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Strong Form-Based Collocation Method and its Applications : = Microstructure Evolution, Contact Mechanics, and Frictional Crack.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Strong Form-Based Collocation Method and its Applications :/
Reminder of title:	Microstructure Evolution, Contact Mechanics, and Frictional Crack.
Author:	Almasi, Ashkan .
Description:	1 online resource (139 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 81-08, Section: B.
Contained By:	Dissertations Abstracts International81-08B.
Subject:	Engineering. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=27662801click for full text (PQDT)
ISBN:	9781392558737

Strong Form-Based Collocation Method and its Applications : = Microstructure Evolution, Contact Mechanics, and Frictional Crack.
Almasi, Ashkan .

Strong Form-Based Collocation Method and its Applications :Microstructure Evolution, Contact Mechanics, and Frictional Crack. - 1 online resource (139 pages)

Source: Dissertations Abstracts International, Volume: 81-08, Section: B.

Thesis (Ph.D.)--University of Colorado at Boulder, 2019.

Includes bibliographical references

The main objective of this thesis is to develop strong form meshfree collocation method as a reliable computational method applicable to important class of engineering applications. The proposed method directly discretizes the strong form of the governing partial differential equations based on Taylor series approximation and the moving least squares approach. In this work, the proposed method is applied to polycrystalline solids in the context of two-dimensional grain growth solidification and stress analysis of the resulting polycrystalline morphology. First, the proposed method is used to predict the grain growth during the solidification process of polycrystalline materials using a multi-phase field model. Then, the resulting morphology of the polycrystalline solids is adopted for successive stress analysis of the polycrystalline solids. Results from these analyses are compared with those from the conventional finite element method to verify the accuracy and efficacy of the proposed one.This research also examines strong form meshfree collocation method for frictional contact problems. Frictional contact constraints are included in the strong form force balance equation as part of Neumann boundary conditions. The equation is then directly discretized with the precomputed derivative operators obtained from moving least-squares approximation using Taylor expansion of the displacement field through point-wise computations at collocation points. The accuracy and effectiveness of the method are examined via several benchmark frictionless and frictional contact problems using non-uniformly distributed collocation points. Numerical results are also compared with analytical and finite element solutions.Finally, strong form meshfree collocation method is proposed to model friction in crack surface. First, the proposed method is extended to solve multi-body frictional contact problems. Then, the near-tip field is modeled based on explicitly imposing the traction-free boundary condition on the crack surfaces and using visibility criterion to deal with the displacement discontinuity due to a crack. The method can robustly capture the near-tip solution.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2023

Mode of access: World Wide Web

ISBN: 9781392558737Subjects--Topical Terms:

586835
Engineering.
Subjects--Index Terms:

Frictional contactIndex Terms--Genre/Form:

542853
Electronic books.

Strong Form-Based Collocation Method and its Applications : = Microstructure Evolution, Contact Mechanics, and Frictional Crack.
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520 $a The main objective of this thesis is to develop strong form meshfree collocation method as a reliable computational method applicable to important class of engineering applications. The proposed method directly discretizes the strong form of the governing partial differential equations based on Taylor series approximation and the moving least squares approach. In this work, the proposed method is applied to polycrystalline solids in the context of two-dimensional grain growth solidification and stress analysis of the resulting polycrystalline morphology. First, the proposed method is used to predict the grain growth during the solidification process of polycrystalline materials using a multi-phase field model. Then, the resulting morphology of the polycrystalline solids is adopted for successive stress analysis of the polycrystalline solids. Results from these analyses are compared with those from the conventional finite element method to verify the accuracy and efficacy of the proposed one.This research also examines strong form meshfree collocation method for frictional contact problems. Frictional contact constraints are included in the strong form force balance equation as part of Neumann boundary conditions. The equation is then directly discretized with the precomputed derivative operators obtained from moving least-squares approximation using Taylor expansion of the displacement field through point-wise computations at collocation points. The accuracy and effectiveness of the method are examined via several benchmark frictionless and frictional contact problems using non-uniformly distributed collocation points. Numerical results are also compared with analytical and finite element solutions.Finally, strong form meshfree collocation method is proposed to model friction in crack surface. First, the proposed method is extended to solve multi-body frictional contact problems. Then, the near-tip field is modeled based on explicitly imposing the traction-free boundary condition on the crack surfaces and using visibility criterion to deal with the displacement discontinuity due to a crack. The method can robustly capture the near-tip solution.
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