A note on crack propagation paths inside elastic bodies

A. M. Khludnev; V. V. Shcherbakov

doi:10.1016/j.aml.2017.11.023

A note on crack propagation paths inside elastic bodies

A. M. Khludnev, V. V. Shcherbakov

Результат исследования: Научные публикации в периодических изданиях › статья

6 Цитирования (Scopus)

Аннотация

The note is concerned with a model of linear elastostatics for a two-dimensional inhomogeneous anisotropic body weakened by a single straight crack. On the crack faces, nonpenetration conditions/Signorini conditions are imposed. Relying upon a higher regularity result in Besov spaces for the displacement field in a neighborhood of the crack tip, we prove that the energy release rate is actually independent of the choice of a subsequent crack path (among the possible continuations of class H³).

Язык оригинала	английский
Страницы (с-по)	80-84
Число страниц	5
Журнал	Applied Mathematics Letters
Том	79
DOI	https://doi.org/10.1016/j.aml.2017.11.023
Состояние	Опубликовано - 1 мая 2018

Доступ к документу

10.1016/j.aml.2017.11.023

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KW - Variational inequality

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