Bending of a Staple

A staple is a short piece of wire driven through and bent to bind together papers etc. The bending process takes place very slowly such that inertial effects are negligible and it can be termed as quasi-static. Quasi-static problems can be simulated well with either Abaqus/Standard or Abaqus/Explicit. Typically, quasi static problems are solved with Abaqus/Standard but may face convergence difficulties due to contact or other nonlinearities. Such problems are a good candidate to be solved with Abaqus/Explicit as explicit procedure can resolve complicated contact problems and other discontinuous nonlinearities more easily than Abaqus/Standard. The bending of staple is performed here using Abaqus/Standard. Initially, the “hard” contact relationship, which is default in Abaqus, is used. Due to presence of sharp corners, the convergence difficulties arise. To overcome these difficulties at the contact interface, the “softened” pressure-overclosure relationship is used. The “soft” pressure-overclosure relationship, which allows some penetration, can make it easier to resolve the contact difficulties. This relationship makes it easier to simulate the bending of staple and also the convergence is achieved quicker using less increments.

Note: This exercise is part of the Solving Non-linear Problems with Abaqus course.

nomenclature of staple
staple penetration hard contact

The sharp corners make the resolution of contact a very difficult task using hard contact relationship. The “hard” contact relationship, which is default in Abaqus, implies zero-penetration of the contacting bodies. This could make the solving contact problems a challenging task

soft contact abaqus

The “softened” pressure-overclosure relationship are used to overcome the convergence problems at the contact interface.

stress plot after staple bending

The “soft” pressure-overclosure relationship, which allows some penetration, can make it easier to resolve the contact difficulties. Although there is some penetration shown in the figure but the analysis does not stop.

stress plot after staple bending

von Misest stresses at the end of the step.

The following animation shows the evolution of von Mises stresses, equivalent plastic strain and strain.

bending of a staple simulation
Simulation of the bending of a staple