Adaptation of Bulk Constitutive Equations to Insoluble Monolayer Collapse at the Air-Water Interface
J. Patrick Kampf,
1
Curtis W. Frank,
1*
Eva E. Malmström,
2
Craig J. Hawker
2*
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° to
25°C.
1 Department of Chemical Engineering, Stanford
University, Stanford, CA 94305-5025, USA.
2 IBM
Almaden Research Center, San Jose, CA 95120-6099, USA.
*
To whom correspondence should be addressed.