Thomason J J, McClinchey H L, Jofriet J C
Department of Biomedical Sciences, University of Guelph, Ontario, Canada.
Equine Vet J. 2002 Nov;34(7):719-25. doi: 10.2746/042516402776250388.
Finite-element (FE) methods have great potential in equine biomechanics in evaluating mechanical stresses and strains in tissues deep within the hoof. In this study, we critically assessed that potential by comparing results of FE analyses of capsular strain with in vivo data. Nine FE models were developed, corresponding to the shape of hooves for which in vivo principal strain data are available. Each model had the wall, laminar junction, sole and distal phalanx (PIII). In a first loading condition (LC1), force is distributed uniformly to the bearing surface of the wall to determine reaction forces and moment on PIII. These reaction forces were subsequently applied to PIII in loading condition 2 (LC2) to simulate loading via the skeleton. Magnitude of the force resultant was equivalent to the vertical force on the hoof at midstance. Principal compressive strains epsilon2 were calculated at the locations of 5 rosette gauges on the real hooves and are compared with the in vivo strains at midstance. FE strains were from 16 to 221% of comparable in vivo values, averaging 104%. All models in this, and reports by other workers, show predominance of stress and strain at the toe to a greater extent than in the real hoof. The primary conclusion is that FE modelling of strain in the hoof capsule or deeper tissues of individual horses should not be attempted without corroborating experimental data.
有限元(FE)方法在马生物力学中具有巨大潜力,可用于评估蹄内深部组织的机械应力和应变。在本研究中,我们通过将囊应变的有限元分析结果与体内数据进行比较,对该潜力进行了批判性评估。开发了九个有限元模型,对应于有体内主应变数据的蹄形。每个模型都有蹄壁、层状连接、蹄底和远节趾骨(PIII)。在第一种加载条件(LC1)下,力均匀分布到蹄壁的支撑表面,以确定PIII上的反作用力和力矩。随后,在加载条件2(LC2)下将这些反作用力施加到PIII上,以模拟通过骨骼的加载。合力大小相当于蹄在站立中期的垂直力。在真实蹄上的5个应变片位置计算主压缩应变ε2,并与站立中期的体内应变进行比较。有限元应变是可比体内值的16%至221%,平均为104%。本研究中的所有模型以及其他研究人员的报告均表明,与真实蹄相比,蹄尖处的应力和应变占主导地位的程度更大。主要结论是,在没有确凿实验数据的情况下,不应尝试对个体马的蹄囊或更深组织中的应变进行有限元建模。