Effect of magnetic field on poroelastic bone model for internal remodeling |
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Authors: | A. M. Abd-Alla S. M. Abo-Dahab |
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Affiliation: | 1. Department of Mathematics, Faculty of Sciences, Taif University, Taif 888, Saudi Arabia;2. Department of Mathematics, Faculty of Science, Sohag University, Nasser 82524, Sohag, Egypt;3. Department of Mathematics, Faculty of Science, South Valley University, Qen 83523, Egypt |
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Abstract: | This paper studies the effects of the magnetic field and the porosity on a poroelastic bone model for internal remodeling. The solution of the internal bone remodeling process induced by a magnetic field is presented. The bone is treated as a poroelastic material by Biot’s formulation. Based on the theory of small strain adaptive elasticity, a theoretical approach for the internal remodeling is proposed. The components of the stresses, the displacements, and the rate of internal remodeling are obtained in analytical forms, and the numerical results are represented graphically. The results indicate that the effects of the magnetic field and the porosity on the rate of internal remodeling in bone are very pronounced. |
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Keywords: | minimax inequality alternative theorem G-convex space strict KKM property fixed point theorem maximal element wave propagation poroelastic wet bone internal remodeling magnetic field |
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