TY - JOUR A1 - Lozano, Daniel A1 - Bulling, Jannis A1 - Asokkumar, A. A1 - Gravenkamp, H. A1 - Birk, C. T1 - 3D simulations of ultrasonic waves in plates using the scaled boundary finite element method and high-order transition elements N2 - It can be difficult to efficiently model ultrasonic waves in 3D structures, especially when the computational model needs to account for complex geometries. This contribution presents a solution based on the Scaled Boundary Finite Element Method (SBFEM). It is a numerical tool suitable for elastodynamic problems. A space-tree discretisation, namely quad-trees, is used. This technique allows the decomposition of an image into quadrilaterals or quads, which are extruded to generate the 3D plate geometry. In particular, small quads resolve regions with discontinuities, allowing them to represent fine details in the structure. Moreover, this meshing technique allows for exploiting cell similarities, making the calculation procedure more efficient. The space-tree discretisations are generated from a high-resolution image containing all the information about damaged regions or boundary conditions. The resulting SBFEM polyhedral domains employ transition elements to ensure correct coupling between cells of different sizes. The analytical solution of a cylindrical scatterer serves as a reference to validate the proposed approach. Other examples also demonstrate the validity of the methodology and its flexibility. KW - High-order transition elements KW - Image-based models KW - Wave propagation KW - Scaled boundary finite element method PY - 2023 DO - https://doi.org/10.1016/j.wavemoti.2023.103158 VL - 120 SP - 1 EP - 20 PB - Elsevier B.V. AN - OPUS4-57768 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - CONF A1 - Bulling, Jannis A1 - Gravenkamp, H. A1 - Birk, C. T1 - On the efficient simulation of ultrasonic waves on polygonal meshes N2 - At many stages of technology development in ultrasonic Non-Destructive Testing (NDT) and Structural Health Monitoring (SHM), simulation tools are essential. Many modern approaches to ultrasonic testing, such as Model Assisted Probability of Detection, inverse problems with iterative optimization, or the generation of data for AI training, benefit from highly efficient simulation tools in terms of simulation time. In this talk, we investigate explicit time stepping with the Scaled Boundary Finite Element Method (SBFEM) for approximating the linear elastic wave equation on 2D polygonal meshes, enhanced with a mass lumping technique for faster simulation times. We present the proposed changes to the formulation to successfully use mass lumping. Examples are used to demonstrate that there is no loss of quality due to the approximated mass matrix. Furthermore, mass lumping reduces the simulation time and makes the simulation more efficient. In addition, the proposed simulation method has the advantages of SBFEM meshing techniques. These advantages include fast meshing using an image-based quadtree algorithm or polygonal meshing by transforming triangular meshes based on a CAD model. The latter meshing method can include special crack tip elements that efficiently handle the crack tip singularity. T2 - DAS | DAGA 2025 CY - Copenhagen, Denmark DA - 17.03.2025 KW - Non-Destructive Testing (NDT) KW - Scaled Boundary Finite Element Method (SBFEM) KW - Structural Health Monitoring (SHM) KW - Numerical simulation PY - 2025 UR - https://pub.dega-akustik.de/DAS-DAGA_2025/imprint.html SN - 978-3-939296-23-2 SP - 1592 EP - 1595 AN - OPUS4-63017 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -