Experimental study and numerical simulation of the nailing process as a full sliding frictional contact problem using a displacement-driven approach

ABSTRACT

The contribution at hand aims to numerically simulate the nail driving process using the finite element method. The geometrical constraint of the impenetrability between the surfaces of the two contacting bodies is delivered using a displacement-driven approach. The Coulomb friction law is employed to describe the interaction between two contacting surfaces, where the coefficient of friction is obtained experimentally. In this work, the driving of a nail into blocks of polyurethane (PUR) and spruce wood is simulated in a quasi-static manner. Von Mises plasticity is employed to model PUR, while a more complicated constitutive model is utilized for spruce wood. This constitutive formulation considers the influence of the grain direction as well as the nonlinear behavior of spruce wood. The driving forces obtained from the numerical simulation are compared to the experiments. Despite simplifications and assumptions, the comparison demonstrates reasonable agreement in the simulation of nailing into PUR. Under the same circumstances, the comparison in the case of spruce wood shows a more reasonable agreement at the initial stages but fails prematurely due to severe mesh distortion. Overlooking the distortion issue, which must be further investigated, the outcome demonstrates the stability and reliability of the material and contact model.

KEYWORDS:

• Nail-driving process
• displacement-driven contact approach
• friction
• elastoplastic anisotropic constitutive model
• finite deformation
• finite element methods

Acknowledgments

We are thankful for the experimental data of the nail driving and friction test provided by R&D Department of Adolf Würth GmbH & Co.KG, which made it possible to validate this numerical simulation. We also would like to show our gratitude to our colleague Robert Fleischhauer, who provided insight and expertize that greatly assisted this research.

Data availability statement

The experimental data provided by R&D Department of Adolf Würth GmbH & Co.KG in study is not available due to ethical restriction. The other data that support the findings of this study are available from the corresponding authors upon reasonable request.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

We gratefully acknowledge the financial support of Diah Puspita Rahmi by Sächsiches Landesstipendium (Saxon Scholarship Program) with reference number L-201213.