Then C, Stassen B, Depta K, Silber G
Center of Biomedical Engineering (CBME), Frankfurt/M., Germany; Institute for Materials Science, Frankfurt University of Applied Sciences, Frankfurt/M., Germany.
Procter & Gamble Service GmbH, Kronberg, Germany.
J Mech Behav Biomed Mater. 2017 Jul;71:68-79. doi: 10.1016/j.jmbbm.2017.02.022. Epub 2017 Feb 21.
Mechanical characterization of human superficial facial tissue has important applications in biomedical science, computer assisted forensics, graphics, and consumer goods development. Specifically, the latter may include facial hair removal devices. Predictive accuracy of numerical models and their ability to elucidate biomechanically relevant questions depends on the acquisition of experimental data and mechanical tissue behavior representation. Anisotropic viscoelastic behavioral characterization of human facial tissue, deformed in vivo with finite strain, however, is sparse. Employing an experimental-numerical approach, a procedure is presented to evaluate multidirectional tensile properties of superficial tissue layers of the face in vivo. Specifically, in addition to stress relaxation, displacement-controlled multi-step ramp-and-hold protocols were performed to separate elastic from inelastic properties. For numerical representation, an anisotropic hyperelastic material model in conjunction with a time domain linear viscoelasticity formulation with Prony series was employed. Model parameters were inversely derived, employing finite element models, using multi-criteria optimization. The methodology provides insight into mechanical superficial facial tissue properties. Experimental data shows pronounced anisotropy, especially with large strain. The stress relaxation rate does not depend on the loading direction, but is strain-dependent. Preconditioning eliminates equilibrium hysteresis effects and leads to stress-strain repeatability. In the preconditioned state tissue stiffness and hysteresis insensitivity to strain rate in the applied range is evident. The employed material model fits the nonlinear anisotropic elastic results and the viscoelasticity model reasonably reproduces time-dependent results. Inversely deduced maximum anisotropic long-term shear modulus of linear elasticity is G=2.43kPa and instantaneous initial shear modulus at an applied rate of ramp loading is G=15.38kPa. Derived mechanical model parameters constitute a basis for complex skin interaction simulation.
人体面部表层组织的力学特性在生物医学、计算机辅助法医学、图形学和消费品开发等领域具有重要应用。具体而言,后者可能包括面部脱毛设备。数值模型的预测准确性及其阐明生物力学相关问题的能力取决于实验数据的获取和组织力学行为的表征。然而,关于在体内发生有限应变变形的人体面部组织的各向异性粘弹性行为表征却很稀少。本文采用实验 - 数值方法,提出了一种评估面部表层组织层在体内多向拉伸特性的程序。具体来说,除了应力松弛测试外,还进行了位移控制的多步斜坡 - 保持试验,以区分弹性和非弹性特性。在数值表征方面,采用了一种各向异性超弹性材料模型,并结合了具有 Prony 级数的时域线性粘弹性公式。利用有限元模型,通过多准则优化反演模型参数。该方法有助于深入了解面部表层组织的力学特性。实验数据表明存在明显的各向异性,尤其是在大应变情况下。应力松弛率不依赖于加载方向,而是与应变有关。预加载消除了平衡滞后效应,并导致应力 - 应变的可重复性。在预加载状态下,在所施加的应变率范围内,组织刚度和滞后对应变率不敏感是明显的。所采用的材料模型能够拟合非线性各向异性弹性结果,并且粘弹性模型能够合理地再现与时间相关的结果。反演推导得到的线性弹性最大各向异性长期剪切模量为 G = 2.43kPa,斜坡加载速率下的瞬时初始剪切模量为 G = 15.38kPa。推导得到的力学模型参数构成了复杂皮肤相互作用模拟的基础。