東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Modeling and Simulation of Thermomec...

Ding, Mengyuan.

FindBook

Google Book

Amazon

博客來

Modeling and Simulation of Thermomechanical Elasto-Viscoplastic Material and Ductile Fracture with the Material Point Method.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Modeling and Simulation of Thermomechanical Elasto-Viscoplastic Material and Ductile Fracture with the Material Point Method./
作者:	Ding, Mengyuan.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2020,
面頁冊數:	115 p.
附註:	Source: Dissertations Abstracts International, Volume: 81-12, Section: B.
Contained By:	Dissertations Abstracts International81-12B.
標題:	Applied mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=27996814
ISBN:	9798641338583

Modeling and Simulation of Thermomechanical Elasto-Viscoplastic Material and Ductile Fracture with the Material Point Method.
Ding, Mengyuan.

Modeling and Simulation of Thermomechanical Elasto-Viscoplastic Material and Ductile Fracture with the Material Point Method. - Ann Arbor : ProQuest Dissertations & Theses, 2020 - 115 p.

Source: Dissertations Abstracts International, Volume: 81-12, Section: B.

Thesis (Ph.D.)--University of California, Los Angeles, 2020.

This item must not be sold to any third party vendors.

This dissertation focuses on applications and extensions of the Material Point Method(MPM) in simulating ductile fracture and thermomechanical material behavior for baking and cooking. We conclude the two major contributions as follows:First, we present novel techniques for simulating and visualizing ductile fracture with MPM. We utilize traditional particle-based MPM [SZS95] as well as the Lagrangian energy formulation of [JSS15] that formulates the deformation gradient and potential energy through a tetrahedron mesh. We model failure and fracture via elasto-plasticity with damage. Material shows elastic behavior until the deformation exceeds a Rankine or von Mises yield criterion, at which point irreversible damage starts to occur. We introduce a softening model that shrinks the yield surface until a damage threshold is reached. Once damaged the material Lame coefficients are modified to represent failure. We design visualization techniques for rendering the boundary of the material and its intersections with evolving crack surfaces. Our approach uses a simple and efficient element splitting strategy for tetrahedron meshes to represent crack surfaces. For traditional particle-based MPM we use an initial Delaunay tetrahedralization to connect randomly initialized MPM particles and form a reference mesh. Our visualization technique is a postprocess and can be run separately after the MPM simulation for efficiency. We demonstrate the strength of our method with a number of challenging simulations of ductile failure with considerable and persistent self contact.Our second contribution is a Material Point Method for visual simulation of baking breads, cookies, pancakes and similar materials. We develop a novel thermomechanical model using mixture theory to resolve interactions between individual water, gas and solid species. Heat transfer with thermal expansion is used to model thermal variations in material properties. Water based mass transfer is resolved through the porous mixture. Gas represents carbon dioxide produced by leavening agents in the baking process, and the solid component is modeled as a visco-elastoplastic material to represent its varied and complex rheological properties. Water content in the mixture reduces during the baking process according to Fick's Law which contributes to the drying and cracking of crust at the material boundary. Carbon dioxide gas produced by leavening agents during baking creates internal pressure that causes rising. The visco-elastoplastic model for the dough is temperature dependent and is used to model melting and solidification. We discretize the governing equations using a novel Material Point Method designed to track the solid phase of the mixture.

ISBN: 9798641338583Subjects--Topical Terms:

2122814
Applied mathematics.
Subjects--Index Terms:

Baking

Modeling and Simulation of Thermomechanical Elasto-Viscoplastic Material and Ductile Fracture with the Material Point Method.
LDR:03978nmm a2200385 4500 001 2273364
005 20201109125227.5
008 220629s2020 ||||||||||||||||| ||eng d
020 $a 9798641338583
035 $a (MiAaPQ)AAI27996814
035 $a AAI27996814
040 $a MiAaPQ $c MiAaPQ
100 1 $a Ding, Mengyuan. $3 3550802
245 1 0 $a Modeling and Simulation of Thermomechanical Elasto-Viscoplastic Material and Ductile Fracture with the Material Point Method.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2020
300 $a 115 p.
500 $a Source: Dissertations Abstracts International, Volume: 81-12, Section: B.
500 $a Advisor: Teran, Joseph M.
502 $a Thesis (Ph.D.)--University of California, Los Angeles, 2020.
506 $a This item must not be sold to any third party vendors.
520 $a This dissertation focuses on applications and extensions of the Material Point Method(MPM) in simulating ductile fracture and thermomechanical material behavior for baking and cooking. We conclude the two major contributions as follows:First, we present novel techniques for simulating and visualizing ductile fracture with MPM. We utilize traditional particle-based MPM [SZS95] as well as the Lagrangian energy formulation of [JSS15] that formulates the deformation gradient and potential energy through a tetrahedron mesh. We model failure and fracture via elasto-plasticity with damage. Material shows elastic behavior until the deformation exceeds a Rankine or von Mises yield criterion, at which point irreversible damage starts to occur. We introduce a softening model that shrinks the yield surface until a damage threshold is reached. Once damaged the material Lame coefficients are modified to represent failure. We design visualization techniques for rendering the boundary of the material and its intersections with evolving crack surfaces. Our approach uses a simple and efficient element splitting strategy for tetrahedron meshes to represent crack surfaces. For traditional particle-based MPM we use an initial Delaunay tetrahedralization to connect randomly initialized MPM particles and form a reference mesh. Our visualization technique is a postprocess and can be run separately after the MPM simulation for efficiency. We demonstrate the strength of our method with a number of challenging simulations of ductile failure with considerable and persistent self contact.Our second contribution is a Material Point Method for visual simulation of baking breads, cookies, pancakes and similar materials. We develop a novel thermomechanical model using mixture theory to resolve interactions between individual water, gas and solid species. Heat transfer with thermal expansion is used to model thermal variations in material properties. Water based mass transfer is resolved through the porous mixture. Gas represents carbon dioxide produced by leavening agents in the baking process, and the solid component is modeled as a visco-elastoplastic material to represent its varied and complex rheological properties. Water content in the mixture reduces during the baking process according to Fick's Law which contributes to the drying and cracking of crust at the material boundary. Carbon dioxide gas produced by leavening agents during baking creates internal pressure that causes rising. The visco-elastoplastic model for the dough is temperature dependent and is used to model melting and solidification. We discretize the governing equations using a novel Material Point Method designed to track the solid phase of the mixture.
590 $a School code: 0031.
650 4 $a Applied mathematics. $3 2122814
650 4 $a Computational physics. $3 3343998
650 4 $a Thermodynamics. $3 517304
650 4 $a Materials science. $3 543314
653 $a Baking
653 $a Computer Graphics
653 $a Fracture
653 $a Material Point Method
653 $a Thermodynamics
690 $a 0364
690 $a 0216
690 $a 0794
690 $a 0348
710 2 $a University of California, Los Angeles. $b Mathematics 0540. $3 2096468
773 0 $t Dissertations Abstracts International $g 81-12B.
790 $a 0031
791 $a Ph.D.
792 $a 2020
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=27996814