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Journal of Structural Mechanics Volume 10, 1982 - Issue 4
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Original Articles

Design for Minimum Stress Concentration by Finite Elements and Linear Programming

Paull Pedersen DEPARTMENT OF SOLID MECHANICS, THE TECHNICAL UNIVERSITY OF DENMARK, LYNGBY, DENMARK
&
Carsten Lau Laursen DEPARTMENT OF SOLID MECHANICS, THE TECHNICAL UNIVERSITY OF DENMARK, LYNGBY, DENMARK
Pages 375-391 | Received 06 Oct 1981, Published online: 25 Jun 2007

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Mircea Gh. Munteanu, Francesco De Bona & Fabio Bressan*. (2018) Shaft design: A semi-analytical finite element approach. Mechanics Based Design of Structures and Machines 46:2, pages 184-195.
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SØREN GYDE THOMSEN. (1987) OPTIMIZATION OF DIES FOR AXISYMMETRIC COLD FORWARD EXTRUSION. Engineering Optimization 11:1-2, pages 13-20.
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Articles from other publishers (56)

Nirmal Rakeshbhai Ravaliya, Lovepreet Singh & M. Abdul Akbar. (2023) Vulnerability Analysis of Critical Points in Three-Hinged Arch and Tie Connection. Journal of The Institution of Engineers (India): Series A 104:2, pages 455-465.
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Cheng YAN, Jianfeng ZHU, Xiuli SHEN, Jun FAN, Zhigang JIA & Tiefeng CHEN. (2021) Structural design and optimization for vent holes of an industrial turbine sealing disk. Chinese Journal of Aeronautics 34:5, pages 265-277.
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Yicong Zhou, Qiyin Lin, Jun Hong & Nan Yang. (2021) Optimal design of functionally graded material for stress concentration reduction. Structures 29, pages 561-569.
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Gianluca Filippi & Massimiliano Vasile. 2021. Optimization Under Uncertainty with Applications to Aerospace Engineering. Optimization Under Uncertainty with Applications to Aerospace Engineering 541 573 .
Gianluca Filippi & Massimiliano Vasile. 2021. Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences. Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences 227 243 .
Gianluca Filippi, Massimiliano Vasile, Daniel Krpelik, Peter Zeno Korondi, Mariapia Marchi & Carlo Poloni. (2019) Space systems resilience optimisation under epistemic uncertainty. Acta Astronautica 165, pages 195-210.
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Niels Leergaard Pedersen. (2018) Aspects of stress in optimal shaft shoulder fillet. The Journal of Strain Analysis for Engineering Design 53:5, pages 285-294.
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Denis Benasciutti, Francesco De Bona & Mircea Gh Munteanu. (2016) A harmonic one-dimensional element for non-linear thermo-mechanical analysis of axisymmetric structures under asymmetric loads: The case of hot strip rolling. The Journal of Strain Analysis for Engineering Design 51:7, pages 518-531.
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Byong-Ug Park, Yu-Deok Seo, Ole Sigmund & Sung-Kie Youn. (2013) Shape optimization of the stokes flow problem based on isogeometric analysis. Structural and Multidisciplinary Optimization 48:5, pages 965-977.
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Michael Yu Wang & Li Li. (2012) Shape equilibrium constraint: a strategy for stress-constrained structural topology optimization. Structural and Multidisciplinary Optimization 47:3, pages 335-352.
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Zhong Luo, Xueyan Zhao, Le Liang & Fei Wang. (2012) Structural Optimization of Slender Robot Arm Based on Sensitivity Analysis. Mathematical Problems in Engineering 2012, pages 1-17.
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Yu-Deok Seo, Hyun-Jung Kim & Sung-Kie Youn. (2010) Shape optimization and its extension to topological design based on isogeometric analysis. International Journal of Solids and Structures 47:11-12, pages 1618-1640.
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F O Sonmez. (2009) Optimal shape design of shoulder fillets for flat and round bars under various loadings. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 223:8, pages 1741-1754.
