Tensor interpolation in virtual manufacturing chains for fiber reinforced composites

Preeminent weight-specific mechanical properties predestine fiber-reinforced plastics for application in structural components. Virtual manufacturing chains (CAE-chains) capture a multi-step process sequence by interlinking models with corresponding constitutive laws each step. In common numerical solving techniques, spatial discretization of governing equations yields discrete solutions. Since mesh type and fineness are usually problem-specific, mesh-to-mesh mapping must be embedded the data interfaces between individual simulation steps. To receive meaningful data, underlying averaging interpolation schemes non-congruent meshes mathematically physically consistent. engineering applications, tensors is carried out component-based, treating component as an independent scalar-field thus neglecting tensorial character. The work at hand gives overview sophisticated techniques that preserve specific tensor characteristics interpolation. Compared to available approaches, enhanced decomposition-based method proposed, allowing generalization more than two basic values. context short injection molding, influence evaluated three-stage approach increasing proximity application. Firstly, mathematical examples demonstrate component-based can result erroneous, non-monotonous characteristics. Secondly, analytically resolvable problem derived, solution compared reconstructed from different schemes. Thirdly, CFD-simulation conducted. Field recovery via performed systematical errors statistically evaluated. results reveal significant biases certain induced conventional component-wise Overall, reduction systematic achieved proposed