The variation of the dynamic modulus on crack propagation modes

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dc.contributor.author Papadopoulos, GA en
dc.contributor.author Theocaris, PS en
dc.date.accessioned 2014-03-01T01:07:01Z
dc.date.available 2014-03-01T01:07:01Z
dc.date.issued 1987 en
dc.identifier.issn 0376-9429 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/9745
dc.subject Crack Propagation en
dc.subject Dynamical Processes en
dc.subject Elastic Modulus en
dc.subject Stress Field en
dc.subject Strain Energy Density en
dc.subject.classification Mechanics en
dc.subject.other DYNAMICS en
dc.subject.other FAILURE ANALYSIS en
dc.subject.other STRESSES - Strain en
dc.subject.other CRACK TIP STRESSES en
dc.subject.other STRESS INTENSITY FACTORS en
dc.subject.other MATERIALS en
dc.title The variation of the dynamic modulus on crack propagation modes en
heal.type journalArticle en
heal.identifier.primary 10.1007/BF00015589 en
heal.identifier.secondary http://dx.doi.org/10.1007/BF00015589 en
heal.language English en
heal.publicationDate 1987 en
heal.abstract The variation of the elastic modulus due to the dynamic propagation of a crack and its influence on the instability of this dynamic process was studied, based on the theory of the T-criterion of failure of the material. Conditions for an eventual bifurcation of the moving crack were established according to this criterion. Furthermore, a comparison was undertaken between the results derived from the T-criterion and an improving modification of the S-criterion, called S2-criterion, which was based on the two-term expressions of the elastic stress field around the crack. While in the T-criterion the dilatational strain energy density, Tv, was calculated on the respective Mises elastic plastic boundary where the distortional component of strain energy density was constant, in the S2-criterion the core region was defined by the respective initial curve of the dynamic caustic. It was shown that the changes of the dynamic modulus and Poisson's ratio, depending on the relative crack velocity, were the main factors creating these instability- and bifurcation-phenomena of the moving cracks. Nomograms of the critical relative velocities of bifurcation versus the dynamic modulus and Poisson's ratio were plotted and compared satisfactorily with experimental data. It was indicated that, while the T-criterion gave satisfactory results all over the range of velocities and moduli, the S2-criterion gave comparable results only for brittle or semi-brittle cases. © 1987 Martinus Nijhoff Publishers. en
heal.publisher Martinus Nijhoff, The Hague/Kluwer Academic Publishers en
heal.journalName International Journal of Fracture en
dc.identifier.doi 10.1007/BF00015589 en
dc.identifier.isi ISI:A1987L227400004 en
dc.identifier.volume 35 en
dc.identifier.issue 3 en
dc.identifier.spage 195 en
dc.identifier.epage 219 en

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