930\u2013937.","journal-title":"J. Applied Mechanics"},{"key":"BF02614328_CR9","first-page":"1179","volume":"33","author":"M.P. Bends\u00f8e","year":"1995","unstructured":"M.P. Bends\u00f8e, J.M. Guades, S. Plaxton and J.E. Taylor, Optimization of structure and material properties for solids composed of softening material,Internat. J. on Solids and Structures 33 (1995) 1179\u20131813.","journal-title":"Internat. J. on Solids and Structures"},{"key":"BF02614328_CR10","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03115-5","volume-title":"Optimization of Structural Topology, Shape and Material","author":"M.P. Bends\u00f8e","year":"1995","unstructured":"M.P. Bends\u00f8e,Optimization of Structural Topology, Shape and Material (Springer, Heidelberg, 1995)."},{"key":"BF02614328_CR11","volume-title":"Lectures on Optimization","author":"J. Cea","year":"1978","unstructured":"J. Cea,Lectures on Optimization (Springer, Berlin, 1978)."},{"key":"BF02614328_CR12","volume-title":"The Finite Element Method for Elliptic Problems","author":"P.G. Ciarlet","year":"1978","unstructured":"P.G. Ciarlet,The Finite Element Method for Elliptic Problems (North-Holland, Amsterdam, 1978)."},{"key":"BF02614328_CR13","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1007\/BF01743693","volume":"10","author":"A. D\u00edaz","year":"1995","unstructured":"A. D\u00edaz and O. Sigmund, Checkerboard patterns in layout optimization,Structural Optimization 10 (1995) 40\u201345.","journal-title":"Structural Optimization"},{"key":"BF02614328_CR14","volume-title":"Convex Analysis and Variational Problems","author":"I. Ekeland","year":"1976","unstructured":"I. Ekeland and R. Temam,Convex Analysis and Variational Problems (North-Holland, Amsterdam, 1976)."},{"key":"BF02614328_CR15","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1048-1","volume-title":"Solution of Variational Inequalities in Mechanics","author":"I. Hlav\u00e1\u010dek","year":"1988","unstructured":"I. Hlav\u00e1\u010dek, J. Haslinger, J. Ne\u010das and J. Lov\u00ed\u0161ek,Solution of Variational Inequalities in Mechanics (Springer, New York, 1988)."},{"key":"BF02614328_CR16","unstructured":"F. Jarre, M. Ko\u010dvara and J. Zowe, Interior point methods for mechanical design problems, Preprint 173, Institute of Applied Mathematics, University of Erlangen, 1996."},{"key":"BF02614328_CR17","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/0045-7825(95)00928-0","volume":"130","author":"C.S. Jog","year":"1996","unstructured":"C.S. Jog and R.B. Haber, Stability of finite element models for distributed parameter optimization and topology design,Computer Methods in Applied Mechanics and Engineering 130 (1996) 203\u2013226.","journal-title":"Computer Methods in Applied Mechanics and Engineering"},{"key":"BF02614328_CR18","doi-asserted-by":"crossref","unstructured":"M. Ko\u010dvara, M. Zibulevsky and J. Zowe, Mechanical design problems with unilateral contact,Mathematical Modelling and Numerical Analysis (1997), to appear.","DOI":"10.1051\/m2an\/1998320302551"},{"key":"BF02614328_CR19","unstructured":"S. Mehrotra, On the implementation of a (primal-dual) interior-point method, Technical Report 90-03, Dept. of Industrial Engineering and Management Sciences, Northwestern University, Evanston, IL, 1990."},{"key":"BF02614328_CR20","unstructured":"J. Petersson, A finite element analysis of optimal variable thickness sheets, Technical Report 1996-44, Department of Mathematics, Technical University of Denmark, Lyngby, 1996."},{"key":"BF02614328_CR21","doi-asserted-by":"crossref","first-page":"541","DOI":"10.1090\/qam\/1402408","volume":"54","author":"J. Petersson","year":"1996","unstructured":"J. Petersson, On stiffness maximization of variable thickness sheet with unilateral contact,Quarterly of Applied Mathematics 54 (1996) 541\u2013550.","journal-title":"Quarterly of Applied Mathematics"},{"key":"BF02614328_CR22","doi-asserted-by":"crossref","unstructured":"J. Petersson and J. Haslinger, An approximation theory for optimum sheet in unilateral contact,Quarterly of Applied Mathematics, to appear.","DOI":"10.1090\/qam\/1622499"},{"key":"BF02614328_CR23","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1007\/BF01586050","volume":"54","author":"R. Polyak","year":"1992","unstructured":"R. Polyak, Modified barrier functions: Theory and methods,Mathematical Programming 54 (1992) 177\u2013222.","journal-title":"Mathematical Programming"},{"key":"BF02614328_CR24","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1007\/BF01743590","volume":"5","author":"U. Ringertz","year":"1993","unstructured":"U. Ringertz, On finding the optimal distribution of material properties,Structural Optimization 5 (1993) 265\u2013267.","journal-title":"Structural Optimization"},{"key":"BF02614328_CR25","doi-asserted-by":"crossref","DOI":"10.1515\/9781400873173","volume-title":"Convex Analysis","author":"R.T. Rockafellar","year":"1970","unstructured":"R.T. Rockafellar,Convex Analysis (Princeton University Press, Princeton, NJ, 1970)."}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02614328.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02614328\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02614328","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,20]],"date-time":"2019-05-20T08:49:24Z","timestamp":1558342164000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02614328"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,10]]},"references-count":25,"journal-issue":{"issue":"1-3","published-print":{"date-parts":[[1997,10]]}},"alternative-id":["BF02614328"],"URL":"https:\/\/doi.org\/10.1007\/bf02614328","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"value":"0025-5610","type":"print"},{"value":"1436-4646","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,10]]}}}