Most cited papers in Topology Optimization in Engineering
What are the most cited papers in Topology Optimization in Engineering?
The most cited paper in Topology Optimization in Engineering is "Generating optimal topologies in structural design using a homogenization method" (Martin Philip Bendsøe, Noboru Kikuchi, 1988), with 7,508 citations. Next come "Topology Optimization: Theory, Methods, and Applications" (5,759) and "The method of moving asymptotes—a new method for structural optimization" (5,593).
Showing 50 of 100 papers. Every paper with more than 561 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Generating optimal topologies in structural design using a homogenization method Martin Philip Bendsøe, Noboru Kikuchi · Computer Methods in Applied Mechanics and Engineering | Nov 1988 | 7,508 |
| 2 | Topology Optimization: Theory, Methods, and Applications Martin Philip Bendsøe, Ole Sigmund | 17 Sep 2011 | 5,759 |
| 3 | The method of moving asymptotes—a new method for structural optimization Krister Svanberg · International Journal for Numerical Methods in Engineering | Feb 1987 | 5,593 |
| 4 | Finite Element Procedures in Engineering Analysis Klaus‐Jürgen Bathe, Hector Saunders · Journal of Pressure Vessel Technology | Nov 1984 | 5,195 |
| 5 | Optimal shape design as a material distribution problem Martin Philip Bendsøe · Structural and Multidisciplinary Optimization | Dec 1989 | 4,565 |
| 6 | A level set method for structural topology optimization Michael Yu Wang, Xiaoming Wang, Dongming Guo · Computer Methods in Applied Mechanics and Engineering | 27 Dec 2002 | 3,247 |
| 7 | Topology optimization approaches Ole Sigmund, Kurt K. Maute · Structural and Multidisciplinary Optimization | 20 Aug 2013 | 2,893 |
| 8 | Material interpolation schemes in topology optimization Martin Philip Bendsøe, Ole Sigmund · Archive of Applied Mechanics | 22 Nov 1999 | 2,853 |
| 9 | Structural optimization using sensitivity analysis and a level-set method Grégoire Allaire, François Jouve, Anca-Maria Toader · Journal of Computational Physics | 19 Dec 2003 | 2,770 |
| 10 | Grasshopper Optimisation Algorithm: Theory and application Shahrzad Saremi, Seyedali Mirjalili, Andrew W. Lewis · Advances in Engineering Software | 31 Jan 2017 | 2,745 |
| 11 | A 99 line topology optimization code written in Matlab Ole Sigmund · Structural and Multidisciplinary Optimization | Apr 2001 | 2,696 |
| 12 | A simple evolutionary procedure for structural optimization Yi Min Xie, Grant P. Steven · Computers & Structures | Dec 1993 | 2,684 |
| 13 | Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima Ole Sigmund, Joakim H. Petersson · Structural and Multidisciplinary Optimization | Aug 1998 | 2,128 |
| 14 | An incremental approach to the solution of snapping and buckling problems Eduard Riks · International Journal of Solids and Structures | 1979 | 2,000 |
| 15 | On projection methods, convergence and robust formulations in topology optimization Fengwen Wang, Boyan Stefanov Lazarov, Ole Sigmund · Structural and Multidisciplinary Optimization | 23 Dec 2010 | 1,884 |
| 16 | Bat algorithm: a novel approach for global engineering optimization Xin‐She Yang, Amir Hossein Gandomi · Engineering Computations | 13 Jul 2012 | 1,751 |
| 17 | The Elastic Moduli of Fiber-Reinforced Materials Zvi Hashin, B. WALTER ROSEN · Journal of Applied Mechanics | Jun 1964 | 1,740 |
| 18 | Morphology-based black and white filters for topology optimization Ole Sigmund · Structural and Multidisciplinary Optimization | 19 Jan 2007 | 1,735 |
| 19 | Efficient topology optimization in MATLAB using 88 lines of code Erik Andreassen, Anders Clausen, Mattias Schevenels et al. · Structural and Multidisciplinary Optimization | 18 Nov 2010 | 1,631 |
| 20 | Numerical Methods for Nonlinear Variational Problems Roland Glowinski, J. Tinsley Oden · Journal of Applied Mechanics | Sep 1985 | 1,568 |
| 21 | Reduced integration technique in general analysis of plates and shells Olek C. Zienkiewicz, Robert L. Taylor, J. M. Too · International Journal for Numerical Methods in Engineering | Apr 1971 | 1,422 |
| 22 | A survey of structural and multidisciplinary continuum topology optimization: post 2000 Joshua D. Deaton, Ramana V. Grandhi · Structural and Multidisciplinary Optimization | 3 Jul 2013 | 1,412 |
| 23 | Topology optimization of non-linear elastic structures and compliant mechanisms Tyler E. Bruns, Daniel A. Tortorelli · Computer Methods in Applied Mechanics and Engineering | Mar 2001 | 1,394 |
| 24 | On the Design of Compliant Mechanisms Using Topology Optimization* Ole Sigmund · Mechanics of Structures and Machines | 1997 | 1,389 |
