A three dimensional generalized finite element method for thin fibers embedded in a continuum

Generalized Finite Element Method (GFEM);Global-local analysis;Multi-scale problem;Fiber Reinforced Composites

Krishnan, Aditya ; Duarte ; C. Armando

关键词: Generalized Finite Element Method (GFEM);    Global-local analysis;    Multi-scale problem;    Fiber Reinforced Composites;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/31174/Krishnan_Aditya.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

The realistic simulation of the behavioral mechanisms of Fiber Reinforced Composites poses a computationaland implementation challenge to available Finite Element Methods (FEMs). Meshing a large numberof arbitrarily distributed fibers in three dimensions and modeling damage mechanisms, while simultaneouslyaccounting for multi-scale interactions would undermine the feasibility of available FEM for such models.This research project formulates and implements a multi-scale Generalized Finite Element Method(GFEM) using global-local enrichment functions (GFEM^{gl}) to overcome these limitations. The methodologyis verified by comparing the solution to specific linear elastic problems obtained by using GFEM^{gl}against solutions from the traditional FEM approach. In addition, these examples accentuate the limitationsof the usage of FEM to solve them. The GFEM^{gl} is finally applied to a key concept in the design ofadvanced composite materials, namely Crack-Bridging, to demonstrate its versatility.