Gradient elasticity for disclinated micro crystals

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© 2017 This article, dedicated to the memory of Gérard Maugin, can be considered as an outgrowth of a series of papers on gradient elasticity jointly published by him, the third author and their collaborators. It focuses on the use of nonsingular solutions for describing stress relaxation in disclinated microcrystals (DMCs) of pentagonal symmetry, fabricated by electrodeposition. This is an important area of current experimental and theoretical activity since such internally stressed DMCs are also characterized by extended surface (large surface to volume ratio) and have been shown to accelerate chemical reactions and purification processes. Previous theoretical models based on classical elasticity exhibit certain undesirable features due to singularities. Some of them are revisited here by eliminating disclination singularities through gradient elasticity.

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Mechanics Research Communications