Abstract
A hybrid computational framework consisting of Eulerian boundary zone concept augmented to Lagrangian finite element formulations with moving meshes is proposed for effectively handling the steady-state problems. This is in conjunction with a novel L-stable time discretized framework that is necessary in conjunction with the hybrid formulations to enable computationally attractive features for practical problems. The L-stable algorithm is developed and implemented and is of second order accuracy and modified for nonlinear dynamic systems with frictional contact boundaries. No nonlinear iterations are necessary for the non-linear dynamic system of equations, and one only needs to update the artificial damping matrix once at every time step for non-linear dynamic problems. The proposed method is suitable for steady state problems with complex contact boundary conditions.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 144-168 |
| Number of pages | 25 |
| Journal | Mechanics of Advanced Materials and Structures |
| Volume | 19 |
| Issue number | 1-3 |
| DOIs | |
| State | Published - Jan 1 2012 |
Bibliographical note
Funding Information:Acknowledgment is due to Dr. S. H. Lee and the CEM group, POSCO, S. Korea for their efforts in posing some of the problems for validation, and support for making computational simulations practical for the steel industry. Computer grants from the Minnesota Supercomputer Institute (MSI), Minnesota are gratefully acknowledged.
Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
Keywords
- contact
- continuous casting
- finite elements
- rolling
- stead-state
- time integration