Tactile Probe Indentation Mechanics and Creep Compliance in Elastomers
Automated tactile probe indentation extracts true elastomer creep compliance only when test routines correct for finite ramp rates and substrate stiffening.
Ting Integral Equation
Meaning
Contact mechanics models describe the stress distribution and deformation that occur when visco-elastic bodies press against each other under varying loads. The ting integral equation is a mathematical model used to calculate these contact areas and pressure distributions over time. This formulation is particularly applicable to materials that exhibit time-dependent mechanical properties such as polymers and biological tissues.
Mathematical Formulation
Analytical solutions of this equation require separating the loading and unloading history of the contact event. During the loading phase, the contact area grows monotonically, while during unloading, the contact area decreases. The equation uses hereditary integrals to account for the memory effect of the material.
Visco-elastic materials retain a memory of past deformations, which directly influences their response to new loads.
Viscoelastic Behavior
Material characterization must determine the relaxation function of the visco-elastic body before applying this mathematical model. This characterization represents the material capability to dissipate energy rather than its load-bearing capacity alone. The cost of calling a design final without this analysis is the potential failure of the component under cyclic loading conditions.
Contact Mechanics
Industrial applications utilize these calculations to design durable seals and joints. This prevents excessive wear and premature mechanical failure.