Introduction
Tomlinson Movie
Macroscopic Friction
The law of Leonardo (da Vinci)
The law of Euler and Amontons
The law of Coulomb
Historical abstract
Asperities
Adhesion models
Friction Force Microscopy
Principle of measuring
Measuring Topology
Measuring Friction
Both Channels
Calibration
Dissipation
Self assessment
Tomlinson's mechanism
Phenomenology I
Phenomenology II
Mechanical adiabaticity
Distinguish positions
Playing Tomlinson
Friction - a pinning problem
2D Friction
Critical Curves
Historical Background
Research Projects
Simulator Applet
The first Picture
The Panels
Parameters
Post processing
Statistics
Glossary
Textbook
 

Critical Curves

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If the support is drawn over the critical curve the tip reaches the stability frontier and does an irreversible jump. For two dimensions the stability frontier equals the critical curve. In the picture you see the critical curves for an isotropic elasticity matrix. For a hard bond it consists of a set of stars with four teeth which lay on the maxima of the potentials (top of the hills). Grid lines which cross the stars are coupled with friciton, grid lines between the stars are not (a). For soft bonds the stars grow and finally cross the grid lines. Now there are no more grid lines without friction (b).

 
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