Residual stresses in metal deposition modeling: discretizations of higher order
For researchers in additive manufacturing simulation, this work provides a computationally efficient high-order method for coupled thermo-elasto-plastic problems on transient meshes.
The paper investigates whether the finite cell method, a high-order embedded domain finite element method, can be used for efficient simulation of metal deposition. The proposed combination of multi-level hp-method and finite cell method is validated on two analytical and one experimental benchmark, demonstrating computational efficiency.
This article addresses the research question if and how the finite cell method, an embedded domain finite element method of high order, may be used in the simulation of metal deposition to harvest its computational efficiency. This application demands for the solution of a coupled thermo-elasto-plastic problem on transient meshes within which history variables need to be managed dynamically on non-boundary conforming discretizations. To this end, we propose to combine the multi-level hp-method and the finite cell method. The former was specifically designed to treat high-order finite element discretizations on transient meshes, while the latter offers a remedy to retain high-order convergence rates also in cases where the physical boundary does not coincide with the boundary of the discretization. We investigate the performance of the method at two analytical and one experimental benchmark.