A study on the inverse design of functionally graded curved components with finite element software scripting

Authors

DOI:

https://doi.org/10.32972/dms.2025.011

Keywords:

FGM, FEM, thermomechanics, scripting

Abstract

Inverse design is an important computational method that determines the optimal material distribution or geometry, particularly in functionally graded materials, to achieve predefined performance targets by tailoring spatially varying properties usually by applying optimisation techniques and other artificial intelligence methods. The purpose of this paper is to study the calculation of basic field variables for curved components (such as curved plates, cylinders) made from functionally graded materials and its implementation into the design process using the scripting environment of a finite element software system. Thermomechanical problems are considered, where the bodies are subjected to combined thermomechanical loading. We examine the characteristics of design optimisation through a simpler, one-dimensional example and explore a few possibilities to facilitate the design process.

References

Alavi, N., Nejad, M., Hadi, A., & Nikeghbalyan, A. (2024). Exact thermoelastoplastic analysis of FGM rotating hollow disks in a linear elastic-fully plastic condition. Steel and Composite Structures, 51(4), 377-389. doi:https://doi.org/10.12989/scs.2024.51.4.377

Callioglu, H., & Muftu, S. (2025). Damped Vibration Responses of Functionally Graded Rotating Discs with Variable Geometry and Modeling with Deep Neural Networks. Journal of Vibration Engineering & Technologies, 13(5), 331. doi:https://doi.org/10.1007/s42417-025-01900-y

Ecsedi, I., Baksa, A., & Habbachi, M. (2023). Bending of curved beam with rectangular cross section made of double modulus functionally gradient material. GÉP, 74(4), 65-68.

Gönczi, D. (2019). Analysis of a curved bimetallic beam. Journal of Computational and Applied Mechanics, 14(1-2), 41-51. doi:https://doi.org/10.32973/jcam.2019.003

Gönczi, D. (2024). Thermoelastic analysis of functionally graded anisotropic rotating disks and radially graded spherical pressure vessels. Journal of Computational and Applied Mechanics, 19(2), 85-104. doi:https://doi.org/10.32973/jcam.2024.004

Gönczi, D. (2024). Thermomechanical analysis of functionally graded components using Abaqus. Multidiszciplináris Tudományok, 14(4), 116-124. doi:https://doi.org/10.35925/j.multi.2024.4.10

Katoch, S., Chauhan, S., & Kumar, V. (2021). A review on genetic algorithm: past, present, and future. Multimedia Tools and Applications, 80(5), 8091-8126. doi:https://doi.org/10.1007/s11042-020-10139-6

Khatir, S., Tiachacht, S., Le Thanh, C., Ghandourah, E., Mirjalili, S., & Abdel Wahab, M. (2021). An improved Artificial Neural Network using Arithmetic Optimization Algorithm for damage assessment in FGM composite plates. Composite Structures, 273, 114287. doi:https://doi.org/10.1016/j.compstruct.2021.114287

Kiss, L. (2020). Nonlinear stability analysis of FGM shallow arches under an arbitrary concentrated radial force. International Journal of Mechanics and Materials in Design, 16(1), 91-108. doi:https://doi.org/10.1007/s10999-019-09460-2

Kiss, L. (2024). Stability of arches with internal hinge. Mathematics and Mechanics of Solids, 29(10), 1947-1957. doi:https://doi.org/10.1177/10812865241245338

Mourad, C., Rebai, B., Mansouri, K., Khadraoui, F., Berkia, A., & Messas, T. (2024). Investigating the Influence of Material Composition on Bending Analysis of Functionally Graded Beams Using a 2D Refined Theory. Journal of Computational Applied Mechanics, 55(1), 62-76. doi:https://doi.org/10.22059/jcamech.2024.368866.909

Nayak, P., Bhowmick, S., & Saha, K. (2020). Elasto-plastic analysis of thermo-mechanically loaded functionally graded disks by an iterative variational method. Engineering Science and Technology, an International Journal, 23(1), 42-64. doi:https://doi.org/10.1016/j.jestch.2019.04.007

Rahman, S., & Ali, M. (2023). A novel approach to optimize material distributions of rotating functionally graded circular disk under minimum and prescribed stresses. Materials Today Communications, 36, 106620. doi:https://doi.org/10.1016/j.mtcomm.2023.106620

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Published

2025-11-30

How to Cite

Gönczi, D. (2025). A study on the inverse design of functionally graded curved components with finite element software scripting. Design of Machines and Structures, 15(2), 31–42. https://doi.org/10.32972/dms.2025.011