Nucleation of cracks near the free surface in deformed metallic nanomaterials with a bimodal structure


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Abstract

A theoretical model that effectively describes the nucleation of cracks in stress fields of dislocation pile-ups near the free surface in metallic nanomaterials with a bimodal structure has been developed. The dependences of the critical shear stress τc (for the formation of a crack with an equilibrium length of 10 nm on a dislocation pile-up near the surface) on the size d of a grain containing the dislocation pile-up have been calculated for copper with a bimodal structure. Theoretically, it has been found that the critical shear stress τc for the nucleation of a crack near the free surface in a nanomaterial with a bimodal structure is approximately 30% higher than that for the crack nucleation within the nanomaterial at a distance from the free surface.

About the authors

I. A. Ovid’ko

Research Laboratory “Mechanics of New Nanomaterials,”; Institute of Problems of Mechanical Engineering; St. Petersburg State University

Author for correspondence.
Email: ovidko@nano.ipme.ru
Russian Federation, Politekhnicheskaya ul. 29, St. Petersburg, 195251; Bolshoi pr. 61, St. Petersburg, 199178; Universitetskaya nab. 7–9, St. Petersburg, 199034

A. G. Sheinerman

Research Laboratory “Mechanics of New Nanomaterials,”; Institute of Problems of Mechanical Engineering; St. Petersburg State University

Email: ovidko@nano.ipme.ru
Russian Federation, Politekhnicheskaya ul. 29, St. Petersburg, 195251; Bolshoi pr. 61, St. Petersburg, 199178; Universitetskaya nab. 7–9, St. Petersburg, 199034

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