Elastic interactions between two-dimensional geometric defects

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Michael MosheRaz Kupferman

Abstract

In this paper, we introduce a methodology applicable to a wide range of localized two-dimensional sources of stress. This methodology is based on a geometric formulation of elasticity. Localized sources of stress are viewed as singular defects-point charges of the curvature associated with a reference metric. The stress field in the presence of defects can be solved using a scalar stress function that generalizes the classical Airy stress function to the case of materials with nontrivial geometry. This approach allows the calculation of interaction energies between various types of defects. We apply our methodology to two physical systems: shear-induced failure of amorphous materials and the mechanical interaction between contracting cells.

References

Mar 10, 2012·Physical Review Letters·Ratul DasguptaItamar Procaccia
Feb 2, 2013·Physical Review Letters·Ratul DasguptaItamar Procaccia
Jul 19, 2013·Current Opinion in Cell Biology·Enas Abu Shah, Kinneret Keren
Aug 12, 2015·Proceedings of the National Academy of Sciences of the United States of America·Michael MosheEran Sharon

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Citations

Jun 20, 2019·Physical Review. E·Lev Truskinovsky, Giuseppe Zurlo
Jun 18, 2017·Physical Review. E·Oz Oshri, Haim Diamant
Feb 20, 2019·Physical Review. E·Michael MosheMark J Bowick
Oct 1, 2016·Physical Review Letters·Hillel AharoniEran Sharon
Feb 16, 2019·Physical Review Letters·Michael MosheMark J Bowick
Jul 25, 2019·Physical Review. E·Siyu LiAlex Travesset
Nov 9, 2019·Physical Review Letters·Siyu LiGregory M Grason
May 20, 2020·Physical Review. E·Eric De Giuli

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