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Origin of rigidity in athermal mater...

Sarkar, Sumantra.

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Origin of rigidity in athermal materials.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Origin of rigidity in athermal materials./
作者:	Sarkar, Sumantra.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2016,
面頁冊數:	123 p.
附註:	Source: Dissertation Abstracts International, Volume: 77-09(E), Section: B.
Contained By:	Dissertation Abstracts International77-09B(E).
標題:	Materials science. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10103425
ISBN:	9781339669915

Origin of rigidity in athermal materials.
Sarkar, Sumantra.

Origin of rigidity in athermal materials. - Ann Arbor : ProQuest Dissertations & Theses, 2016 - 123 p.

Source: Dissertation Abstracts International, Volume: 77-09(E), Section: B.

Thesis (Ph.D.)--Brandeis University, 2016.

Solids are distinguished from fluids by their ability to resist shear. In traditional solids, the resistance to shear is associated with the emergence of broken translational symmetry as exhibited by a non-uniform density pattern, which results from either minimizing the energy cost or maximizing the entropy or both. In this thesis, we focus on a special class of materials where this paradigm is challenged. We argue that the observation of rigidity in dry granular materials, a representative system, is a collective process controlled solely by few constraints, e.g., the boundary stresses, the constraint of force and torque balance, and the positivity of contact forces. We have shown that these constraints lead to a broken translational symmetry in a dual space of heights (loop forces) which leads to the observed rigidity (jamming) in such a system. We investigate the structure and behavior of the dual space through a geometrical construction as the system evolves towards the rigidity transition, commonly known as jamming. In that context, we explore the role of friction in jamming and establish the equivalence of real space and stress space description. We conclude that the role of real space geometry is negligible, and a stress only description is sufficient to understand the phenomenology of jamming.

ISBN: 9781339669915Subjects--Topical Terms:

543314
Materials science.

Origin of rigidity in athermal materials.
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300 $a 123 p.
500 $a Source: Dissertation Abstracts International, Volume: 77-09(E), Section: B.
500 $a Adviser: Bulbul Chakraborty.
502 $a Thesis (Ph.D.)--Brandeis University, 2016.
520 $a Solids are distinguished from fluids by their ability to resist shear. In traditional solids, the resistance to shear is associated with the emergence of broken translational symmetry as exhibited by a non-uniform density pattern, which results from either minimizing the energy cost or maximizing the entropy or both. In this thesis, we focus on a special class of materials where this paradigm is challenged. We argue that the observation of rigidity in dry granular materials, a representative system, is a collective process controlled solely by few constraints, e.g., the boundary stresses, the constraint of force and torque balance, and the positivity of contact forces. We have shown that these constraints lead to a broken translational symmetry in a dual space of heights (loop forces) which leads to the observed rigidity (jamming) in such a system. We investigate the structure and behavior of the dual space through a geometrical construction as the system evolves towards the rigidity transition, commonly known as jamming. In that context, we explore the role of friction in jamming and establish the equivalence of real space and stress space description. We conclude that the role of real space geometry is negligible, and a stress only description is sufficient to understand the phenomenology of jamming.
520 $a In the second half of the thesis, we develop a phenomenological model of the shear induced rigidity in athermal materials. Recent studies of athermal systems such as dry grains and dense, non-Brownian suspensions have shown that shear can lead to solidification through the process of shear jamming in grains and discontinuous shear thickening in suspensions. The similarities observed between these two distinct phenomena suggest that the physical processes leading to shear-induced rigidity in athermal materials are universal. We present a non-equilibrium statistical mechanics model, which exhibits the phenomenology of these shear-driven transitions: shear jamming and discontinuous shear thickening in different regions of the predicted phase diagram. Our analysis identifies the crucial physical processes underlying shear-driven rigidity transitions, and clarifies the distinct roles played by shearing forces and the density of grains.
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