Recent advances in the Component-Wise modeling of structures for damage and wave propagation problems
Annotatsiya
This paper presented the latest developments related to the Component-Wise approach (CW). The CW is based on the use of Lagrange Expansion (LE) 1D CUF models. LE models have the following features [1]: • The unknowns of the problem are pure displacements. In other words, no rotations or higher-order variables are needed. • LE model variables and BCs can be located above the physical surfaces of the structure. No mathematical lines or surfaces are needed. • Locally refined models can be easily built since Lagrange polynomial sets can be arbitrarily spread above the cross-section. LE models are 1D models that lead to a high-fidelity physical, volume/surface-based geometrical modeling, as shown in Fig. 1. LE models are of particular interest for the analysis Beam element Beam node Lagrange node above the first beam node cross-section Lagrange node above the second beam node cross-section DOFs: pure displacements of each Lagrange node (3 DOFs per Lagrange node) Lagrange nodes can be placed above the physical surface of the structure 3D Geometry from CAD