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R. Das & R. Jones. (2008) Damage tolerance based design optimisation of a fuel flow vent hole in an aircraft structure. Structural and Multidisciplinary Optimization 38:3, pages 245-265.
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Pauli Pedersen. (2007) Suggested benchmarks for shape optimization for minimum stress concentration. Structural and Multidisciplinary Optimization 35:4, pages 273-283.
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Trine Klemensø, Erik Lund & Bent F. Sørensen. (2007) Optimal Shape of Thin Tensile Test Specimen. Journal of the American Ceramic Society 90:6, pages 1827-1835.
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Laurent Van Miegroet & Pierre Duysinx. (2007) Stress concentration minimization of 2D filets using X-FEM and level set description. Structural and Multidisciplinary Optimization 33:4-5, pages 425-438.
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Habib Uysal, Rustem Gul & Umit Uzman. (2007) Optimum shape design of shell structures. Engineering Structures 29:1, pages 80-87.
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L. F. Pascal Etman, A. Groenwold & J. Rooda. (2006) Sequential Approximate Optimization in an NLP Filter Framework. Sequential Approximate Optimization in an NLP Filter Framework.
Kazuhiro Saitou, Kazuhiro Izui, Shinji Nishiwaki & Panos Papalambros. (2005) A Survey of Structural Optimization in Mechanical Product Development. Journal of Computing and Information Science in Engineering 5:3, pages 214-226.
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R. Das, R. Jones & Y.M. Xie. (2005) Design of structures for optimal static strength using ESO. Engineering Failure Analysis 12:1, pages 61-80.
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T. Lisby, S.A. Nikles, K. Najafi, O. Hansen, S. Bouwstra & J.A. Branebjerg. (2004) Mechanical Characterization and Design of Flexible Silicon Microstructures. Journal of Microelectromechanical Systems 13:3, pages 452-464.
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Jie Shen & David Yoon. (2003) A new scheme for efficient and direct shape optimization of complex structures represented by polygonal meshes. International Journal for Numerical Methods in Engineering 58:14, pages 2201-2223.
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Jie Shen. (2003) Feature-Based Optimization of Beam Structures Represented by Polygonal Meshes. Journal of Computing and Information Science in Engineering 3:3, pages 243-249.
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K. C. Lim, J. Lawrence, L. Li, R. E. Edwards & A. W. Gale. (2003) Optimisation of the curvature of a laser generated single stage ceramic tile grout seal with the finite element method. Optimisation of the curvature of a laser generated single stage ceramic tile grout seal with the finite element method.
G.P Steven, Q Li & Y.M Xie. (2002) Multicriteria optimization that minimizes maximum stress and maximizes stiffness. Computers & Structures 80:27-30, pages 2433-2448.
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Qing Li, Grant P. Steven & Y.M. Xie. (2000) Evolutionary structural optimization for stress minimization problems by discrete thickness design. Computers & Structures 78:6, pages 769-780.
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P. Chaperon, R. Jones, M. Heller, S. Pitt & F. Rose. (2000) A methodology for structural optimisation with damage tolerance constraints. Engineering Failure Analysis 7:4, pages 281-300.
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Qing Li, Grant P. Steven, Osvaldo M. Querin & Y.M. Xie. (1999) Evolutionary shape optimization for stress minimization. Mechanics Research Communications 26:6, pages 657-664.
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Kai-Lin Hsu & Taketo Uomoto. (1998) SHAPE OPTIMIZATION BY BIOLOGICAL GROWTH STRAIN METHOD-MINIMIZATION OF STRESS CONCENTRATION生体成長ひずみ法に基づく構造形状最適化-応力集中の低減. Doboku Gakkai Ronbunshu 1998:591, pages 9-18.
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P. Podersen. (1998) Some general optimal design results using anisotropic, power law nonlinear elasticity. Structural Optimization 15:2, pages 73-80.
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Osama K. Bedair. (1997) The application of the indirect boundary element method to optimum shape design. Computers & Structures 65:5, pages 651-668.
