Vatanabe, Sandro Luis, Emílio Silva, and Glaucio H Paulino. 2010. “Chapter 8: ‘Functionally Graded Piezoelectric Material Systems – A Multiphysics Perspective’”. In Advanced Computational Materials Modeling: From Classical to Multi-Scale Techniques.

Paulino, Glaucio H, Emílio Silva, and Chau H Le. 2009. “Optimal Design of Periodic Functionally Graded Composites With Prescribed Properties”. Structural and Multidisciplinary Optimization 38. Springer: 469–489.

de Almeida, Sylvia Regina Mesquita, Glaucio H Paulino, and Emílio Silva. 2010. “Layout and Material Gradation in Topology Optimization of Functionally Graded Structures: A Global–local Approach”. Structural and Multidisciplinary Optimization 42. Springer: 855–868.

Carbonari, Ronny Calixto, Emílio Silva, and Glaucio H Paulino. 2009. “Multi-Actuated Functionally Graded Piezoelectric Micro-Tools Design: A Multiphysics Topology Optimization Approach”. International Journal for Numerical Methods in Engineering 77. Wiley Online Library: 301–336.

Paulino, Glaucio H, and Emílio Silva. 2005. “Design of Functionally Graded Structures Using Topology Optimization”. In , 492:435–440.

Vatanabe, Sandro Luis, Glaucio H Paulino, and Emílio Silva. 2014. “Maximizing Phononic Band Gaps in Piezocomposite Materials by Means of Topology Optimization”. The Journal of the Acoustical Society of America 136. AIP Publishing: 494–501.

Silva, Emílio, and Glaucio H Paulino. 2004. “Topology Optimization Applied to the Design of Functionally Graded Material (FGM) Structures”. In , 15–21.

Paulino, Glaucio H, and Emílio Silva. 2016. “Multiscale, Multifunctional and Functionally Graded Materials (MM&FGM) Editorial”. Mechanics Research Communications 78. Elsevier Limited: 1.

Mello, Luís Augusto, Emílio Silva, Eric De Sturler, and Glaucio H Paulino. 2008. “Topology Optimization Method Utilizing Iterative Solvers With Subspace Recycling Applied to High-Resolution Electrical Impedance Tomography”. In .

Vatanabe, Sandro Luis, Tiago N Lippi, Cícero R de Lima, Glaucio H Paulino, and Emílio Silva. 2016. “Topology Optimization With Manufacturing Constraints: A Unified Projection-Based Approach”. Advances in Engineering Software 100. Elsevier: 97–112.

Carbonari, Ronny Calixto, Emílio Silva, and Glaucio H Paulino. 2006. “Multi-Actuated Functionally Graded Piezoelectric Micro-Tools Design Using Topology Optimization”. In , 6166:616609–1.

Carbonari, Ronny Calixto, Emílio Silva, and Glaucio H Paulino. 2008. “Topology Optimization Applied to the Design of Functionally Graded Piezoelectric Bimorph”. In , 973:291–296.

Mello, Luís Augusto, Eric De Sturler, Glaucio H Paulino, and Emílio Silva. 2010. “Recycling Krylov Subspaces for Efficient Large-Scale Electrical Impedance Tomography”. Computer Methods in Applied Mechanics and Engineering 199. Elsevier: 3101–3110.

Vatanabe, Sandro Luis, Glaucio H Paulino, and Emílio Silva. 2010. “Design of Functionally Graded Piezocomposite Materials Using Topology Optimization”. In , 9274.

Carbonari, Ronny Calixto, PA Munoz-Rojas, EQ Andrade, Glaucio H Paulino, Kazuo Nishimoto, and Emílio Silva. 2011. “Design of Pressure Vessels Using Shape Optimization: An Integrated Approach”. International Journal of Pressure Vessels and Piping 88. Elsevier: 198–212.

Rubio, Wilfredo M, Emílio Silva, and Glaucio H Paulino. 2009. “Toward Optimal Design of Piezoelectric Transducers Based on Multifunctional and Smoothly Graded Hybrid Material Systems”. Journal of Intelligent Material Systems and Structures 20. Sage Publications Sage UK: London, England: 1725–1746.

Rubio, Wilfredo M, Emílio Silva, and Glaucio H Paulino. 2008. “Maximizing the Excitation Strength at Specific Resonance Frequencies of Functionally Graded Piezoelectric Transducers”. In .

