Skip to Main Content
 

Global Search Box

 
 
 
 

Files

File List

Full text release has been delayed at the author's request until May 05, 2026

ETD Abstract Container

Abstract Header

On Application and Expansion of Conforming to Interface Structured Adaptive Mesh Refinement Algorithm for Meshing Complex Geometries in 3D

Pai, Salil Manoj
http://orcid.org/0000-0003-4739-4273
http://rave.ohiolink.edu/etdc/view?acc_num=osu1703174345682914

Abstract Details

2024, Doctor of Philosophy, Ohio State University, Mechanical Engineering.
Unstructured conforming meshes comprised of tetrahedral elements are widely used in finite element methods (FEM) for solving partial differential equations. To overcome the limitations of the iterative mesh generation techniques, the Conforming to Interface Structured Adaptive Mesh Refinement Algorithm (CISAMR) was developed that non-iteratively transforms a structured background mesh of tetrahedral elements into a fully conforming unstructured mesh with high-quality elements using 4 phases in 3D. In its original implementation, it was limited to only smooth geometries thereby limiting its capabilities for many problems encountered in engineering. This thesis introduces two new capabilities to the CISAMR algorithm. First, we present a framework to mesh non-smooth geometries with C0-continuities in 3D and create high-fidelity finite element (FE) models. A pre-processing stage is introduced to identify sharp features from a Stereolithography (STL) file. New algorithms are introduced to expedite the mesh geometry interaction process for a faster meshing time. A hierarchical r-adaptivity approach is used for relocating the background mesh nodes onto the sharp features of the geometry, an element deletion phase is introduced to eliminate degenerate tetrahedra and improve the mesh quality, and finally, a novel Kirigami-inspired sub-tetrahedralization algorithm is introduced to subdivide the remaining non-conforming tetrahedra and generate a conforming mesh that matches the material interface. These algorithms either upgrade or fully replace different phases of the original CISAMR technique, which was limited to modeling problems with smooth interfaces. Several example problems are then provided to demonstrate the upgraded CISAMR algorithm to handle domain geometries with complex, non-smooth interfaces. In the second part, a modified version of the CISAMR algorithm is presented for meshing closely packed microstructures as a part of an integrated computational framework for generating realistic FE models of woven textile composites with high-volume fractions. Virtually generated microstructures in this framework contain thin resin interstices and non-physical artifacts such as yarn interpenetrations that are challenging to mesh without heavy pre-processing and still yield a mesh with poor-quality elements. Modifications made to CISAMR can handle these challenging geometrical features without additional pre-processing and generate a high-quality FE mesh. Several example problems to demonstrate the ability of this framework to build high-fidelity FE models for textile composites with varying 2D and 3D weaving are presented and their linear elastic behavior is analyzed. Further, we show that the homogenized elastic moduli obtained from FE simulations on the synthesized model of an 8-harness satin woven composite agrees well with experimental measurements, which validates the accuracy of this framework. In addition to these modifications, the application of CISAMR for generating high-fidelity models to study the piezoelectric response of the bone at the submicron scale is also presented.
Soheil Soghrati (Advisor)
Alok Sutradhar (Committee Member)
Carlos Castro (Committee Member)
174 p.
Mechanical Engineering
CISAMR, mesh generation, tetrahedra, non-smooth geometry, finite element method, kirigami, woven composites, mesh quality

Recommended Citations

Citations

  • Pai, S. M. (2024). On Application and Expansion of Conforming to Interface Structured Adaptive Mesh Refinement Algorithm for Meshing Complex Geometries in 3D [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1703174345682914

    APA Style (7th edition)

  • Pai, Salil Manoj. On Application and Expansion of Conforming to Interface Structured Adaptive Mesh Refinement Algorithm for Meshing Complex Geometries in 3D. 2024. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1703174345682914.

    MLA Style (8th edition)

  • Pai, Salil Manoj. "On Application and Expansion of Conforming to Interface Structured Adaptive Mesh Refinement Algorithm for Meshing Complex Geometries in 3D." Doctoral dissertation, Ohio State University, 2024. http://rave.ohiolink.edu/etdc/view?acc_num=osu1703174345682914

    Chicago Manual of Style (17th edition)

osu1703174345682914
© 2023, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.