{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,24]],"date-time":"2026-01-24T02:58:31Z","timestamp":1769223511272,"version":"3.49.0"},"reference-count":24,"publisher":"MDPI AG","issue":"19","license":[{"start":{"date-parts":[[2020,9,27]],"date-time":"2020-09-27T00:00:00Z","timestamp":1601164800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["NS2019038"],"award-info":[{"award-number":["NS2019038"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Materials"],"abstract":"<jats:p>Evolution of damage and fracture behavior of fiber-reinforced mini ceramic-matrix composites (mini-CMCs) under tensile load are related to internal multiple damage mechanisms, i.e., fragmentation of the brittle matrix, crack defection, and fibers fracture and pullout. In this paper, considering multiple micro internal damage mechanisms and related models, a micromechanical constitutive stress\u2013strain relationship model is developed to predict the nonlinear mechanical behavior of mini-CMCs under tensile load corresponding to different damage domains. Relationships between multiple micro internal damage mechanisms mentioned above and tensile micromechanical multiple damage parameters are established. Experimental tensile nonlinear behavior, internal damage evolution, and micromechanical tensile damage parameters corresponding to different damage domains of two different types of mini-CMCs are predicted. The effects of constitutive properties and damage-related parameters on nonlinear behavior of mini-CMCs are discussed.<\/jats:p>","DOI":"10.3390\/ma13194313","type":"journal-article","created":{"date-parts":[[2020,9,28]],"date-time":"2020-09-28T08:02:58Z","timestamp":1601280178000},"page":"4313","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Modeling Tensile Damage and Fracture Behavior of Fiber-Reinforced Ceramic-Matrix Minicomposites"],"prefix":"10.3390","volume":"13","author":[{"given":"Zhongwei","family":"Zhang","sequence":"first","affiliation":[{"name":"Institute of Advanced Structure Technology, Beijing Institute of Technology, Beijing 100081, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yufeng","family":"Liu","sequence":"additional","affiliation":[{"name":"Science and Technology of Advanced Functional Composite Materials Laboratory, Aerospace Research Institute of Materials &amp; Processing Technology, Beijing 100076, China"},{"name":"Powder Metallurgy Research Institute, Central South University, Changsha 410083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7689-2098","authenticated-orcid":false,"given":"Longbiao","family":"Li","sequence":"additional","affiliation":[{"name":"College of Civil Aviation, Nanjing University of Aeronautics and Astronautics, No.29, Yudao St., Nanjing 210016, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Daining","family":"Fang","sequence":"additional","affiliation":[{"name":"Institute of Advanced Structure Technology, Beijing Institute of Technology, Beijing 100081, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,9,27]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"280","DOI":"10.1126\/science.1068609","article-title":"Thermal barrier coatings for gas-turbine engine applications","volume":"296","author":"Padture","year":"2002","journal-title":"Science"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1111\/j.1744-7402.2005.02009.x","article-title":"SiC-matrix composites: Nonbrittle ceramics for thermo-structural application","volume":"2","author":"Naslain","year":"2005","journal-title":"Int. J. Appl. Ceram. Technol."},{"key":"ref_3","first-page":"22","article-title":"Ceramic-matrix composites enable revolutionary gains in turbine efficiency","volume":"95","author":"Zok","year":"2016","journal-title":"Am. Ceram. Soc. Bull."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Li, L.B. (2018). Damage, Fracture and Fatigue of Ceramic-Matrix Composites, Springer Nature Singapore Pte Ltd.","DOI":"10.1007\/978-981-13-1783-5"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1083","DOI":"10.1111\/j.1151-2916.1996.tb08551.x","article-title":"Determination of interfacial properties using a single-fiber microcomposite test","volume":"79","author":"Morscher","year":"1996","journal-title":"J. Am. Ceram. Soc."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1726","DOI":"10.1111\/j.1551-2916.2004.01726.x","article-title":"Tensile and stress-rupture behavior of SiC\/SiC minicomposite containing chemically vapor deposited zirconia interphase","volume":"87","author":"Li","year":"2004","journal-title":"J. Am. Ceram. Soc."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"320","DOI":"10.1016\/j.matdes.2012.07.073","article-title":"Mechanical behavior of SiCf\/SiC composites with alternating PyC\/SiC multilayer interphases","volume":"44","author":"Yu","year":"2013","journal-title":"Mater. Des."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1110","DOI":"10.1111\/ijac.12898","article-title":"A comparative study on Cf\/PyC\/SiC minicomposites prepared via CVI process for hypersonic engine application","volume":"15","author":"Krishnan","year":"2018","journal-title":"Int. J. Appl. Ceram. Technol."