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020 ▼a 9781085776936
035 ▼a (MiAaPQ)AAI13809457
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 531
1001 ▼a Bergel, Guy Leshem.
24510 ▼a A Finite Element Method for Modeling Surface Growth and Resorption of Deformable Bodies with Applications to Cell Migration.
260 ▼a [S.l.]: ▼b University of California, Berkeley., ▼c 2019.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2019.
300 ▼a 117 p.
500 ▼a Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
500 ▼a Advisor: Papadopoulos, Panayiotis
5021 ▼a Thesis (Ph.D.)--University of California, Berkeley, 2019.
506 ▼a This item must not be sold to any third party vendors.
520 ▼a Surface growth/resorption is the process wherein material is added to or removed from the boundary of a physical body. As a consequence, the set of material points constituting the body is time-dependent and thus lacks a static reference configuration. In this dissertation, kinematics and balance laws are formulated for a body undergoing surface growth/resorption and finite deformation. This is achieved by defining an evolving reference configuration termed the intermediate configuration which tracks the set of material points constituting the body at a given time.An extension of the Arbitrary Lagrangian-Eulerian finite element method is introduced to solve the discretized set of balance laws on the grown/resorpted body, alongside algorithmic implementations to track the evolving boundary of the physical body. The effect of accreting material with no prior history of deformation onto a body undergoing rigid motions as well as a loaded body is discussed. Moreover, the correlation between growth/resorption rate and the spatial and temporal convergence of the finite element approximations of fields are illustrated.The numerical implementation for surface growth and resorption is used to simulate a migrating cell which moves in an apparent "treadmilling" motion on a substrate by polymerizing and de-polymerizing microfilaments along its boundary. An example is presented which defines a surface growth law based on the nucleation and dissociation of chemical species, and the steady-state treadmilling velocity is computed for various assumed cell shapes. Lastly, simulation results are shown for an idealized cell colliding with external barriers, leading to a re-orientation of the surface growth/resorption direction. The effects of dynamic contact on the surface growth/resorption as well as the stress and deformation are discussed.
590 ▼a School code: 0028.
650 4 ▼a Civil engineering.
650 4 ▼a Mechanical engineering.
650 4 ▼a Mechanics.
690 ▼a 0543
690 ▼a 0548
690 ▼a 0346
71020 ▼a University of California, Berkeley. ▼b Civil and Environmental Engineering.
7730 ▼t Dissertations Abstracts International ▼g 81-04B.
773 ▼t Dissertation Abstract International
790 ▼a 0028
791 ▼a Ph.D.
792 ▼a 2019
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15490596 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 202002 ▼f 2020
990 ▼a ***1816162
991 ▼a E-BOOK