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The modified brazilian geometry was used to initiate and propagate a pure mode I crack. The specimen was compressed using the Split Hopkinson bars at strain rates of the order of \n \n $$10^2$$<\/jats:tex-math>\n \n \n 10<\/mml:mn>\n 2<\/mml:mn>\n <\/mml:msup>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>\u00a0s\n \n $$^{-1}$$<\/jats:tex-math>\n \n \n \n \n \n -<\/mml:mo>\n 1<\/mml:mn>\n <\/mml:mrow>\n <\/mml:mmultiscripts>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>. Main cracks were isolated for four different grades of \n \n $$Al_2O_3$$<\/jats:tex-math>\n \n \n A<\/mml:mi>\n \n l<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msub>\n \n O<\/mml:mi>\n 3<\/mml:mn>\n <\/mml:msub>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula>, one dense alumina, and three porous grades with \n \n $$20~\\%$$<\/jats:tex-math>\n \n \n 20<\/mml:mn>\n \n %<\/mml:mo>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula> to \n \n $$60~\\%$$<\/jats:tex-math>\n \n \n 60<\/mml:mn>\n \n %<\/mml:mo>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula> porosity. The maximum measured crack velocities for three grades is of the order of \n \n $$0.6c_R$$<\/jats:tex-math>\n \n \n 0.6<\/mml:mn>\n \n c<\/mml:mi>\n R<\/mml:mi>\n <\/mml:msub>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula> and \n \n $$0.4c_R$$<\/jats:tex-math>\n \n \n 0.4<\/mml:mn>\n \n c<\/mml:mi>\n R<\/mml:mi>\n <\/mml:msub>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula> for the most porous. The fracture energy was estimated using a FE numerical simulation to quantify the influence of inertial effects induced by crack propagation. The results show that these inertial effects are far from negligible (up to \n \n $$80~\\%$$<\/jats:tex-math>\n \n \n 80<\/mml:mn>\n \n %<\/mml:mo>\n <\/mml:mrow>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula> of the stored energy) and that the dynamic correction factors known from the literature tend to overestimate the fracture energy. The values obtained vary from 22\u00a0J\/m\n \n $$^2$$<\/jats:tex-math>\n \n \n \n \n 2<\/mml:mn>\n <\/mml:mmultiscripts>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula> for the densest to 5\u00a0J\/m\n \n $$^2$$<\/jats:tex-math>\n \n \n \n \n 2<\/mml:mn>\n <\/mml:mmultiscripts>\n <\/mml:math>\n <\/jats:alternatives>\n <\/jats:inline-formula> for the most porous.<\/jats:p>","DOI":"10.1007\/s10704-024-00816-0","type":"journal-article","created":{"date-parts":[[2025,1,13]],"date-time":"2025-01-13T15:17:38Z","timestamp":1736781458000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["In situ characterisation of dynamic fracture in $$Al_2O_3$$ using ultra-fast X-ray phase contrast radioscopy: effects of porosity and crack speed"],"prefix":"10.1007","volume":"249","author":[{"given":"Q.","family":"Henry","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"J.-B.","family":"Kopp","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"L.","family":"Le Barbenchon","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"J.","family":"Girardot","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"B.","family":"Luki\u0107","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"Cohen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"Cosculluela","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"P.","family":"Viot","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2025,1,13]]},"reference":[{"key":"816_CR1","doi-asserted-by":"crossref","DOI":"10.1201\/9781315370293","volume-title":"Fracture mechanics: fundamentals and applications","author":"TL Anderson","year":"2017","unstructured":"Anderson TL (2017) Fracture mechanics: fundamentals and applications. 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