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Cohesive stresses and size effect in quasi-brittle materials

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Abstract

A novel approach to the derivation of Bažant’s size effect law is presented. Contrarily to the original Lagrangian derivation which hinged on energetic consideration, a Newtonian approach based on local stress intensity factors is presented. Through this approach, it is shown that Bažant’s size effect law is the first (and dominant) term in a series expansion for the nominal stress. Furthermore, analytical expressions forB are derived for selected specimen geometries.

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Saouma, V.E., Natekar, D. Cohesive stresses and size effect in quasi-brittle materials. Sadhana 27, 461–466 (2002). https://doi.org/10.1007/BF02706994

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