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Numerical Methods and Analysis Tools for Material Mechanics Across Scales
Numerical Methods and Analysis Tools for Material Mechanics Across Scales
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20250211150932
- ISBN
- 9798381949087
- DDC
- 519
- 저자명
- Lu, Jiayin.
- 서명/저자
- Numerical Methods and Analysis Tools for Material Mechanics Across Scales
- 발행사항
- [Sl] : Harvard University, 2024
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2024
- 형태사항
- 217 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-09, Section: B.
- 주기사항
- Advisor: Rycroft, Christopher.
- 학위논문주기
- Thesis (Ph.D.)--Harvard University, 2024.
- 초록/해제
- 요약A material's structures at different lengthscales profoundly impact the material's properties and performance. Therefore, it is necessary to investigate material mechanics across scales to develop useful engineering applications. This thesis presents the developments of a few analysis tools and numerical methods aiding the study of material mechanics across scales. We start with developing computational geometry software libraries that leverage modern computing power and incorporate multi-threaded parallel computation. Firstly, we developed a multi-threaded version of Voro++, a software library to generate Voronoi diagrams for a set of particles. Multi-threaded Voro++ enables the analysis of large-scale particle systems, aiding with research in understanding microstructures of materials. We further extended our research to address challenges in meshing for finite element (FEM) computations, which are often used in macroscopic continuum simulation of materials. We use the multi-threaded Voro++ to develop TriMe++, a multi-threaded triangle meshing software for 2D shapes. TriMe++ can aid with large-scale FEM simulations. We then switch the focus to continuum modeling of materials at the macroscopic level. We investigated the plastic deformation of elastoplastic materials in the quasi-static limit. The existing numerical method to solve quasi-static elastoplasticity is a projection method analogous to Chorin's projection method (1968) for incompressible Newtonian fluids. We developed a few numerical improvements to the existing projection method, including (1) a second-order temporal formulation; (2) a FEM implementation of the projection step; (3) an efficient adaptive time-stepping scheme. The improvements can aid with efficient and accurate simulations of the plastic deformation of quasi-static elastoplastic materials in different loading scenarios.
- 일반주제명
- Applied mathematics
- 일반주제명
- Computational physics
- 일반주제명
- Materials science
- 기타저자
- Harvard University Engineering and Applied Sciences - Applied Math
- 기본자료저록
- Dissertations Abstracts International. 85-09B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520250211150932
■006m o d
■007cr#unu||||||||
■020 ▼a9798381949087
■035 ▼a(MiAaPQ)AAI30990461
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a519
■1001 ▼aLu, Jiayin.▼0(orcid)0000-0001-5590-1437
■24510▼aNumerical Methods and Analysis Tools for Material Mechanics Across Scales
■260 ▼a[Sl]▼bHarvard University▼c2024
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2024
■300 ▼a217 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 85-09, Section: B.
■500 ▼aAdvisor: Rycroft, Christopher.
■5021 ▼aThesis (Ph.D.)--Harvard University, 2024.
■520 ▼aA material's structures at different lengthscales profoundly impact the material's properties and performance. Therefore, it is necessary to investigate material mechanics across scales to develop useful engineering applications. This thesis presents the developments of a few analysis tools and numerical methods aiding the study of material mechanics across scales. We start with developing computational geometry software libraries that leverage modern computing power and incorporate multi-threaded parallel computation. Firstly, we developed a multi-threaded version of Voro++, a software library to generate Voronoi diagrams for a set of particles. Multi-threaded Voro++ enables the analysis of large-scale particle systems, aiding with research in understanding microstructures of materials. We further extended our research to address challenges in meshing for finite element (FEM) computations, which are often used in macroscopic continuum simulation of materials. We use the multi-threaded Voro++ to develop TriMe++, a multi-threaded triangle meshing software for 2D shapes. TriMe++ can aid with large-scale FEM simulations. We then switch the focus to continuum modeling of materials at the macroscopic level. We investigated the plastic deformation of elastoplastic materials in the quasi-static limit. The existing numerical method to solve quasi-static elastoplasticity is a projection method analogous to Chorin's projection method (1968) for incompressible Newtonian fluids. We developed a few numerical improvements to the existing projection method, including (1) a second-order temporal formulation; (2) a FEM implementation of the projection step; (3) an efficient adaptive time-stepping scheme. The improvements can aid with efficient and accurate simulations of the plastic deformation of quasi-static elastoplastic materials in different loading scenarios.
■590 ▼aSchool code: 0084.
■650 4▼aApplied mathematics
■650 4▼aComputational physics
■650 4▼aMaterials science
■653 ▼aComputational geometry
■653 ▼aElastoplastic materials
■653 ▼aHigh-order method
■653 ▼aParallel computation
■653 ▼aScientific computing
■653 ▼aVoronoi tessellation
■690 ▼a0794
■690 ▼a0364
■690 ▼a0216
■71020▼aHarvard University▼bEngineering and Applied Sciences - Applied Math.
■7730 ▼tDissertations Abstracts International▼g85-09B.
■790 ▼a0084
■791 ▼aPh.D.
■792 ▼a2024
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17160201▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
