Abstract
A novel non-linearly explicit second-order accurate L-stable computational methodology for integrating the non-linear equations of motion without non-linear iterations during each time step, and the underlying implementation procedure is described. Emphasis is placed on illustrative non-linear structural dynamics problems employing both total/updated Lagrangian formulations to handle finite deformation hypoelasticity/hypoelasto-plasticity models in conjunction with a new explicit exact integration procedure for a particular rate form constitutive equation. Illustrative numerical examples are shown to demonstrate the robustness of the overall developments for non-linear structural dynamics applications.
Original language | English (US) |
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Pages (from-to) | 795-823 |
Number of pages | 29 |
Journal | International Journal for Numerical Methods in Engineering |
Volume | 59 |
Issue number | 6 |
DOIs | |
State | Published - Feb 14 2004 |
Keywords
- Finite deformation
- Hypo-elasticity/hypo-elasto-plasticity
- Non-linearly explicit time integration algorithm
- Stress update algorithm
- Total/updated Lagrangian formulations