Three-dimensional finite element modeling of the shoe sole to investigate the impact of various geometries on foot heel stresses and energy absorption

Sobhan Honarvar, A. Nourani, A. Yarandi, Fatemeh Farrahi Ghehi
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Abstract

The force applied to the foot is noticeable, and the foot is subjected to the limits of repetitive, prolonged muscular loading on a bone in some activities like sports that are not as heavily loaded in typical activities such as walking. Thus, it is mandatory that optimal footwear be designed with the lowest stress acting on the foot and maximum energy absorbed by the soles. In this study, the effects of some geometric features on the energy absorption of shoe soles were investigated using a finite element model (FEM). Auxetic structures showed some beneficial properties, including improved energy absorption. In addition, different types of holes in the midsoles of shoes were considered to reduce their weight. Therefore, this study investigated the effect of geometry by comparing auxetic shoes with re-entrant structures, shoes with weight-reducing holes with the same geometry as auxetic shoes, auxetic shoes with an auxetic structure similar to Nike RN 2017 shoes in the outsole, and shoes without auxetic structures and weight-reducing holes. A 3D finite element modeling was used to evaluate the effect of geometry on stress, displacement, and energy absorption. It was found that the strain energy of soles with re-entrant auxetic structures and with an auxetic structure in the outsole was 153 and 7% higher, respectively than that of plain soles. Similarly, adding weight-reducing holes increased the strain energy of the sole by almost 157%.
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对鞋底进行三维有限元建模,研究不同几何形状对足跟应力和能量吸收的影响
施加在脚上的力是明显的,在一些活动中,如运动,脚受到重复的限制,长时间的肌肉负荷在骨头上,而在典型的活动中,如散步,负荷不那么大。因此,它是强制性的,最佳的鞋类设计与最低的压力作用在脚和最大的能量吸收的鞋底。本文采用有限元模型研究了不同几何特征对鞋底吸能的影响。补充结构显示出一些有益的性能,包括改善能量吸收。此外,鞋子中底的不同类型的孔被认为可以减轻他们的体重。因此,本研究通过对比具有可入式结构的减肥鞋、具有与减肥鞋相同几何形状的减肥鞋、大底具有类似Nike RN 2017减肥鞋结构的减肥鞋以及没有减肥鞋结构和减肥孔的减肥鞋,来研究几何形状对减肥鞋的影响。采用三维有限元模型来评估几何形状对应力、位移和能量吸收的影响。结果表明,具有回入式减震结构和外底有减震结构的鞋底应变能分别比普通鞋底高153和7%。同样地,增加减轻重量的孔使鞋底的应变能增加了近157%。
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