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足部的有限元分析:应力与位移屏蔽

Finite element analysis of the foot: Stress and displacement shielding.

作者信息

Filardi V

机构信息

C.A.R.E.C.I., University of Messina, Via Consolato del mare, 41, 98121, Messina, Italy.

出版信息

J Orthop. 2018 Sep 6;15(4):974-979. doi: 10.1016/j.jor.2018.08.037. eCollection 2018 Dec.

Abstract

The foot is at the base of the antigravity control system (postural or equilibrium system) that allows the man to assume the upright posture and to move in the space. This podalic cohesion is achieved by the capsulo-ligamentous and aponeurotic formations to which are added the muscular formations with functions of "active ligaments" and postural. A three-dimensional (3D) finite element model of human foot was developed using the real foot skeleton and soft tissue geometry, obtained from the 3D reconstruction of MR images. The plantar fascia and the other main ligaments were simulated using truss elements connected with the bony surfaces. Bony parts and ligaments were encapsulated into a skin of soft tissues, imposing a linear elastic behavior of material in the first case and the hyperelastic law in the second. The model was tested by applying a load of 350 N on the top of the talus and the reaction force applied on the Achilles tendon equal to 175 N acting, and putting it in contact with a rigid wall. The results evidence that the most stressed areas, localized around the calcaneus following a trajectory that includes the cuboid and spreading into metatarsals and first phalanges. The foot is a "spatial" structure perfectly designed to absorb and displace the forces, brought back to the infinite planes of the space.

摘要

足部位于反重力控制系统(姿势或平衡系统)的基础部位,该系统使人能够保持直立姿势并在空间中移动。这种足部的凝聚力是通过关节囊韧带和腱膜结构实现的,此外还有具有“主动韧带”和姿势功能的肌肉结构。利用从磁共振图像的三维重建中获得的真实足部骨骼和软组织几何形状,开发了一种人体足部的三维(3D)有限元模型。足底筋膜和其他主要韧带使用与骨表面相连的桁架单元进行模拟。骨骼部分和韧带被包裹在一层软组织皮肤中,第一种情况下材料表现为线弹性行为,第二种情况下遵循超弹性定律。通过在距骨顶部施加350 N的载荷,并在跟腱上施加大小等于175 N的反作用力,并使其与刚性壁接触来对模型进行测试。结果表明,应力最大的区域位于跟骨周围,沿着一条包括骰骨并延伸至跖骨和第一趾骨的轨迹分布。足部是一个“空间”结构,完美地设计用于吸收和转移力,这些力被带回空间的无限平面。

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