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1111\/j.1151-2916.2000.tb01213.x","article-title":"Tensile fracture behavior and strength of surface-modified SiTiCO fiber SiC-matrix minicomposites fabricated by the PIP process","volume":"83","author":"Mamiya","year":"2000","journal-title":"J. Am. Ceram. Soc."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"2627","DOI":"10.1016\/S0955-2219(00)00138-2","article-title":"Room and elevated temperature tensile properties of single tow Hi-Nicalon, carbon interphase, CVI SiC matrix minicomposites","volume":"20","author":"Morscher","year":"2000","journal-title":"J. Eur. Ceram. Soc."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"916","DOI":"10.1016\/j.compscitech.2011.02.008","article-title":"In situ X-ray microtomography characterization of damage in SiC\/SiC minicomposites","volume":"71","author":"Chateau","year":"2011","journal-title":"Compos. Sci. Technol."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"8","DOI":"10.1016\/j.compositesa.2013.10.010","article-title":"Damage monitoring and identification in SiC\/SiC minicomposites using combined acousto-ultrasonics and acoustic emission","volume":"57","author":"Maillet","year":"2014","journal-title":"Compos. Part A"},{"key":"ref_13","unstructured":"Almansour, A.S. (2017). Use of Single-Tow Ceramic Matrix Minicomposites to Determine Fundamental Room and Elevated Temperature Properties. [Ph.D. Thesis, University of Akron]."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"372","DOI":"10.13168\/cs.2017.0037","article-title":"Prediction of the mechanical behavior of a minicomposite based on grey Verhulst models","volume":"61","author":"Wang","year":"2017","journal-title":"Ceram. Silik."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1016\/j.matdes.2016.03.166","article-title":"Strength model of the matrix element in SiC\/SiC composites","volume":"101","author":"Zhang","year":"2016","journal-title":"Mater. Des."},{"key":"ref_16","first-page":"341","article-title":"Effect of micro-damage on the nonlinear constitutive behavior of SiC\/SiC minicomposites","volume":"7","author":"Zhang","year":"2016","journal-title":"J. Ceram. Sci. Technol."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/j.compositesa.2003.09.005","article-title":"Residual strength of PIP-processed SiC\/SiC single-tow minicomposite exposed at high temperatures in air as a function of exposure temperature and time","volume":"35","author":"Ochiai","year":"2004","journal-title":"Compos. Part A"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1016\/j.msea.2018.12.118","article-title":"Effect of heat treatment on the microstructure and mechanical behavior of SiC\/SiC mini-composites","volume":"746","author":"Han","year":"2019","journal-title":"Mater. Sci. Eng. A"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"2349","DOI":"10.1016\/S0955-2219(02)00028-6","article-title":"Tensile fracture behavior of continuous SiC fiber-reinforced SiC matrix composites at elevated temperatures and correlation to in situ constituent properties","volume":"22","author":"Guo","year":"2002","journal-title":"J. Eur. Ceram. Soc."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1281","DOI":"10.1016\/j.jeurceramsoc.2016.11.011","article-title":"Tensile behavior of 2D-C\/SiC composites at elevated temperatures: Experiment and modeling","volume":"37","author":"Yang","year":"2017","journal-title":"J. Eur. Ceram. Soc."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1111\/ijac.13068","article-title":"Modeling matrix multicracking development of fiber-reinforced ceramic-matrix composites considering fiber debonding","volume":"16","author":"Li","year":"2019","journal-title":"Int. J. Appl. Ceram. Technol."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1369","DOI":"10.1016\/0956-7151(93)90246-O","article-title":"Multiple matrix cracking in brittle matrix composites","volume":"41","author":"Curtin","year":"1993","journal-title":"Acta Met. Mater."},{"key":"ref_23","first-page":"550","article-title":"Fracture of fiber-reinforced materials","volume":"39","author":"Gao","year":"1988","journal-title":"J. Appl. Math. Phys."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"2837","DOI":"10.1111\/j.1151-2916.1991.tb06852.x","article-title":"Theory of mechanical properties of ceramic-matrix composites","volume":"74","author":"Curtin","year":"1991","journal-title":"J. Am. Ceram. Soc."}],"container-title":["Materials"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1996-1944\/13\/19\/4313\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:14:13Z","timestamp":1760177653000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1996-1944\/13\/19\/4313"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,9,27]]},"references-count":24,"journal-issue":{"issue":"19","published-online":{"date-parts":[[2020,10]]}},"alternative-id":["ma13194313"],"URL":"https:\/\/doi.org\/10.3390\/ma13194313","relation":{},"ISSN":["1996-1944"],"issn-type":[{"value":"1996-1944","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,9,27]]}}}