Computational Wear and Contact Modeling for Fretting Analysis with Isogeometric Dual Mortar Methods

Abstract

A finite element framework based on dual mortar methods is presented for simulating fretting wear effects in the finite deformation regime. The mortar finite element discretization is realized with Lagrangean shape functions as well as isogeometric elements based on non-uniform rational B-splines (NURBS) in two and three dimensions. Fretting wear effects are modeled in an incremental scheme with the help of Archard’s law and the worn material is considered as additional contribution to the gap function. Numerical examples demonstrate the robustness and accuracy of the presented algorithm.

An implicit finite wear contact formulation based on dual mortar methods

“…For pure slave‐sided wear, the algorithm presented in this contribution nicely matches the internal state variable approach. This demonstrates that the presented finite wear algorithm is implicitly also capable to reproduce fretting wear effects and contains the algorithm in as as special case. Again the two‐sided wear case with leads to identical results for slave and master side.…”

“…Now, the novel finite wear algorithm is compared with the internal state variable algorithm given in . The calculated wear depth is plotted for an exemplarily chosen node in Figure .…”

“…Resulting wear depth (left) and normal contact stress (right) for one‐sided wear (red), two‐sided wear (blue), and the internal state variable algorithm from (green).…”

“…In general, there are two different classes of wear treatment in computational contact mechanics: either only the consideration of very small amounts of wear or finite wear resulting in significant shape changes. The first class is usually treated by modifications of the gap function, which results in slightly overlapping bodies . However, this contribution will focus on the second class, which treats finite wear effects.…”

A monolithic, mortar‐based interface coupling and solution scheme for finite element simulations of lithium‐ion cells

“…To circumvent this problem, we subdivide the entire integration domain into contiguous nonoverlapping integration cells, each carrying a smooth integrable portion of the overall integrand, as depicted in Figure . This procedure is called segment‐based integration and is well known from computational contact mechanics,() fluid mechanics, and mesh tying in solid mechanics . We adopt this integration technique to achieve maximum accuracy with our mortar‐based coupling scheme, as demonstrated in our numerical examples in Section 5.…”