Filip D, Uricanu V I, Duits M H G, van den Ende D, Mellema J, Agterof W G M, Mugele F
Physics of Complex Fluids Group, University of Twente, Faculty of Science and Technology, Enschede, Netherlands.
Langmuir. 2006 Jan 17;22(2):560-74. doi: 10.1021/la0522653.
We studied the mechanical behavior of densely packed (up to approximately 30% v/v), sedimented layers of (1 microm) water-in-oil W/O emulsion droplets, upon indentation with a (10 microm) large spherical probe. In the presence of attractive forces, the droplets form solid like networks which can resist deformation. Adding a polymer to the oil phase was used to control droplet attraction. The droplet layers were assembled via normal gravity settling. Considering that both the network structure and the droplet interactions play a key role, we used a combination of atomic force microscopy (AFM) and confocal scanning laser microscopy (CSLM) to characterize the mechanical behavior. Here the AFM was used both as indentation tool and as force sensor. Indentation experiments were performed via a protocol consisting of approach, waiting, and retract stages. CSLM was used to observe the network structure at micron resolution in real time. Use of refractive index matched fluorescent droplets allowed the visualization of the entire layer. Upon compression with the probe, a markedly nonhomogeneous deformation occurred, evidenced by the formation of a dense corona (containing practically all of the displaced droplets) in the direct vicinity of the probe, as well as more subtle deformations of force-chains at larger distances. Upon decompression, both the imprint of the indenter and the corona remained, even long after the load was released. The force-distance curves recorded with the AFM correspond well to these observations. For each deformation cycle performed on fresh material, the retract curve was much steeper than the approach curve, thus corroborating the occurrence of irreversible compaction. Contrary to classic linear viscoelastic materials, this hysteresis did not show any dependence on the deformation speed. Our force-indentation approach curves were seen to scale roughly as F approximately delta(3/2). The pre-factor was found to increase with the polymer concentration and with the density of the network. These findings suggest that this new AFM-CSLM method could be used for rheological characterization of small volumes of "granular networks" in liquid. Our hypothesis that the mechanical resistance of the networks originates from interdroplet friction forces, which in turn are set by the interdroplet potential forces, is supported by the predictions from a new mechanical model in which the interdroplet bonds are represented by stick-slip elements.
我们研究了紧密堆积(体积分数高达约30%)的、沉积的(1微米)油包水(W/O)乳液液滴层在用(10微米)大的球形探针压入时的力学行为。在存在吸引力的情况下,液滴形成类似固体的网络,能够抵抗变形。向油相中添加聚合物用于控制液滴间的吸引力。液滴层通过正常重力沉降组装而成。考虑到网络结构和液滴间相互作用都起着关键作用,我们结合使用原子力显微镜(AFM)和共聚焦扫描激光显微镜(CSLM)来表征力学行为。在这里,AFM既用作压入工具,又用作力传感器。压入实验通过由接近、等待和回缩阶段组成的方案进行。CSLM用于实时观察微米分辨率下的网络结构。使用折射率匹配的荧光液滴能够可视化整个液层。在用探针压缩时,发生了明显的非均匀变形,这表现为在探针紧邻区域形成密集的晕圈(实际上包含所有被位移的液滴),以及在较大距离处力链的更细微变形。在减压时,即使在载荷释放很久之后,压痕和晕圈仍然存在。用AFM记录的力 - 距离曲线与这些观察结果非常吻合。对于在新鲜材料上进行的每个变形循环,回缩曲线比接近曲线陡峭得多,从而证实了不可逆压实的发生。与经典的线性粘弹性材料相反,这种滞后现象对变形速度没有任何依赖性。我们的力 - 压入接近曲线大致按F约为δ^(3/2) 缩放。发现预因子随聚合物浓度和网络密度增加。这些发现表明,这种新的AFM - CSLM方法可用于对液体中少量“颗粒网络”进行流变学表征。我们的假设是,网络的机械阻力源于液滴间摩擦力,而液滴间摩擦力又由液滴间势能力决定,这一假设得到了一个新力学模型预测的支持,在该模型中液滴间键由粘滑元件表示。