Mechanical Model and FEM Simulations for Efforts on Biceps and Triceps Muscles under Vertical Load: Mathematical Formulation of Results

Emilio Lechosa Urquijo, Fernando Blaya Haro, Juan David Cano-Moreno, Roberto D’Amato and Juan Antonio Juanes Méndez
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Emilio Lechosa Urquijo: Facultad de Medicina, Departamento Anatomía Humana, Universidad de Salamanca, 37007 Salamanca, Spain
Fernando Blaya Haro: Escuela Técnica Superior de Ingeniería y Diseño Industrial (ETSIDI), Departamento de Ingeniería Mecánica, Química y Diseño Industrial, Universidad Politécnica de Madrid (UPM), Ronda de Valencia 3, 28012 Madrid, Spain
Juan David Cano-Moreno: Escuela Técnica Superior de Ingeniería y Diseño Industrial (ETSIDI), Departamento de Ingeniería Mecánica, Química y Diseño Industrial, Universidad Politécnica de Madrid (UPM), Ronda de Valencia 3, 28012 Madrid, Spain
Roberto D’Amato: Escuela Técnica Superior de Ingeniería y Diseño Industrial (ETSIDI), Departamento de Ingeniería Mecánica, Química y Diseño Industrial, Universidad Politécnica de Madrid (UPM), Ronda de Valencia 3, 28012 Madrid, Spain
Juan Antonio Juanes Méndez: Facultad de Medicina, Departamento Anatomía Humana, Universidad de Salamanca, 37007 Salamanca, Spain

Mathematics, 2022, vol. 10, issue 14, 1-34

Abstract: Although isometric contractions in human muscles have been analyzed several times, there are no FEA models that allow us to use the same modeled joint (the elbow under our case) in different conditions. Most elbow joints use 3D elements for meshing. Representing the muscles in the joint is quite useful when the study is focused on the muscle itself, knowing stress distribution on muscle, and checking damage in muscle in a detailed manner (tendon–muscle insertion, for example). However, this technique is not useful for studying muscle behavior at different positions of the joint. This study, based on the mechanical model of the elbow joint, proposes a methodology for modelling muscles that will be studied in different positions by meshing them with 1D elements. Furthermore, the methodology allows us to calculate biceps and triceps efforts under load for different angles of elbow joint aperture. The simulation results have been mathematically modelled to obtain general formulations for these efforts, depending on the load and the aperture angle.

Keywords: FEM analysis; biomechanics; effort mathematical models; NMR reconstruction; reverse engineering; elbow joint (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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