@article{MTMT:2628674,
	title = {Exact analytical solutions for some popular benchmark problems in topology optimization II: three-sided polygonal supports},
	url = {https://m2.mtmt.hu/api/publication/2628674},
	author = {Lewinski, T and Rozványi, György},
	doi = {10.1007/s00158-007-0093-7},
	journal-iso = {STRUCT MULTIDISCIP OPTIM},
	journal = {STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION},
	volume = {33},
	unique-id = {2628674},
	issn = {1615-147X},
	abstract = {In an earlier paper (Rozvany, Struct Optim 15:42-48, 1998), the second
		author summarized known analytical solutions for some popular benchmark
		problems in topology optimization. In this, and in some subsequent
		papers, further exact optimal topologies are derived for least-weight,
		stress-controlled trusses, with load and support conditions that are
		frequently used in benchmark examples for numerical methods in topology
		optimization.},
	year = {2007},
	eissn = {1615-1488},
	pages = {337-349}
}

@article{MTMT:2629242,
	title = {Discussion of the paper "Tensorial form definitions of discrete mechanical quantities for granular assemblies" [M. Satake, Int. J. Solids and Structures 2004, 41(21), pp. 5775-5791]},
	url = {https://m2.mtmt.hu/api/publication/2629242},
	author = {Bagi, Katalin},
	doi = {10.1016/j.ijsolstr.2006.01.002},
	journal-iso = {INT J SOLIDS STRUCT},
	journal = {INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES},
	volume = {43},
	unique-id = {2629242},
	issn = {0020-7683},
	abstract = {The aim of this Discussion is to clarify a terminological issue in a
		previous IJSS paper. (c) 2006 Elsevier Ltd. All rights reserved.},
	year = {2006},
	eissn = {1879-2146},
	pages = {2840-2844},
	orcid-numbers = {Bagi, Katalin/0000-0003-1668-9626}
}

@book{MTMT:2624269,
	title = {Some Concepts of Functional Analysis using Mathematica},
	url = {https://m2.mtmt.hu/api/publication/2624269},
	author = {Popper, György},
	publisher = {Műegyetemi Kiadó},
	unique-id = {2624269},
	year = {2006}
}

@article{MTMT:2619344,
	title = {Eight-node quadrilateral double-curved surface element for membrane analysis},
	url = {https://m2.mtmt.hu/api/publication/2619344},
	author = {Hegyi, Dezső and Sajtos, István and Geiszter, Gy and Hincz, Krisztián},
	doi = {10.1016/j.compstruc.2006.08.046},
	journal-iso = {COMPUT STRUCT},
	journal = {COMPUTERS & STRUCTURES},
	volume = {84},
	unique-id = {2619344},
	issn = {0045-7949},
	abstract = {The dynamic relaxation method is applied to membrane analysis using an eight-node quadrilateral element. The element uses second
		order shape functions to approximate the geometry of the structure. The element is based on the element of Gosling and Lewis [Gosling
		PD, Lewis WJ. Optimal structural membranes—I. Formulation of a curved quadrilateral element for surface definition. Comp Struct
		1996;61:871–83]. They used a finite element approach. In this paper exact tensorial calculation is used to determine the exact deformation
		between the deformation-free state and the actual state.
		#?# 2006 Elsevier Ltd. All rights reserved.},
	year = {2006},
	eissn = {1879-2243},
	pages = {2151-2158},
	orcid-numbers = {Hincz, Krisztián/0000-0001-5190-2862}
}

@inproceedings{MTMT:1792965,
	title = {Analysis of Membrane Structures Using Visco-Elastic Material Model},
	url = {https://m2.mtmt.hu/api/publication/1792965},
	author = {Hincz, Krisztián},
	booktitle = {IABSE Symposium on Responding to Tomorrow's Challenges in Structural Engineering},
	unique-id = {1792965},
	year = {2006},
	pages = {1-7},
	orcid-numbers = {Hincz, Krisztián/0000-0001-5190-2862}
}

@inbook{MTMT:1779958,
	title = {A katasztrófaelmélet alkalmazása a szerkezetek stabilitásvizsgálatában. 4. fejezet},
	url = {https://m2.mtmt.hu/api/publication/1779958},
	author = {Gáspár, Zsolt},
	booktitle = {A mérnöki stabilitáselmélet különleges problémái},
	unique-id = {1779958},
	year = {2006},
	pages = {158-276},
	orcid-numbers = {Gáspár, Zsolt/0000-0003-1491-7074}
}

