On Opening Crack Propagation in Viscoelastic Solids
B. N. J. Persson
Abstract
Abstract We show that the Persson-Brener theory of crack propagation in viscoelastic solids gives a viscoelastic fracture energy factor $$G/G_0 = 1+f$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>G</mml:mi> <mml:mo>/</mml:mo> <mml:msub> <mml:mi>G</mml:mi> <mml:mn>0</mml:mn> </mml:msub> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> <mml:mi>f</mml:mi> </mml:mrow> </mml:math> which is nearly the same as the viscoelastic factor obtained using the cohesive-zone model. We also discuss finite size effects and comment on the use of crack propagation theories for “solids” with a viscoelastic modulus that vanishes at zero frequency. Graphical Abstract
Topics & Concepts
ViscoelasticityMaterials scienceComposite materialAdhesion, Friction, and Surface InteractionsGeotechnical Engineering and Underground StructuresMechanical stress and fatigue analysis