{"title":"Accurate Critical Stress Intensity Factor Griffith Crack Theory Measurements by Numerical Techniques.","authors":"Richard C Petersen","doi":"","DOIUrl":"","url":null,"abstract":"<p><p>Critical stress intensity factor (K<sub>Ic</sub>) has been an approximation for fracture toughness using only load-cell measurements. However, artificial man-made cracks several orders of magnitude longer and wider than natural flaws have required a correction factor term (Y) that can be up to about 3 times the recorded experimental value [1-3]. In fact, over 30 years ago a National Academy of Sciences advisory board stated that empirical K<sub>Ic</sub> testing was of serious concern and further requested that an accurate bulk fracture toughness method be found [4]. Now that fracture toughness can be calculated accurately by numerical integration from the load/deflection curve as resilience, work of fracture (WOF) and strain energy release (S<sub>Ic</sub>) [5, 6], K<sub>Ic</sub> appears to be unnecessary. However, the large body of previous K<sub>Ic</sub> experimental test results found in the literature offer the opportunity for continued meta analysis with other more practical and accurate fracture toughness results using energy methods and numerical integration. Therefore, K<sub>Ic</sub> is derived from the classical Griffith Crack Theory [6] to include S<sub>Ic</sub> as a more accurate term for strain energy release rate (𝒢<sub>Ic</sub>), along with crack surface energy (γ), crack length (a), modulus (E), applied stress (σ), Y, crack-tip plastic zone defect region (r<sub>p</sub>) and yield strength (σ<sub>ys</sub>) that can all be determined from load and deflection data. Polymer matrix discontinuous quartz fiber-reinforced composites to accentuate toughness differences were prepared for flexural mechanical testing comprising of 3 mm fibers at different volume percentages from 0-54.0 vol% and at 28.2 vol% with different fiber lengths from 0.0-6.0 mm. Results provided a new correction factor and regression analyses between several numerical integration fracture toughness test methods to support K<sub>Ic</sub> results. Further, bulk K<sub>Ic</sub> accurate experimental values are compared with empirical test results found in literature. Also, several fracture toughness mechanisms are discussed especially for fiber-reinforced composites.</p>","PeriodicalId":49577,"journal":{"name":"SAMPE Journal","volume":"2013 ","pages":"737-752"},"PeriodicalIF":0.2,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4302413/pdf/nihms648034.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"33327400","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}