Vinogradova Olga I, Feuillebois François
Max Planck Institute for Polymer Research, Ackermannweg 10, 55128, Mainz, Germany.
J Colloid Interface Sci. 2003 Dec 15;268(2):464-75. doi: 10.1016/j.jcis.2003.09.002.
Our goal is to study theoretically the effect of deformation on the exponentially decaying interaction of two elastic solids separated by a thin liquid film. The deformed shape of the surfaces and the contribution of the elasticity to the total force, i.e., an additional term present between elastic bodies, are calculated from continuum elastic theory via a new asymptotic technique. Both the deformation and the contribution of the elasticity to the force are found to be significant on the length scale over which the surface force acts. The surface deformation is exponentially decaying with a decay length equal to that of the original surface interaction. It is especially important for large and/or rapidly changing force. The contribution of the elasticity is also exponentially decaying, but with half the decay length. Its strength depends on the elastic constants and size of the solids and on the magnitude and gradient of the original surface force. Depending on how the separation is detected, it can appear either as an attractive or as a repulsive contribution to the force. Our results open the possibility of recalculating the measured force to the interaction free energy.
我们的目标是从理论上研究变形对由薄液膜隔开的两个弹性固体之间指数衰减相互作用的影响。通过一种新的渐近技术，根据连续介质弹性理论计算表面的变形形状以及弹性对总力的贡献，即在弹性体之间存在的附加项。结果发现，在表面力作用的长度尺度上，变形和弹性对力的贡献都很显著。表面变形呈指数衰减，衰减长度与原始表面相互作用的衰减长度相等。这对于大的和/或快速变化的力尤为重要。弹性的贡献也呈指数衰减，但衰减长度减半。其强度取决于固体的弹性常数和尺寸以及原始表面力的大小和梯度。根据检测分离的方式，它对力的贡献可能表现为吸引力或排斥力。我们的结果为将测量力重新计算为相互作用自由能提供了可能性。
