Erratum: “Plane-Strain Propagation of a Fluid-Driven Fracture: Small Toughness Solution” [Journal of Applied Mechanics, 2005, 72(6), pp. 916–928]

Abstract

Equations 28,35,47,16, and expression for Π1 in Appendix D in the published paper contain typographical errors. The corrected equations are written as follows: Display FormulaK̂=(23)−1∕3γ−1∕2K (28) Display Formulaε̂=E′μ′vtipK′2 (35b) Display FormulaE(K)=B1Kb=(23)1∕3β1K̂b (47) Display FormulaΩ̂0(ξ̂)=ξ̂1∕2+F00(ξ̂)+4π∑j=1n−1[aiFln(ξ̂,η̂)+biδF(23,ξ̂,η̂)]η̂=ξ̂jη̂=ξ̂j+1+F0∞(ξ̂) (C16) Π1=b11F12(c11,1;12;ξ2)+b12F12(c12,1;12;ξ2)+b13ξ2F12(c13,2;32;ξ2)+b14(2−π∣ξ∣)(AppendixD,p.927)We are grateful to Dr. Andrew Bunger for bringing to our attention the second error.