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As part of an effort to predict wrinkling of carbon-fiber tows during automated fiber placement the cohesive zone traction separation relations for two carbon fiber epoxy prepreg tows are quantified for Mode I and Mode II loading using a rigid double cantilever beam RDCB specimen An explicit expression for normal traction versus normal separation vs n documentclass 12pt minimal usepackage amsmath usepackage wasysym usepackage amsfonts usepackage amssymb usepackage amsbsy usepackage mathrsfs usepackage upgreek setlength oddsidemargin -69pt begin document upsigma hbox vs updelta mathrm n end document and tangential traction versus tangential separation vs t documentclass 12pt minimal usepackage amsmath usepackage wasysym usepackage amsfonts usepackage amssymb usepackage amsbsy usepackage mathrsfs usepackage upgreek setlength oddsidemargin -69pt begin document tau hbox vs updelta mathrm t end document are derived using static equilibrium equations for an RDCB considering a compressive zone ahead of the process zone The traction separation relationships are in term of quantities that can be measured using a full field measurement technique StereoDIC The baseline traction separation relationships in this work are obtained using conditions representative of those experienced by an uncured tow undergoing automated fiber placement AFP onto a substrate of a similar material with layup temperature T 40 C documentclass 12pt minimal usepackage amsmath usepackage wasysym usepackage amsfonts usepackage amssymb usepackage amsbsy usepackage mathrsfs usepackage upgreek setlength oddsidemargin -69pt begin document hbox T 40 circ hbox C end document pressure p 1 MPa and contact time t 1 s The RDCB specimen is loaded in displacement control at a constant load line displacement rate of 0 3 mm min Speckle images for StereoDIC are captured using stereo vision systems equipped for capturing images of the RDCB specimen with a field of view of 100mm 75mm documentclass 12pt minimal usepackage amsmath usepackage wasysym usepackage amsfonts usepackage amssymb usepackage amsbsy usepackage mathrsfs usepackage upgreek setlength oddsidemargin -69pt begin document 100 hbox mm times 75 hbox mm end document Analysis of the data obtained for Mode I and Mode II loading shows that the Mode I energy release rate GI 120J m2 documentclass 12pt minimal usepackage amsmath usepackage wasysym usepackage amsfonts usepackage amssymb usepackage amsbsy usepackage mathrsfs usepackage upgreek setlength oddsidemargin -69pt begin document varvec mathscr G mathrm I 120 hbox J hbox m 2 end document and Mode II energy release rate GII 255J m2 documentclass 12pt minimal usepackage amsmath usepackage wasysym usepackage amsfonts usepackage amssymb usepackage amsbsy usepackage mathrsfs usepackage upgreek setlength oddsidemargin -69pt begin document varvec mathscr G mathrm II 255 hbox J hbox m 2 end document with the maximum normal traction max 0 50MPa documentclass 12pt minimal usepackage amsmath usepackage wasysym usepackage amsfonts usepackage amssymb usepackage amsbsy usepackage mathrsfs usepackage upgreek setlength oddsidemargin -69pt begin document varvec upsigma mathrm mathrm max 0 50 hbox MPa end document and the maximum shear traction max 0 35MPa documentclass 12pt minimal usepackage amsmath usepackage wasysym usepackage amsfonts usepackage amssymb usepackage amsbsy usepackage mathrsfs usepackage upgreek setlength oddsidemargin -69pt begin document varvec tau mathrm mathrm max 0 35 hbox MPa end document

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Characterization of Mode I and Mode II traction–separation laws for cohesive separation of uncured thermoset tows

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with CZM traction–separation law as keyword