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- W2299018004 abstract "A mathematical model of a semi-infinite mode I crack that suddenly begins to propagate at constant speed is constructed for a general linear viscoelastic body. Expressions for the Laplace transform of the stress, displacement, and stress intensity factor are derived for general loadings. A Barenblatt type process zone is incorporated into the model and used to determine the total energy flux into the crack tip. This energy release rate, <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper G left-parenthesis t right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>G</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> <mml:annotation encoding=application/x-tex>Gleft ( t right )</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, is constructed for two specific loadings: one following the advancing crack tip, the second remaining fixed as the crack tip advances. In each case <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper G left-parenthesis t right-parenthesis> <mml:semantics> <mml:mrow> <mml:mi>G</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>t</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> <mml:annotation encoding=application/x-tex>Gleft ( t right )</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is analyzed by asymptotic and numerical methods to determine its qualitative form and, in particular its rate of decay to its steady-state value. The effect of such simplifying assumptions as quasi-static propagation or an elastic material is also illustrated. The second loading is intended as an idealized model of the dynamic fracture experiments of Ravi-Chandar and Knauss [13–16]." @default.
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- W2299018004 date "1994-01-01" @default.
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- W2299018004 title "The energy release rate for transient dynamic mode 𝐼 crack propagation in a general linearly viscoelastic body" @default.
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- W2299018004 doi "https://doi.org/10.1090/qam/1276234" @default.
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