Download e-book for kindle: Advances in Soft Matter Mechanics by Prof. Shaofan Li, Prof. Bohua Sun (auth.)

By Prof. Shaofan Li, Prof. Bohua Sun (auth.)

ISBN-10: 3642193722

ISBN-13: 9783642193729

ISBN-10: 3642193730

ISBN-13: 9783642193736

"Advances in delicate topic Mechanics" is a compilation and choice of contemporary works in smooth subject mechanics via a gaggle of lively researchers within the box. the most ambitions of this e-book are first to disseminate the newest advancements in tender subject mechanics within the box of utilized and computational mechanics, and moment to introduce smooth topic mechanics as a sub-discipline of soppy subject physics. As a major department of soppy topic physics, gentle topic mechanics has built quickly lately. the various novel ways mentioned during this ebook are distinct, equivalent to the coarse grained finite aspect technique for modeling colloidal adhesion, entropic elasticity, meshfree simulations of liquid crystal elastomers, simulations of DNA, and so on. The booklet is meant for researchers and graduate scholars within the box of mechanics, condensed topic physics and biomaterials.

Dr. Shaofan Li is a professor of the collage of California-Berkeley, U.S.A; Dr. Bohua sunlight is a professor of Cape Peninsula collage of know-how, South Africa.

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Phil Trans R Soc Lond A, 362: 1317-1334, 2004. [50] Chamekh M, Mani-Aouadi S, Moakher M. Modeling and numerical treatment of elastic rods with frictionless self-contact. Comput Mehtods Appl Mech Eng, 198: 3751-3764, 2009. [51] Coleman B D, Swigon D. Theory of self-contact in Kirchhoff rods with applications to supercoiling of knotted and unknotted DNA plasmids. Phil Trans R Soc Lond A, 362: 1281-1299, 2004. [52] Yang Y, Tobias I, Olson W. Finite element analysis of DNA supercoiling. J Chem Phys, 98: 1673-1686, 1993.

23 Bond angle distribution functions obtained for the DNA molecule with the atomistic and coarse-grained simulations. 5 Characterization of effective non-bonded potential The non-bonded potential of the fine-scale follows Eq. 69), in which the potentials for the short-range repulsive interaction and long-range attractive interaction are obtained separately. 24a shows the short-range radial distribution function of G – C group obtained from the fine-scale atomistic simulation of DNA molecule. The corresponding short-range non-bonded potential, −kB T ln P (R) as the first term of Eq.

For a given surface S with unit normal n, the number of signed crossings through S (flux) can be expressed by m · ndS. 36) S The crossing is defined as being positive as the DNA pierces S in the direction of n, and negative otherwise. For any closed surface S, conservation of mass states that m · ndS = 0. 37) S Consider m to be differentiable, applying divergence operation of Eq. 37) yields ∇ · m = 0. 38) This states that the director field is divergence-free. , f = t · ∇f . 41) where P(a) ≡ I3 − a ⊗ a/|a|2 is the orthogonal projection in the direction of a vector a ∈ R3 .

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Advances in Soft Matter Mechanics by Prof. Shaofan Li, Prof. Bohua Sun (auth.)

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