Elsheikh Ahmed, Kassem Wael, Jones Stephen W
School of Engineering, University of Liverpool, UK.
Acta Bioeng Biomech. 2011;13(2):25-36.
Knowledge of strain-rate sensitivity of corneal tissue is important for improving the understanding of the tissue's response to mechanical actions and the accurate numerical simulation of corneal biomechanical behaviour under the effects of disease and surgery. In the study, fresh and well-preserved porcine and ovine corneal buttons were subjected to uniaxial tension loads with seven different strain rates ranging between 0.8 and 420% per minute. All specimens exhibited increased stiffness (as measured by the tangent modulus) with higher strain rates. However, clear differences in their behaviour were observed. While ovine corneas showed gradual, consistent and mostly statistically significant increases in stiffness with all elevations in strain rate, porcine corneas' response was significant over only a limited range of low strain rates. The effect of strain rate on the material's stress-strain behaviour was considered in the formation of three sets of constitutive models including: (i) a model based on a simple exponential stress-strain relationship, (ii) the Ogden model that considers the tissue's hyperelasticity but not anisotropy, and (iii) a third model by Holzapfel, Gasser and Ogden that considers both hyperelasticity and anisotropy. The three models are introduced to enable consideration of the strain rate effects in simulations employing finite element programs with varying capabilities or in modelling applications in corneal biomechanics which may or may not require consideration of mechanical anisotropy.
了解角膜组织的应变率敏感性对于增进对该组织对机械作用的反应的理解以及准确数值模拟疾病和手术影响下的角膜生物力学行为至关重要。在该研究中,将新鲜且保存良好的猪和羊角膜纽扣置于单轴拉伸载荷下,应变率有七种,范围在每分钟0.8%至420%之间。所有标本的刚度(以切线模量衡量)都随着应变率的提高而增加。然而,观察到它们的行为存在明显差异。虽然羊角膜在应变率升高时刚度呈现逐渐、一致且大多具有统计学意义的增加,但猪角膜仅在有限的低应变率范围内反应显著。在构建三组本构模型时考虑了应变率对材料应力 - 应变行为的影响,这三组模型包括:(i) 基于简单指数应力 - 应变关系的模型,(ii) 考虑组织超弹性但不考虑各向异性的奥格登模型,以及(iii) 由霍尔扎菲尔、加塞尔和奥格登提出的同时考虑超弹性和各向异性的第三个模型。引入这三个模型是为了在使用具有不同功能的有限元程序进行模拟时,或者在角膜生物力学建模应用中(可能需要也可能不需要考虑机械各向异性)考虑应变率效应。