Elastic, plastic, and viscoelastic contact problems in axisymmetric indentation

摘要

Theoretical considerations are made for an axisymmetric indentation from a viewpoint of mechanical characterization of engineering materials. Mathematically formulated are the constitutive relations of elastic and elastoplastic indentations in time-independent regime, as well as of viscous and viscoelastic indentations in time-dependent regime. The detailed procedures are addressed how to determine the mechanical properties (elasticity, plasticity, viscosity, and viscoelastic functions) on the basis of indentation load versus penetration depth relationship. It is emphasized that the indentation-based mechanical characterization is extremely efficient for wide varieties of engineering materials, including ceramics (amorphous and single/ploy crystalline ceramics), metals and organic polymers not only at room but also at elevated temperatures.