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Cavitation: Testing the Eulerian and Lagrangian Descriptions of the Dynamics of Soft Materials
Cavitation: Testing the Eulerian and Lagrangian Descriptions of the Dynamics of Soft Mater...
Cavitation: Testing the Eulerian and Lagrangian Descriptions of the Dynamics of Soft Materials

상세정보

자료유형  
 학위논문 서양
최종처리일시  
20250211152833
ISBN  
9798384081272
DDC  
530
저자명  
Little, Justin Gabriel.
서명/저자  
Cavitation: Testing the Eulerian and Lagrangian Descriptions of the Dynamics of Soft Materials
발행사항  
[Sl] : University of California, Los Angeles, 2024
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2024
형태사항  
119 p
주기사항  
Source: Dissertations Abstracts International, Volume: 86-03, Section: B.
주기사항  
Advisor: Bruinsma, Robijn F.
학위논문주기  
Thesis (Ph.D.)--University of California, Los Angeles, 2024.
초록/해제  
요약The systems encountered in biophysics typically straddle the line between solid and fluid, and are thus subject to large deformations even at modest stress values. This, along with the presence of material properties such as visco-elasticity and strain hardening, necessitate the use of non-linear elasticity when describing the physics of these systems. In this dissertation, we explore the use of non-linear elasticity theory in describing soft matter physics, with a focus on the specific example of cavitation in polymer gels and similar systems.We first look at cavitation in the context of equilibrium mechanics. In simple materials that obey neo-Hookean elasticity, we show that compressibility effects strongly enhance cavitation. On the other hand, cavitation phenomena in gels of flexible polymers in a binary solvent that phase separates are surprisingly similar to those of incompressible materials. We find that, as a function of the interfacial energy between the two solvent components, there is a sharp transition between cavitation and classical nucleation-and-growth. Finally, biopolymer gels are characterized by strain hardening, and even very low levels of strain hardening are shown to suppress cavitation in polymer gel that obey Flory-Huggins theory in the absence of strain hardening.Next, we explore the dynamics of cavitation in non-linear incompressible materials. We find that, while purely elastic systems can be described entirely within either a Lagrangian or Eulerian frame of reference, and viscous fluids with no elasticity can be described entirely within an Eulerian frame, visco-elastic materials such a Maxwell materials cannot be fully described without making use both frames, translating between the two using a known deformation mapping. 
일반주제명  
Physics
일반주제명  
Condensed matter physics
일반주제명  
Materials science
일반주제명  
Mechanics
일반주제명  
Biophysics
키워드  
Cavitation
키워드  
Elasticity
키워드  
Gels
키워드  
Soft matter
키워드  
Incompressible materials
기타저자  
University of California, Los Angeles Physics 0666
기본자료저록  
Dissertations Abstracts International. 86-03B.
전자적 위치 및 접속  
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MARC

 008250123s2024        us                              c    eng  d
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■00520250211152833
■006m          o    d                
■007cr#unu||||||||
■020    ▼a9798384081272
■035    ▼a(MiAaPQ)AAI31560852
■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a530
■1001  ▼aLittle,  Justin  Gabriel.
■24510▼aCavitation:  Testing  the  Eulerian  and  Lagrangian  Descriptions  of  the  Dynamics  of  Soft  Materials
■260    ▼a[Sl]▼bUniversity  of  California,  Los  Angeles▼c2024
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2024
■300    ▼a119  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  86-03,  Section:  B.
■500    ▼aAdvisor:  Bruinsma,  Robijn  F.
■5021  ▼aThesis  (Ph.D.)--University  of  California,  Los  Angeles,  2024.
■520    ▼aThe  systems  encountered  in  biophysics  typically  straddle  the  line  between  solid  and  fluid,  and  are  thus  subject  to  large  deformations  even  at  modest  stress  values.  This,  along  with  the  presence  of  material  properties  such  as  visco-elasticity  and  strain  hardening,  necessitate  the  use  of  non-linear  elasticity  when  describing  the  physics  of  these  systems.  In  this  dissertation,  we  explore  the  use  of  non-linear  elasticity  theory  in  describing  soft  matter  physics,  with  a  focus  on  the  specific  example  of  cavitation  in  polymer  gels  and  similar  systems.We  first  look  at  cavitation  in  the  context  of  equilibrium  mechanics.  In  simple  materials  that  obey  neo-Hookean  elasticity,  we  show  that  compressibility  effects  strongly  enhance  cavitation.  On  the  other  hand,  cavitation  phenomena  in  gels  of  flexible  polymers  in  a  binary  solvent  that  phase  separates  are  surprisingly  similar  to  those  of  incompressible  materials.  We  find  that,  as  a  function  of  the  interfacial  energy  between  the  two  solvent  components,  there  is  a  sharp  transition  between  cavitation  and  classical  nucleation-and-growth.  Finally,  biopolymer  gels  are  characterized  by  strain  hardening,  and  even  very  low  levels  of  strain  hardening  are  shown  to  suppress  cavitation  in  polymer  gel  that  obey  Flory-Huggins  theory  in  the  absence  of  strain  hardening.Next,  we  explore  the  dynamics  of  cavitation  in  non-linear  incompressible  materials.  We  find  that,  while  purely  elastic  systems  can  be  described  entirely  within  either  a  Lagrangian  or  Eulerian  frame  of  reference,  and  viscous  fluids  with  no  elasticity  can  be  described  entirely  within  an  Eulerian  frame,  visco-elastic  materials  such  a  Maxwell  materials  cannot  be  fully  described  without  making  use  both  frames,  translating  between  the  two  using  a  known  deformation  mapping. 
■590    ▼aSchool  code:  0031.
■650  4▼aPhysics
■650  4▼aCondensed  matter  physics
■650  4▼aMaterials  science
■650  4▼aMechanics
■650  4▼aBiophysics
■653    ▼aCavitation
■653    ▼aElasticity
■653    ▼aGels
■653    ▼aSoft  matter
■653    ▼aIncompressible  materials
■690    ▼a0605
■690    ▼a0346
■690    ▼a0786
■690    ▼a0794
■690    ▼a0611
■71020▼aUniversity  of  California,  Los  Angeles▼bPhysics  0666.
■7730  ▼tDissertations  Abstracts  International▼g86-03B.
■790    ▼a0031
■791    ▼aPh.D.
■792    ▼a2024
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17164113▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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