Short Communication - (2025) Volume 14, Issue 1
Received: 02-Jan-2025, Manuscript No. jacm-25-171997;
Editor assigned: 06-Jan-2025, Pre QC No. P-171997;
Reviewed: 20-Jan-2025, QC No. Q-171997;
Revised: 23-Jan-2025, Manuscript No. R-171997;
Published:
30-Jan-2025
, DOI: 10.37421/2168-9679.2024.13.609
Citation: Greene, Thomas. ”FEM: Diverse Advancements Across Engineering & Biomedicine.” J Appl Computat Math 14 (2025):609.
Copyright: © 2025 Greene T. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use,
distribution and reproduction in any medium, provided the original author and source are credited.
This article focuses on developing a high-fidelity finite element model of the human knee joint using advanced imaging techniques. The model is optimized for accuracy in biomechanical simulations, making it a valuable tool for understanding knee mechanics, predicting injury risks, and aiding in surgical planning. It highlights the integration of multi-modality medical data to create realistic representations for complex biological structures[1].
This work delves into the finite element analysis of reinforced concrete columns, specifically those under eccentric compression. The authors validate their models by incorporating various constitutive laws for concrete and steel, providing insights into the load-bearing capacity and failure mechanisms of such structural elements. It offers a practical framework for predicting structural behavior under complex loading conditions[2].
This review synthesizes current research on applying finite element modeling to additive manufacturing processes for metal components. It covers various aspects like thermal-mechanical behavior, residual stress prediction, and distortion control, emphasizing how FEM helps optimize process parameters and improve the quality of 3D-printed parts. The article highlights the predictive power of FEM in this rapidly evolving field[3].
This research presents a new finite element method designed to tackle complex coupled heat transfer and fluid flow problems within porous media. The approach offers improved accuracy and stability in simulations, which is crucial for applications in geosciences, chemical engineering, and energy systems. It demonstrates advancements in numerical techniques for multiphysics phenomena[4].
This study uses finite element simulations to model bone remodeling around dental implants, investigating the impact of various loading conditions. Understanding these biomechanical responses is key to optimizing implant design and improving long-term success rates. The research provides valuable insights into the complex interplay between mechanical stress and biological adaptation in osseointegration[5].
This study explores the use of a hybrid finite element-boundary element method for vibro-acoustic analysis, specifically in automotive structures. The approach effectively predicts noise and vibration characteristics, which is vital for designing quieter and more comfortable vehicles. It demonstrates how combining different numerical methods can enhance simulation accuracy for complex acoustic problems[6].
This research utilizes three-dimensional finite element analysis to investigate the bearing capacity of shallow foundations, particularly considering the spatial variability of soil properties. Understanding this variability is critical for reliable foundation design, and the FEM approach provides a detailed assessment of how different soil conditions impact structural support. It offers valuable insights for geotechnical engineers[7].
This paper introduces a new finite element method designed for computing eddy currents, especially in conductors of arbitrary shapes. This advancement is significant for the design and analysis of electrical machines, induction heating systems, and other electromagnetic devices, enabling more accurate predictions of current distribution and energy losses. It pushes the boundaries of electromagnetic field simulation[8].
This study employs finite element analysis to investigate progressive damage and ultimate failure in composite laminates when subjected to dynamic loading conditions. The model helps predict how delamination and matrix cracking evolve, which is crucial for the safe design of composite structures used in aerospace and automotive industries. It provides a detailed understanding of material behavior under extreme stress[9].
This paper explores topology optimization for compliant mechanisms, integrating manufacturing constraints within a finite element framework. This approach allows for the design of intricate, optimized structures that are actually fabricable, bridging the gap between theoretical optimization and practical engineering. It showcases the versatility of FEM in advanced design and manufacturing challenges[10].
Recent biomechanical simulations developed a high-fidelity finite element model of the human knee joint using advanced imaging techniques. This model is optimized for accuracy, proving to be a valuable tool for understanding knee mechanics, predicting injury risks, and aiding in surgical planning. It effectively integrates multi-modality medical data to create realistic representations for complex biological structures[1]. Further, finite element simulations also model bone remodeling around dental implants, investigating the impact of various loading conditions. Understanding these biomechanical responses is key to optimizing implant design and improving long-term success rates, offering valuable insights into the complex interplay between mechanical stress and biological adaptation in osseointegration[5].
