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1. Full Text Minimum length scale in topology optimization by geometric constraints
by Zhou, Mingdong and Lazarov, Boyan S and Wang, Fengwen and Sigmund, Ole
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 08/2015, Volume 293, pp. 266 - 282
Topology optimization | Minimum length scale | Geometric constraint | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mechanics | Mathematics | Science & Technology | Mechanical engineering | Analysis
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2. Full Text Topology and Geometric Group Theory
: Ohio State University, Columbus, USA, 2010-2011
by Davis, Michael W and Fowler, James and Lafont, Jean-François and Leary, Ian J
2016, Springer Proceedings in Mathematics & Statistics, ISBN 9783319436739, Volume 184, 179
Group theory
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3. Full Text Extruded-geometric-component-based 3D topology optimization
by Hoang, Van-Nam and Nguyen-Xuan, H
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 11/2020, Volume 371, p. 113293
Extruded geometric components | Moving morphable components | Explicit topology optimization | Adaptive mapping | 3D topology optimization | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mechanics | Mathematics | Science & Technology | Mechanical engineering | Analysis | Topology optimization | Interpolation | Extrusion | Mapping | Rounding | Isotropic material
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4. Braid foliations in low-dimensional topology
by LaFountain, Douglas J., 1978- author and Menasco, William W., 1954- author
2017, Graduate studies in mathematics, ISBN 9781470436605, Volume 185, xi, 289 pages
Braid theory | Foliations (Mathematics) | Topology
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5. The geometry and topology of coxeter groups
by Davis, Michael, 1949 April 26
2008, London Mathematical Society monographs series, ISBN 9780691131382, Volume new series, no. 32., xiv, 584
Geometric group theory | Coxeter groups | Group Theory | Geometry | PBG | General | Mathematics | PBM | Topology | PBP
Book
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6. Full Text Stress-based topology optimization with discrete geometric components
by Zhang, Shanglong and Gain, Arun L and Norato, Julián A
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 10/2017, Volume 325, pp. 1 - 21
Geometry projection | Bar structures | Topology optimization | Design for manufacturing | Plate structures | Stress constraints | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mechanics | Mathematics | Science & Technology | Mechanical engineering | Analysis | Studies | Finite element method | Stresses | Stress state | Optimization algorithms | Topology | Discrete element method | Meshing | Bars
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7. Full Text Adaptive mesh refinement for topology optimization with discrete geometric components
by Zhang, Shanglong and Gain, Arun L and Norato, Julián A
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 06/2020, Volume 364, p. 112930
Geometry projection | Topology optimization | Adaptive mesh refinement | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mechanics | Mathematics | Science & Technology | Geometry | Grid refinement (mathematics) | Forecasting | Plates | Optimization | Design optimization
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8. Geometric topology
: localization, periodicity and Galois symmetry : the 1970 MIT notes
by Sullivan, Dennis 1941- (Dennis Parnell) and Ranicki, Andrew, 1948
2005, K-Monographs in mathematics, ISBN 9781402035111, Volume 8, xiii, 283
Geometry | Topology
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9. Full Text Reliability‐based topology optimization against geometric imperfections with random threshold model
by Kang, Zhan and Liu, Peishuo
International journal for numerical methods in engineering, ISSN 0029-5981, 07/2018, Volume 115, Issue 1, pp. 99 - 116
geometric uncertainty | polynomial chaos expansion | topology optimization | random threshold model | random field | reliability | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mathematics | Science & Technology | Monte Carlo method | Analysis | Models | Sensitivity analysis | Computer simulation | Topology optimization | Mathematical models | Random variables | Reliability | Defects
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10. Full Text Topology optimization with geometric uncertainties by perturbation techniques
by  Lazarov, B. S and Schevenels, M and Sigmund, O
International journal for numerical methods in engineering, ISSN 0029-5981, 06/2012, Volume 90, Issue 11, pp. 1321 - 1336
robust design | topology optimization | manufacturing errors | geometric uncertainties | Topology optimization | Geometric uncertainties | Manufacturing errors | Robust design | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mathematics | Science & Technology | Solid mechanics | Fundamental areas of phenomenology (including applications) | Structural and continuum mechanics | Physics | Static elasticity (thermoelasticity...) | Exact sciences and technology
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11. Full Text Stress-based topology optimization of frame structures under geometric uncertainty
by Changizi, Navid and Kaboodanian, Hamid and Jalalpour, Mehdi
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 03/2017, Volume 315, pp. 121 - 140
Topology optimization | Uncertainty quantification | Geometric uncertainties | Frame structures | Von Mises stress | Stochastic perturbation method | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mechanics | Mathematics | Science & Technology | Monte Carlo method | Algorithms | Mathematical optimization | Analysis | Stresses | Uncertainty | Sensitivity analysis | Methodology | Computer simulation | Probability theory | Probabilistic methods | Stems | Design optimization | Robust control | Robustness (mathematics) | Perturbation methods | Randomness | Stiffness | Monte Carlo simulation
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12. Full Text Geometric constraints for shape and topology optimization in architectural design
by Dapogny, Charles and Faure, Alexis and Michailidis, Georgios and Allaire, Grégoire and Couvelas, Agnes and Estevez, Rafael
Computational mechanics, ISSN 0178-7675, 06/2017, Volume 59, Issue 6, pp. 933 - 965
Architecture | Optimum shape | Numerical methods | Optimization | Mathematics, Interdisciplinary Applications | Mechanics | Physical Sciences | Mathematics | Technology | Science & Technology | Anisotropy | Analysis | Architectural design | Topology optimization | Mathematical models | Sensitivity analysis | Geometric constraints | Design optimization | Optimization and Control
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13. Full Text Multi-scale topology optimization of multi-material structures with controllable geometric complexity — Applications to heat transfer problems
by Pizzolato, Alberto and Sharma, Ashesh and Maute, Kurt and Sciacovelli, Adriano and Verda, Vittorio and National Renewable Energy Lab. (NREL), Golden, CO (United States)
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 12/2019, Volume 357, Issue C, p. 112552
Topology optimization | Level-set | Geometric primitives | Manufacturing | Multi-scale | Multi-material | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mechanics | Mathematics | Science & Technology | Stability | Phase transitions | Optimization | Complexity | Design optimization | Algorithms | Layouts | Storage units | Nonlinear programming | Thermal storage | Heat sinks | Heat transfer | Material properties | multi-scale | multi-material | geometric primitives | manufacturing | topology optimization | ENGINEERING | level-set
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