Scaling approach to conical indentation in elastic-plastic solids with work hardening

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  • Yang-Tse Cheng
    Physics and Physical Chemistry Department, General Motors Research and Development Center, Warren, Michigan 48090
  • Che-Min Cheng
    Laboratory for Non-Linear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, People’s Republic of China

抄録

<jats:p>We derive, using dimensional analysis and finite element calculations, several scaling relationships for conical indentation in elastic-plastic solids with work hardening. Using these scaling relationships, we examine the relationships between hardness, contact area, initial unloading slope, and mechanical properties of solids. The scaling relationships also provide new insights into the shape of indentation curves and form the basis for understanding indentation measurements, including nano- and micro-indentation techniques. They may also be helpful as a guide to numerical and finite element calculations of indentation problems.</jats:p>

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