Geometry and mechanics of two-dimensional defects in amorphous materials

نتاج البحث: نشر في مجلةمقالةمراجعة النظراء

ملخص

We study the geometry of defects in amorphous materials and their elastic interactions. Defects are defined and characterized by deviations of the material's intrinsic metric from a Euclidian metric. This characterization makes possible the identification of localized defects in amorphous materials, the formulation of a corresponding elastic problem, and its solution in various cases of physical interest. We present a multipole expansion that covers a large family of localized 2D defects. The dipole term, which represents a dislocation, is studied analytically and experimentally. Quadrupoles and higher multipoles correspond to fundamental strain-carrying entities. The interactions between those entities, as well as their interaction with external stress fields, are fundamental to the inelastic behavior of solids. We develop analytical tools to study those interactions. The model, methods, and results presented in this work are all relevant to the study of systems that involve a distribution of localized sources of strain. Examples are plasticity in amorphous materials and mechanical interactions between cells on a flexible substrate.

اللغة الأصليةإنجليزيّة أمريكيّة
الصفحات (من إلى)10873-10878
عدد الصفحات6
دوريةProceedings of the National Academy of Sciences of the United States of America
مستوى الصوت112
رقم الإصدار35
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 1 سبتمبر 2015

All Science Journal Classification (ASJC) codes

  • !!General

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