New overlapping finite elements and their application in the AMORE paradigm

The finite element method has become a fundamental analysis tool for modern sciences and engineering. Despite the great improvement in theory and application over the past decades, the need for regular conforming meshes in finite element analysis still requires much human effort in engineering practice. In this thesis we focus on designing novel finite element procedures to reduce the meshing effort expended on constructing a finite element model for solids and structures. The new meshing paradigm of "a̲utomatic m̲eshing with overlapping and regular elements", the AMORE paradigm, has recently been formulated. In this paradigm, the finite elements interior to the domain of interest are undistorted traditional elements and overlapping of elements is used for the discretization near the boundaries. The overlapping of elements gives much freedom to the meshing procedure and results in a much reduced meshing effort. Two types of overlapping are investigated.

Name thesis:degree_name

Doctoral

Department dc:contributor.department

Massachusetts Institute of Technology. Department of Mechanical Engineering

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2020

Author dc:creator

• Huang, Junbin,Ph. D.Massachusetts Institute of Technology.

Advisor dc:contributor.advisor

• Klaus-Jürgen Bathe.

• Mechanical Engineering.

Statement dc:rights

• MIT theses may be protected by copyright. Please reuse MIT thesis content according to the MIT Libraries Permissions Policy, which is available through the URL provided.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

https://hdl.handle.net/1721.1/127051

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/127051