@inproceedings{MTMT:1707689,
	title = {Numerical Methods to Avoid Topological Singularities},
	url = {https://m2.mtmt.hu/api/publication/1707689},
	author = {Pomezanski, Vanda Olimpia},
	booktitle = {Proceedings of the Eighth International Conference on Computational Structures Technology},
	doi = {10.4203/ccp.83.211},
	unique-id = {1707689},
	abstract = {Summary One of the most severe computational difficulties in finite element (FE) based topology optimization is caused by solid (or "black") ground elements connected only through a corner node. This configuration may appear in checkerboard patterns, diagonal element chains or as isolated hinges. Corner contacts in nominally optimal topologies are caused by discretization errors associated with simple (e.g. four-node) elements (e.g. Sigmund and Petersson [1]), which grossly overestimate the stiffness of corner regions with stress concentrations. In fact, it was shown by Gaspar et al. [2] that both checkerboard patterns and diagonal element chains may give an infinite compliance, if the latter is calculated by an exact analytical method. This makes them the worst possible solution, if an exact analysis is used in compliance minimization. Corner contacts may be suppressed by (a) a more accurate FE analysis of the ground elements, where the process may use several simple FEs per ground element (e.g. Rozvany and Zhou [3]), or higher order elements (Sigmund and Petersson [1]). Disadvantages of this approach are * greatly increased DOF for a given number of ground elements and * some diagonal chains remaining in the solution (Gaspar et al. [4]). (b) Modification of the original problem by using geometrical constraints or "diffused" sensitivities (filters), e.g. perimeter control (Haber and Bendsoe [5]) or filtering (e.g. Sigmund [6]) changes the original topology optimization problem and this usually results in a lower resolution, which may, in some cases, be somewhat nonoptimal in terms of the original problem [2]. (c) Employing a constraint preventing corner contacts directly, here the "corner contact function" (CCF) with a high value for corner contacts and a low value for any other configuration around a corner node is an additional constraint (e.g. Poulsen [7]). (d) Correcting selectively the discretization errors by appropriately penalizing corner contacts, in this case the CCF is an additional term in the objective function representing penalty for corner contacts. The approach (d) seems to be the most rational, because it rectifies the discretization errors, which lower incorrectly the value of the objective function (e.g. compliance). The proposed method is particularly effective in combination with the SIMP method, since the latter is a penalization method in its original form, and requires only a minor modification for corner contact control (CO-SIMP). An early corner contact function was suggested by Bendsoe et al. [8]. Defining and employing new CCFs, continuous functions which have a high value for corner contacts and a low value for any other configuration around a node, as an objective a new mathematical programming process CO-SIMP was developed [9]. The CO-SIMP method for the case of Michell's cantilever generates a similar result as the exact solution. The development of the CCFs properties, the numerical method, the modified SIMP algorithm and extensive numerical examples are included in the paper.},
	year = {2006},
	orcid-numbers = {Pomezanski, Vanda Olimpia/0000-0002-0637-8413}
}

@inproceedings{MTMT:1707680,
	title = {Some Basic Issues of Topology Optimization},
	url = {https://m2.mtmt.hu/api/publication/1707680},
	author = {Rozványi, György and Pomezanski, Vanda Olimpia and Querin, OM and Gáspár, Zsolt and Lógó, János},
	booktitle = {IUTAM Symposium on Topological Design Optimization of Structures, Machines and Materials},
	doi = {10.1007/1-4020-4752-5_8},
	unique-id = {1707680},
	year = {2006},
	pages = {77-86},
	orcid-numbers = {Pomezanski, Vanda Olimpia/0000-0002-0637-8413; Gáspár, Zsolt/0000-0003-1491-7074; Lógó, János/0000-0003-0432-7193}
}

@inproceedings{MTMT:1669499,
	title = {The use of the medial-axis construction in the design of cable-membrane structures},
	url = {https://m2.mtmt.hu/api/publication/1669499},
	author = {Iványi, Péter},
	booktitle = {Proceedings of the Eighth International Conference on Computational Structures Technology},
	unique-id = {1669499},
	year = {2006},
	pages = {1-13},
	orcid-numbers = {Iványi, Péter/0000-0002-1110-2614}
}

@article{MTMT:208965,
	title = {Analysis of microstructural strain tensors for granular assemblies},
	url = {https://m2.mtmt.hu/api/publication/208965},
	author = {Bagi, Katalin},
	doi = {10.1016/j.ijsolstr.2005.07.016},
	journal-iso = {INT J SOLIDS STRUCT},
	journal = {INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES},
	volume = {43},
	unique-id = {208965},
	issn = {0020-7683},
	year = {2006},
	eissn = {1879-2146},
	pages = {3166-3184},
	orcid-numbers = {Bagi, Katalin/0000-0003-1668-9626}
}