Carbonari, Ronny Calixto, Glaucio H Paulino, and Emílio Silva. 2010. “Integral Piezoactuator System With Optimum Placement of Functionally Graded Material—a Topology Optimization Paradigm”. Journal of Intelligent Material Systems and Structures 21. Sage Publications Sage UK: London, England: 1653–1668.

Stump, Fernando, V, Glaucio H Paulino, and Emílio Silva. 2005. “Material Distribution Design of Functionally Graded Rotating Disks With Stress Constraint”. In .

Silva, Emílio, Ronny Calixto Carbonari, and Glaucio H Paulino. 2007. “On Graded Elements for Multiphysics Applications”. Smart Materials and Structures 16. IOP Publishing: 2408.

Silva, Emílio, Matthew C Walters, and Glaucio H Paulino. 2008. “Modeling Bamboo As a Functionally Graded Material”. In , 973:754–759.

de Almeida, Sylvia Regina Mesquita, Glaucio H Paulino, and Emílio Silva. 2009. “A Simple and Effective Inverse Projection Scheme for Void Distribution Control in Topology Optimization”. Structural and Multidisciplinary Optimization 39. Springer: 359–371.

Paulino, Glaucio H, , and Emílio Silva. 2005. “A Java-Based Topology Optimization Program With Web Access: Nodal Design Variable Approach”. In , 1471:135–135.

Rubio, Wilfredo M, Glaucio H Paulino, and Emílio Silva. 2011. “Tailoring Vibration Mode Shapes Using Topology Optimization and Functionally Gradedmaterial Concepts”. Smart Materials and Structures 20. IOP Publishing: 025009.

Rubio, Wilfredo M, Sandro Luis Vatanabe, Glaucio H Paulino, and Emílio Silva. 2011. “Functionally Graded Piezoelectric Material Systems-a Multiphysics Perspective”. Computational Chemistry of Solid State Materials. Wiley Online Library.

Stump, Fernando, V, Emílio Silva, and Glaucio H Paulino. 2008. “Topology Optimization With Stress Constraints: Reduction of Stress Concentration in Functionally Graded Structures”. In , 973:303–308.

Stump, Fernando, V, Emílio Silva, and Glaucio H Paulino. 2007. “Optimization of Material Distribution in Functionally Graded Structures With Stress Constraints”. Communications in Numerical Methods in Engineering 23. Wiley Online Library: 535–551.

Rubio, Wilfredo M, Emílio Silva, and Glaucio H Paulino. 2010. “Topology Optimized Design of Functionally Graded Piezoelectric Resonators With Specified Resonance Frequencies”. In , 631:305–310.

Vatanabe, Sandro Luis, Glaucio H Paulino, and Emílio Silva. 2012. “Influence of Pattern Gradation on the Design of Piezocomposite Energy Harvesting Devices Using Topology Optimization”. Composites Part B: Engineering 43. Elsevier: 2646–2654.

Rubio, Wilfredo M, Glaucio H Paulino, and Emílio Silva. 2012. “Analysis, Manufacture and Characterization of Ni Cu Functionally Graded Structures”. Materials & Design 41. Elsevier: 255–265.

Vatanabe, Sandro Luis, Glaucio H Paulino, and Emílio Silva. 2013. “Design of Functionally Graded Piezocomposites Using Topology Optimization and Homogenization–Toward Effective Energy Harvesting Materials”. Computer Methods in Applied Mechanics and Engineering 266. Elsevier: 205–218.

Carbonari, Ronny Calixto, Emílio Silva, and Glaucio H Paulino. 2007. “Topology Optimization Design of Functionally Graded Bimorph-Type Piezoelectricactuators”. Smart Materials and Structures 16. IOP Publishing: 2605.

Carbonari, Ronny Calixto, Shinji Nishiwaki, Glaucio H Paulino, and Emílio Silva. 2007. “Piezoactuator Design Considering the Optimum Placement of FGM Piezoelectric Material”. In , 6523:129–140.

Silva, Emílio, Matthew C Walters, and Glaucio H Paulino. 2006. “Modeling Bamboo As a Functionally Graded Material: Lessons for the Analysis of Affordable Materials”. Journal of Materials Science 41. Springer: 6991–7004.

Carbonari, Ronny Calixto, Emílio Silva, and Glaucio H Paulino. 2006. “Design of Functionally Graded Piezoelectric Actuators Using Topology Optimization”. In , 6166:72–82.