Monthly Archives: October 2016


日時: 平成28年11月8日(火) 16:00-17:00
場所: 京都大学 桂キャンパスCクラスタ総合研究棟III(C3棟) 3階 b3n03室(航空宇宙工学専攻会議室)
講演: Elastic mechanical response of amorphous solids
Prof. Hideyuki Mizuno (Department of Basic Science, University of Tokyo, Japan)
水野 英如 助教 (東京大学 大学院総合文化研究科 広域科学専攻 相関基礎科学系
要旨: While the classical theory of linear elasticity of solids is based on the concept of affineness, which is applicable to ordered crystalline materials whereby the constituent particles follow the imposed, homogeneous, affine deformation field. For amorphous materials, the particles also undergo inhomogeneous, non-affine displacements, which influence their mechanical response. To correctly understand the elastic modulus of amorphous materials, it is therefore necessary to take into account not only the affine component of the modulus, but also the non-affine component, that arises from energy relaxation during these non-affine deformations. In the present work, we execute a comprehensive analysis on the non-affine component, in static jammed amorphous packings of mono-disperse, deformable, frictionless spheres, which is directly related to the vibrational eigen modes of the system. We also elucidate the contribution of each vibrational mode to the non-affine modulus, which is achieved through an eigen-mode decomposition analysis.

Reference: H. Mizuno, K. Saitoh, and L. E. Silbert, Physical Review E 93, 062905 (2016).