Conform to Interface Structured Adaptive Mesh Refinement (CISAMR)

Abstract eng:
A novel algorithm named Conform to Interface Structured Adaptive Mesh Refinement (CISAMR) is introduced for the automated finite element modeling of materials with complex microstructures. This algorithm transforms a structured grid, into a conforming mesh composed of both quadrilateral and triangular elements. The background grid is first subjected to an appropriate level of Structured Adaptive Mesh Refinement (SAMR) along the interface and in the vicinity of the domain boundaries. An r-adaptivity algorithm is then applied to relocate selected nodes of the background mesh to the intersection points between materials interfaces and element edges. The elements deformed by the r-adaptivity process are further subdivided to create triangular children elements with aspect ratios smaller than 3. The sub-triangulation is also expanded to neighboring elements and those affected by the SAMR to eliminate potential hanging nodes.

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