Overview and details of the sessions of this conference. Please select a date or location to show only sessions at that day or location. Please select a single session for detailed view (with abstracts and downloads if available).
Session Chair: Sven Klinkel, RWTH Aachen Universtity Session Chair: Alexander Düster, Hamburg University of Technology
Location:Auditorium Wolfsburg
Presentations
A temporally piecewise adaptive multiscale quadtree/octree scaled boundary finite element method for solving viscoelastic problems with heterogeneous materials
1Dalian University of Technology, China; 2Mechanik–Materialtheorie, Ruhr-Universität Bochum, Bochum 44801, Germany
A new numerical model is proposed by combining the multiscale scaled boundary finite element method (MsSBFEM) and the temporally piecewise adaptive algorithm for the multiscale heterogeneous analysis of viscoelastic problems. In the time domain, temporally piecewise adaptive algorithm is adopted and the recursive equations for solving multiscale viscoelastic problems are derived. A spatial-time coupled multiscale viscoelastic problem is discretized into a series of multiscale elastic problems. When the different time step and error tolerance is adopted, the computation accuracy in time domain can be guaranteed by adaptive calculation. In the spatial domain, utilizing the quadtree or octree gridding, the construction of base functions can be conveniently and efficiently solved directly based on the 2D or 3D images, and the solution accuracy at the large-scale can be improved by increasing nodes of coarse elements only without increasing new nodes inside. Numerical examples are provided and the effectiveness of the proposed approach is stressed at both the large and small scales.
