| Robust numerical calculation of tangent moduli at finite strains based on complex-step derivative approximation and its application to localization analysis M Tanaka, M Fujikawa, D Balzani, J Schröder Computer Methods in Applied Mechanics and Engineering 269, 454-470, 2014 | 72 | 2014 |
| A highly accurate 1st-and 2nd-order differentiation scheme for hyperelastic material models based on hyper-dual numbers M Tanaka, T Sasagawa, R Omote, M Fujikawa, D Balzani, J Schröder Computer Methods in Applied Mechanics and Engineering 283, 22-45, 2015 | 49 | 2015 |
| Single-vat single-cure grayscale digital light processing 3D printing of materials with large property difference and high stretchability L Yue, S Macrae Montgomery, X Sun, L Yu, Y Song, T Nomura, M Tanaka, ... Nature communications 14 (1), 1251, 2023 | 33 | 2023 |
| Implementation of incremental variational formulations based on the numerical calculation of derivatives using hyper dual numbers M Tanaka, D Balzani, J Schröder Computer Methods in Applied Mechanics and Engineering 301, 216-241, 2016 | 27 | 2016 |
| Numerical calculation of thermo-mechanical problems at large strains based on complex step derivative approximation of tangent stiffness matrices D Balzani, A Gandhi, M Tanaka, J Schröder Computational Mechanics 55, 861-871, 2015 | 22 | 2015 |
| Turing pattern–based design and fabrication of inflatable shape-morphing structures M Tanaka, SM Montgomery, L Yue, Y Wei, Y Song, T Nomura, HJ Qi Science Advances 9 (6), eade4381, 2023 | 18 | 2023 |
| Analysis of clothing pressure on the human body T Kobayashi, S Oi, M Sato, M Tanaka, Y Isogai, K Furuich, S Ishimaru, ... SIMULIA customer conference 5, 1-15, 2011 | 16 | 2011 |
| Cold-programmed shape-morphing structures based on grayscale digital light processing 4D printing L Yue, X Sun, L Yu, M Li, SM Montgomery, Y Song, T Nomura, M Tanaka, ... Nature Communications 14 (1), 5519, 2023 | 15 | 2023 |
| Computational two-mode asymptotic bifurcation theory combined with hyper dual numbers and applied to plate/shell buckling F Fujii, M Tanaka, T Sasagawa, R Omote Computer Methods in Applied Mechanics and Engineering 325, 666-688, 2017 | 15 | 2017 |
| Complex step derivative approximation of consistent tangent operators for viscoelasticity based on fractional calculus A Hürkamp, M Tanaka, M Kaliske Computational Mechanics 56, 1055-1071, 2015 | 15 | 2015 |
| Development of large strain shell elements for woven fabrics with application to clothing pressure distribution problem M Tanaka, H Noguchi, M Fujikawa, M Sato, S Oi, T Kobayashi, K Furuichi, ... Computer Modeling in Engineering & Sciences(CMES) 62 (3), 265-290, 2010 | 13 | 2010 |
| Form finding analysis of tensegrity membrane structures based on variational method M Shigematsu, M Tanaka, H Noguchi Proceedings of IASS-IACM, 2008 | 13 | 2008 |
| Structural shape optimization of hyperelastic material by discrete force method M Tanaka, H Noguchi Theoretical and Applied Mechanics Japan 53, 83-91, 2004 | 9 | 2004 |
| Construction of statistically similar representative volume elements for discontinuous fiber composites T Sasagawa, M Tanaka, R Omote, D Balzani Composite Structures 203, 193-203, 2018 | 7 | 2018 |
| ひずみの主不変量を用いた Ogden 材料モデルの実装と数値解の収束性の評価 田中真人， 野口裕久 日本計算工学会論文集 2007, 20070008-20070008, 2007 | 7 | 2007 |
| Geometrically nonlinear finite element implementation based on highly accurate 1st and 2nd numerical derivative scheme using hyper-dual numbers M Fujikawa, K Ishikawa, C Makabe, M Tanaka, T Sasagawa, R Omote Transactions of the JSME (in Japanese) 82 (834), 2016 | 6 | 2016 |
| Validating a 2-mode asymptotic expansion in computational bifurcation theory (Before introducing HDN for differential operation) F Fujii, K Ikeda, M Tanaka, M Fujikawa Transactions of the JSME (in Japanese) 81 (830), 2015 | 6 | 2015 |
| Numerical calculation of thermo-mechanical problems at large strains based on a robust approximation scheme for tangent stiffness matrices D Balzani, A Gandhi, M Tanaka, J Schröder Computational Mechanics 55 (5), 861-871, 2015 | 6 | 2015 |
| Numerical approximation of consistent tangent moduli using complex-step derivative and its application to finite deformation problems M Tanaka, M Fujikawa Trans. Jpn. Soc. Mech. Eng., Ser. A 77 (773), 27-38, 2011 | 6 | 2011 |
| Versatile benchmark model reproducing snap-through, asymmetric, symmetric unstable/stable, and multiple bifurcation including hill-top branching in structural instability M Tanaka, K Ikeda, F Fujii Computer Methods in Applied Mechanics and Engineering 403, 115719, 2023 | 5 | 2023 |
Jörg SchröderProfessor für Mechanik, Universität Duisburg-EssenVerified email at uni-due.de
