Speaker：Ming Li（Zhejiang University）

Time：2022-12-15, 10:30

Location：Tencent Meeting ID：581-4735-3770（No Password）

Abstract:

Numerically predicting the performance of heterogeneous structures without scale separation is a fundamental problem in engineer analysis and may pave a new way in CAD/CAE integration. In in talk, I will introduce our recent approach for constructing new material-aware shape (basis) functions per element for a coarse discretization of the structure considering each curved bridge node (CBN) that is defined along the boundaries of the elements.The shape functions were constructed mapping the CBNs to the interior nodes and were subsequently presented in an explicit matrix form as a product of Bézier interpolation and boundary–interior transformations. The CBN shape function captures the heterogeneity of the coarse element with greater flexibility, overcomes the important and challenging issues of inter-element stiffness and displacement discontinuity across interfaces between coarse elements, and improves the analysis accuracy by several orders of magnitude.The performance of the proposed approach was tested and demonstrated through extensive numerical examples, including a 3D industrial example of billions of degrees of freedom, and comparisons with results obtained from classical approaches were made.