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M. Pourazady & Z. Fu. (1996) An integrated approach to structural shape optimization. Computers & Structures 60:2, pages 279-289.
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Yeh-Liang Hsu, S.D. Sheppard & D.J. Wilde. (1995) The curvature function method for two-dimensional shape optimization under stress constraints. Computers & Structures 55:4, pages 647-657.
Crossref
Niels Olhoff & Erik Lund. 1995. Advances in Structural Optimization. Advances in Structural Optimization 1 45 .
Yeh-Liang Hsu. (1994) A review of structural shape optimization. Computers in Industry 25:1, pages 3-13.
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Y. -L. Hsu, C. R. Steele & S. D. Sheppard. (1994) Fully stressed thickness profile design at discontinuities of axisymmetric shells. Structural Optimization 7:3, pages 199-205.
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Byung Man Kwak. (1994) A REVIEW ON SHAPE OPTIMAL DESIGN AND SENSITIVITY ANALYSIS. Doboku Gakkai Ronbunshu 1994:483, pages 1-16.
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R.A. Naqib, A. Zureick & K.M. Will. (1994) New approximate-iterative technique in shape optimization of continuum structures. Computers & Structures 51:6, pages 737-748.
Crossref
K. Weeber & S.R.H. Hoole. (1993) Structural design optimization as a technology source for developments in the electromagnetics domain. IEEE Transactions on Magnetics 29:2, pages 1807-1811.
Crossref
H. C. Rodrigues. (1993) A mixed variational formulation for shape optimization of solids with contact conditions. Structural Optimization 6:1, pages 19-28.
Crossref
C.S Han & B.P Wang. (1993) Optimum design of rectangular panels with a hole. Advances in Engineering Software 16:2, pages 127-134.
Crossref
E. Schnack & G. Iancu. 1993. Optimization of Large Structural Systems. Optimization of Large Structural Systems 1073 1086 .
R. J. Yang, A. Lee & D. T. McGeen. (1992) Application of basis function concept to practical shape optimization problems. Structural Optimization 5:1-2, pages 55-63.
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Zhiye Zhao & R.A. Adey. (1992) A numerical study on the elements of shape optimum design. Engineering Analysis with Boundary Elements 9:4, pages 339-349.
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E. Schnack & G. Iancu. 1992. Shape and Layout Optimization of Structural Systems and Optimality Criteria Methods. Shape and Layout Optimization of Structural Systems and Optimality Criteria Methods 457 482 .
A Moghaddasi-Tafreshi & R T Fenner. (2007) Design optimization using the boundary element method. The Journal of Strain Analysis for Engineering Design 26:4, pages 231-241.
Crossref
Zhiye ZhaoZhiye Zhao. 1991. Shape Design Sensitivity Analysis and Optimization Using the Boundary Element Method. Shape Design Sensitivity Analysis and Optimization Using the Boundary Element Method 26 37 .
Zhiye ZhaoZhiye Zhao. 1991. Shape Design Sensitivity Analysis and Optimization Using the Boundary Element Method. Shape Design Sensitivity Analysis and Optimization Using the Boundary Element Method 1 25 .
Martin Philip Bendsøe & Noboru Kikuchi. (1988) Generating optimal topologies in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering 71:2, pages 197-224.
Crossref
Gengdong Cheng & Biao Fu. 1988. Structural Optimization. Structural Optimization 57 62 .
Sait Aksoy & Brian Fabien. Design Optimization of Bladed Disk Roots. Design Optimization of Bladed Disk Roots.
Raphael T. Haftka & Ramana V. Grandhi. (1986) Structural shape optimization—A survey. Computer Methods in Applied Mechanics and Engineering 57:1, pages 91-106.
Crossref
Yunliang Ding. (1986) Shape optimization of structures: a literature survey. Computers & Structures 24:6, pages 985-1004.
Crossref
Jacob Dahl Dybbro & Nils Chr. Holm. (1986) On minimization of stress concentration for three-dimensional models. Computers & Structures 24:4, pages 637-643.
Crossref
J.E. Taylor & Martin P. Bendsøe. (1984) An interpretation for min-max structural design problems including a method for relaxing constraints. International Journal of Solids and Structures 20:4, pages 301-314.
Crossref

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