Kampf J P, Frank C W, Malmström E E, Hawker C J
Department of Chemical Engineering, Stanford University, Stanford, CA 94305-5025, USA. IBM Almaden Research Center, San Jose, CA 95120-6099, USA.
Science. 1999 Mar 12;283(5408):1730-3. doi: 10.1126/science.283.5408.1730.
A constitutive equation based on stress-strain models of bulk solids was adapted to relate the surface pressure, compression rate, and temperature of an insoluble monolayer of monodendrons during collapse at the air-water interface. A power law relation between compression rate and surface pressure and an Arrhenius temperature dependence of the steady-state creep rate were observed in data from compression rate and creep experiments in the collapse region. These relations were combined into a single constitutive equation to calculate the temperature dependence of the collapse pressure with a maximum error of 5 percent for temperatures ranging from 10 degrees to 25 degrees C.
基于散装固体应力应变模型的本构方程被改编，以关联单枝分子不溶性单层在气-水界面坍塌过程中的表面压力、压缩速率和温度。在坍塌区域的压缩速率和蠕变实验数据中，观察到压缩速率与表面压力之间的幂律关系以及稳态蠕变速率的阿仑尼乌斯温度依赖性。这些关系被合并成一个单一的本构方程，用于计算坍塌压力的温度依赖性，对于10摄氏度至25摄氏度的温度范围，最大误差为5%。