In structural engineering, finite element analysis delves into reinforced concrete columns under eccentric compression. The models are validated by incorporating various constitutive laws for concrete and steel, providing insights into load-bearing capacity and failure mechanisms of such structural elements. This offers a practical framework for predicting structural behavior under complex loading conditions[2]. Similarly, three-dimensional finite element analysis is utilized to investigate the bearing capacity of shallow foundations, particularly considering the spatial variability of soil properties. Understanding this variability is critical for reliable foundation design, and the FEM approach provides a detailed assessment of how different soil conditions impact structural support, offering valuable insights for geotechnical engineers[7].
A review synthesizes current research on applying finite element modeling to additive manufacturing processes for metal components. It covers thermal-mechanical behavior, residual stress prediction, and distortion control, emphasizing how FEM helps optimize process parameters and improve the quality of 3D-printed parts, highlighting the predictive power of FEM in this rapidly evolving field[3]. Expanding on design, topology optimization for compliant mechanisms integrates manufacturing constraints within a finite element framework. This approach allows for the design of intricate, optimized structures that are actually fabricable, bridging the gap between theoretical optimization and practical engineering and showcasing the versatility of FEM in advanced design and manufacturing challenges[10].
New finite element methods are emerging, like one designed to tackle complex coupled heat transfer and fluid flow problems within porous media. This approach offers improved accuracy and stability in simulations, crucial for applications in geosciences, chemical engineering, and energy systems, demonstrating advancements in numerical techniques for multiphysics phenomena[4]. Another paper introduces a novel finite element method for computing eddy currents, especially in conductors of arbitrary shapes. This advancement is significant for the design and analysis of electrical machines, induction heating systems, and other electromagnetic devices, enabling more accurate predictions of current distribution and energy losses, pushing the boundaries of electromagnetic field simulation[8].
Finite element analysis is also employed to investigate progressive damage and ultimate failure in composite laminates under dynamic loading conditions. The model helps predict how delamination and matrix cracking evolve, crucial for the safe design of composite structures used in aerospace and automotive industries, providing a detailed understanding of material behavior under extreme stress[9]. Furthermore, a hybrid finite element-boundary element method is used for vibro-acoustic analysis in automotive structures. This approach effectively predicts noise and vibration characteristics, vital for designing quieter and more comfortable vehicles, demonstrating how combining different numerical methods can enhance simulation accuracy for complex acoustic problems[6].
Recent advancements in Finite Element Method (FEM) showcase its diverse applications across engineering and biomedical fields. Researchers developed a high-fidelity FEM model of the human knee joint for biomechanical simulations, predicting injury risks and aiding surgical planning using multi-modality medical data. Structural engineers applied FEM to analyze reinforced concrete columns under eccentric compression, validating models with constitutive laws to understand load-bearing capacity and failure mechanisms. In manufacturing, FEM helps optimize additive manufacturing processes for metal components, predicting thermal-mechanical behavior and controlling distortion for improved 3D-printed part quality. The method also saw innovations in addressing complex coupled heat transfer and fluid flow problems in porous media, offering improved accuracy for geosciences and energy systems. Biomechanics benefits from FEM simulations of bone remodeling around dental implants, crucial for optimizing implant design and ensuring long-term success by understanding mechanical stress and biological adaptation. Automotive engineering utilizes a hybrid FEM-boundary element method for vibro-acoustic analysis, predicting noise and vibration in vehicle structures to design quieter cars. Geotechnical engineers employ 3D FEM to investigate the bearing capacity of shallow foundations, accounting for spatial variability in soil properties for reliable design. For electromagnetics, a novel FEM was introduced for eddy current computation in arbitrary shape conductors, enhancing the design and analysis of electrical machines. Finally, FEM facilitates topology optimization of compliant mechanisms, integrating manufacturing constraints to bridge theoretical design with practical fabrication, demonstrating its versatility in advanced engineering challenges.
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Journal of Applied & Computational Mathematics received 1282 citations as per Google Scholar report