| 25 | Achieving minimum length scale in topology optimization using nodal design variables and projection functions James K. Guest, Jean H. Prévost, Ted Belytschko · International Journal for Numerical Methods in Engineering | 15 Jul 2004 | 1,315 |
| 26 | Doing Topology Optimization Explicitly and Geometrically—A New Moving Morphable Components Based Framework Xu Guo, Weisheng Zhang, Wenliang Zhong · Journal of Applied Mechanics | 7 May 2014 | 1,244 |
| 27 | Variational inequalities J. L. Lions, G. Stampacchia · Communications on Pure and Applied Mathematics | Aug 1967 | 1,233 |
| 28 | Topology optimization of fluids in Stokes flow Thomas Borrvall, Joakim H. Petersson · International Journal for Numerical Methods in Fluids | 11 Dec 2002 | 1,228 |
| 29 | Filters in topology optimization Blaise Bourdin · International Journal for Numerical Methods in Engineering | 14 Feb 2001 | 1,226 |
| 30 | One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials C. Liang, C. A. Rogers · Journal of Intelligent Material Systems and Structures | Apr 1990 | 1,216 |
| 31 | Rates of change of eigenvalues and eigenvectors. Richard L. Fox, Mahesh P. Kapoor · AIAA Journal | Dec 1968 | 1,152 |
| 32 | Filters in topology optimization based on Helmholtz‐type differential equations Boyan Stefanov Lazarov, Ole Sigmund · International Journal for Numerical Methods in Engineering | 28 Dec 2010 | 1,148 |
| 33 | A new structural optimization method based on the harmony search algorithm Kang Seok Lee, Zong Woo Geem · Computers & Structures | 14 Mar 2004 | 1,136 |
| 34 | An effective co-evolutionary particle swarm optimization for constrained engineering design problems Qie He, Ling Wang · Engineering Applications of Artificial Intelligence | 22 May 2006 | 1,115 |
| 35 | Multidisciplinary Design Optimization: A Survey of Architectures Joaquim R. R. A. Martins, Andrew B. Lambe · AIAA Journal | 16 Jul 2013 | 1,100 |
| 36 | Topology optimization of continuum structures: A review* Hans A. Eschenauer, Niels Olhoff · Applied Mechanics Reviews | Jul 2001 | 1,096 |
| 37 | A critical review of established methods of structural topology optimization George I. N. Rozvany · Structural and Multidisciplinary Optimization | 20 Feb 2008 | 1,075 |
| 38 | Materials with prescribed constitutive parameters: An inverse homogenization problem Ole Sigmund · International Journal of Solids and Structures | Sep 1994 | 1,068 |
| 39 | Design of materials with extreme thermal expansion using a three-phase topology optimization method Ole Sigmund, S. Torquato · Journal of the Mechanics and Physics of Solids | Jun 1997 | 1,059 |
| 40 | Level-set methods for structural topology optimization: a review Nico P. van Dijk, Kurt K. Maute, Matthijs Langelaar et al. · Structural and Multidisciplinary Optimization | 21 Mar 2013 | 1,008 |
| 41 | The stochastic finite element method: Past, present and future George Stefanou · Computer Methods in Applied Mechanics and Engineering | 21 Nov 2008 | 1,001 |
| 42 | Topology Optimization in Aircraft and Aerospace Structures Design Jihong Zhu, Weihong Zhang, Liang Xia · Archives of Computational Methods in Engineering | 13 Apr 2015 | 979 |
| 43 | An alternative interpolation scheme for minimum compliance topology optimization Mathias Stolpe, Krister Svanberg · Structural and Multidisciplinary Optimization | Sep 2001 | 940 |
| 44 | A homogenization method for shape and topology optimization Katsuyuki Suzuki, Noboru Kikuchi · Computer Methods in Applied Mechanics and Engineering | Dec 1991 | 931 |
| 45 | On the Topological Derivative in Shape Optimization Jan Sokołowski, Antoni Żochowski · SIAM Journal on Control and Optimization | 1999 | 910 |
| 46 | A thermodynamical constitutive model for shape memory materials. Part I. The monolithic shape memory alloy James G. Boyd, Dimitris C. Lagoudas · International Journal of Plasticity | 1996 | 903 |
| 47 | The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space Yair Censor, Aviv Gibali, Simeon Reich · Journal of Optimization Theory and Applications | 14 Oct 2010 | 887 |
| 48 | A review of topology optimization for additive manufacturing: Status and challenges Jihong Zhu, Han Zhou, Chuang Wang et al. · Chinese Journal of Aeronautics | 12 Oct 2020 | 871 |
| 49 | Current and future trends in topology optimization for additive manufacturing Jikai Liu, Andrew T. Gaynor, Shikui Chen et al. · Structural and Multidisciplinary Optimization | 3 May 2018 | 866 |
| 50 | Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method Xiaodong Huang, Yi Min Xie · Finite Elements in Analysis and Design | 21 Sep 2007 | 864 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.