{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,7]],"date-time":"2026-07-07T05:28:16Z","timestamp":1783402096622,"version":"3.54.6"},"reference-count":39,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,1,11]],"date-time":"2023-01-11T00:00:00Z","timestamp":1673395200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"the National Natural Science Foundation of China","award":["11972100"],"award-info":[{"award-number":["11972100"]}]},{"name":"the National Natural Science Foundation of China","award":["11602043"],"award-info":[{"award-number":["11602043"]}]},{"name":"the National Natural Science Foundation of China","award":["5180040902"],"award-info":[{"award-number":["5180040902"]}]},{"name":"the National Natural Science Foundation of China","award":["CSTB2022NSCQ-MSX0640"],"award-info":[{"award-number":["CSTB2022NSCQ-MSX0640"]}]},{"name":"the National Science Foundation Project of Chongqing CSTC","award":["11972100"],"award-info":[{"award-number":["11972100"]}]},{"name":"the National Science Foundation Project of Chongqing CSTC","award":["11602043"],"award-info":[{"award-number":["11602043"]}]},{"name":"the National Science Foundation Project of Chongqing CSTC","award":["5180040902"],"award-info":[{"award-number":["5180040902"]}]},{"name":"the National Science Foundation Project of Chongqing CSTC","award":["CSTB2022NSCQ-MSX0640"],"award-info":[{"award-number":["CSTB2022NSCQ-MSX0640"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Materials"],"abstract":"<jats:p>Compared with single-phase ceramics, the thermal shock crack propagation mechanism of multiphase layered ceramics is more complex. There is no experimental method and theoretical framework that can fully reveal the thermal shock damage mechanism of ceramic materials. Therefore, a multiphase phase-field fracture model including the temperature dependence of material for thermal shock-induced fracture of multilayer ceramics is established. In this study, the effects of residual stress on the crack propagation of ATZ (Al2O3-5%tZrO2)\/AMZ (Al2O3-30%mZrO2) layered ceramics with different layer thickness ratios, layers, and initial temperatures under bending and thermal shock were investigated. Simulation results of the fracture phase field under four-point bending are in good agreement with the experimental results, and the crack propagation shows a step shape, which verifies the effectiveness of the proposed method. With constant thickness, high-strength compressive stress positively changes with the layer thickness ratio, which contributes to crack deflection. The cracks of the ceramic material under thermal shock have hierarchy and regularity. When the layer thickness ratio is constant, the compressive residual stress decreases with the increase in the layer number, and the degree of thermal shock crack deflection decreases.<\/jats:p>","DOI":"10.3390\/ma16020734","type":"journal-article","created":{"date-parts":[[2023,1,12]],"date-time":"2023-01-12T03:47:01Z","timestamp":1673495221000},"page":"734","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Phase-Field Simulation of Temperature-Dependent Thermal Shock Fracture of Al2O3\/ZrO2 Multilayer Ceramics with Phase Transition Residual Stress"],"prefix":"10.3390","volume":"16","author":[{"given":"Yong","family":"Pang","sequence":"first","affiliation":[{"name":"School of Civil Engineering and Architecture, Chongqing University of Science and Technology, Chongqing 401331, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Dingyu","family":"Li","sequence":"additional","affiliation":[{"name":"School of Civil Engineering and Architecture, Chongqing University of Science and Technology, Chongqing 401331, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xin","family":"Li","sequence":"additional","affiliation":[{"name":"School of Civil Engineering and Architecture, Chongqing University of Science and Technology, Chongqing 401331, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ruzhuan","family":"Wang","sequence":"additional","affiliation":[{"name":"Chongqing Key Laboratory of Nano-Micro Composite Materials and Devices, School of Metallurgy and Materials Engineering, Chongqing University of Science and Technology, Chongqing 401331, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiang","family":"Ao","sequence":"additional","affiliation":[{"name":"College of Petroleum and Natural Gas Engineering, Chongqing University of Science and Technology, Chongqing 401331, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1655","DOI":"10.1016\/S1359-6454(00)00011-2","article-title":"Analysis and prediction of thermal shock in brittle materials","volume":"48","author":"Collin","year":"2000","journal-title":"Acta Mater."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"112428","DOI":"10.1016\/j.compstruct.2020.112428","article-title":"FEM simulation on impact resistance of surface gradient and periodic layered bionic composites","volume":"247","author":"Wei","year":"2020","journal-title":"Compos. 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