Mathematics Webinar | Computational Modelling of Functionally Graded Materials and Structures
Mathematics Webinar | Computational Modelling of Functionally Graded Materials and Structures
Part of the MDPI Mathematics Webinars series
applied mathematics, functionally graded materials FGMs, finite element methods, free vibration
Welcome from the Chair
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Functionally graded materials (FGMs) represent a class of advanced materials characterized by spatial variations in composition and microstructure, resulting in corresponding changes in their mechanical, thermal, and electrical properties. The mathematical and engineering aspects of FGMs are crucial in the design and analysis of structures that leverage these gradations to optimize performance under various loading and environmental conditions. Mathematically, the modeling of FGMs involves solving complex differential equations that describe the behavior of materials with continuously varying properties. Techniques such as the finite element method are commonly employed to approximate solutions to these equations. These methods require a deep understanding of partial differential equations, numerical integration, and matrix algebra. Additionally, optimization algorithms are often used to tailor the gradation profiles for specific engineering applications. From an engineering perspective, the application of FGMs spans multiple domains including aerospace, biomedical, automotive, and civil engineering. The ability to engineer material properties spatially allows for the design of components that exhibit superior resistance to thermal stresses, improved load-bearing capacity, and enhanced durability. For instance, in aerospace engineering, FGMs can be used in thermal barrier coatings that protect components from extreme temperatures while maintaining structural integrity. This upcoming webinar on the computational modeling of FGMs will delve into these mathematical and engineering aspects, providing insights into the latest research and developments in the field. Experts will discuss advanced modeling techniques, optimization strategies, and practical applications, highlighting how computational tools can drive innovation in material science and structural engineering. This webinar aims to bridge the gap between theoretical research and practical implementation, fostering collaboration and knowledge exchange among professionals and researchers. Date: 22 October 2024 Webinar ID: 839 3142 0125 Webinar Secretariat: journal.webinar@mdpi.com |
Event Chair
Department of Mathematics, Instituto Superior de Engenharia de Lisboa-ISEL, Portugal
José Alberto Rodrigues completed his PhD in Sciences, specializing in Mathematics, at the University of Minho Department of Mathematics and Applications, a Master's degree in Applied Mathematics from the University of Lisbon Instituto Superior Técnico and a Bachelor's degree in Mathematics from the University of Lisbon Faculty of Sciences. He is an Associate Professor at the Polytechnic Institute of Lisbon Instituto Superior de Engenharia de Lisboa. His main areas of interest are mathematical analysis, applied mathematics and scientific computing. He has publications devoted to mathematical modelling and numerical methods, more specifically in Isogeometric Analysis techniques, and didactic books devoted to Calculus and Numerical Analysis for undergraduate students. He is a staff member of the Research Centre on Modelling and Optimization of Multifunctional Systems (CIMOSM, ISEL). He is currently an integrated member of the Center for Research in Mathematics and Applications (CIMA) - https://www.cima.uevora.pt/.
Invited Speakers
Centro de Investigação em Modelação e Otimização de Sistemas Multifuncionais (CIMOSM), ISEL, Instituto Politécnico de Lisboa, Lisboa, Portugal
A Study on the Behavior of Honeycomb Auxetic Structures Using an Equivalent Single-Layer Approach
Maria Amélia Ramos Loja (MAR Loja) holds the Habilitation in Mechatronic Engineering and Energy (Computer Aided Design) from Universidade de Évora. Ph.D. and M.Sc. in Mechanical Engineering by Instituto Superior Técnico, Universidade de Lisboa. She has published 70 papers in scientific journals with peer review, 11 book chapters with peer review, and more than 80 publications/communications at conferences. She has organised or co-organized 12 scientific conferences and is guest editor of 20 special editions of scientific journals. She was PI in 5 projects and integrated other 15 projects as a researcher. Her major research interest topics are analytical and numerical simulation, finite element method, advanced composite materials, active composite materials, metaheuristic optimisation, structural optimisation, reverse engineering, 3D geometry data acquisition and 3D surface reconstruction.
Centro de Investigação em Modelação e Otimização de Sistemas Multifuncionais (CIMOSM), ISEL, Instituto Politécnico de Lisboa, Lisboa, Portugal
Finite Element Modeling of the Thermoelastic Effect on the Dynamics of Functionally Graded Materials
André Rui Dantas Carvalho completed his PhD in Mechanical Engineering in 2011 at the University of Victoria, a Master's degree in Mechanical Engineering in 2007 at the University of Victoria, and a Bachelor's degree in Mechanical Engineering in 2005 at the University of Lisbon Instituto Superior Técnico. He is an Adjunct Professor at the Polytechnic Institute of Lisbon Instituto Superior de Engenharia de Lisboa. He has published work in various fields of mechanical engineering, from finite element analysis of elastic and thermoelastic structures (statical and dynamic) to the study of rotary fatigue life of Nitinol alloys. His research interests are mechanical vibrations, the modeling of dynamic systems, dynamic structural analysis through finite element analysis, neural networks, and robotics.
Centro de Investigação em Modelação e Otimização de Sistemas Multifuncionais (CIMOSM), ISEL, Instituto Politécnico de Lisboa, Lisboa, Portugal
Linear Static and Free Vibration Analyses of Functionally Graded I-Shaped Beams
Inês de Carvalho Jerónimo Barbosa completed her PhD in Mechanical Engineering in 2008 from the University of Lisbon Instituto Superior Técnico, a Master's degree in Mechanical Engineering in 2002 from the University of Lisbon Instituto Superior Técnico and a Bachelor's Degree in Mechanical Engineering in 1999 from the University of Lisbon Instituto Superior Técnico. She is a Collaborating Researcher at the Associated Laboratory for Energy Transports and Aeronautics, Adjunct Professor at the Instituto Politécnico de Lisboa Instituto Superior de Engenharia de Lisboa and Research Member at the Research Center for Modeling and Optimization of Multifunctional Systems. She participated as Investigator in 2 projects and Lead Investigator in 1 project.
Webinar Recording
The webinar on Computational Modelling of Functionally Graded Materials, presented by researchers from CIMOSM-ISEL (Lisbon, Portugal), explored the interplay between mathematics and mechanics in designing materials and structures. It began with a study on hierarchic honeycomb auxetic structures, offering insights into their unique properties and performance. Next, finite element modeling examined the thermoelastic effect on FGM, emphasizing thermal impacts on dynamics. The session concluded with a detailed analysis of the static and vibrational behavior of FGM I-shaped beams. These insights are expected to inspire further research and discussion in mathematics, material science, mechanical and structural engineering.
The webinar was hosted via Zoom and required registration to attend. The full recording can be found below. In order to learn about future webinars, you can sign up to our newsletter by clicking “Subscribe” at the top of the page.
Program
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Speaker |
Time in CEST |
Time in CST (Asia) |
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Dr. José Alberto Rodrigues (Chair) Introduction |
10:30 - 10:40 am |
4:30 - 4:40 pm |
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Dr. Maria Amélia Ramos Loja A Study on the Behaviour of Honeycomb Auxetic Structures Using an Equivalent Single-Layer Approach |
10:40 - 11:05 am |
4:40 - 5:05pm |
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Q&A Session |
11:05 - 11:15 am |
5:05 - 5:15 pm |
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Dr. André Rui Dantas Carvalho Finite Element Modeling of the Thermoelastic Effect on the Dynamics of Functionally Graded Materials |
11:15 - 11:40 am |
5:15 - 5:40pm |
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Q&A Session |
11:40 - 11:50 am |
5:40 - 5:50pm |
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Dr. Inês de Carvalho Jerónimo Barbosa Linear Static and Free Vibration Analyses of Functionally Graded I-Shaped Beams |
11:50 - 12:15 pm |
5:50 - 6:15pm |
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Q&A Session |
12:15 - 12:25 pm |
6:15 - 6:25pm |
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Dr. José Alberto Rodrigues (Chair) Closing of Webinar
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12:25 - 12:35 pm |
6:25 - 6:35pm |
Relevant Special Issue
Numerical and Computational Methods in Structural Engineering and Mechanics
Edited by Prof. Dr. Joaquim Infante Barbosa and Dr. José Alberto Rodrigues
Deadline for submission: 20 December 2024
Sponsors and Partners
Organizers
