TY - JOUR
T1 - Potential flow model of cavitation-induced interfacial fracture in a confined ductile layer
AU - Zhang, Sulin
AU - Hsia, K. Jimmy
AU - Pearlstein, Arne J.
N1 - Funding Information:
This material is based upon work supported by the U.S. Department of Energy, Division of Materials Sciences under Grant DEFG02-96ER45607, through the Frederick Seitz Materials Research Laboratory at the University of Illinois at Urbana- Champaign.
PY - 2002/3
Y1 - 2002/3
N2 - Fracture of a thin ductile layer sandwiched between stiff substrates often results from growth and coalescence of microscopic cavities ahead of an extending crack. Cavitation induced by plastic flow in a confined, ductile layer is analyzed here to evaluate the interfacial fracture toughness of such sandwich structures. For rigid-plastic materials, a new method is proposed in which the potential flow field of a fluid is used to approximate the plastic deformation. The principle of virtual work rate is applied to determine the equivalent traction-separation law. The method is demonstrated and validated for spherically symmetric cavity growth, for which an exact solution exists. We then study in detail the growth of an initially spherical cavity in a cylindrical bar of finite length subject to uniform traction at its ends. The results show that the stress-separation curves depend strongly on initial cavity size and the strain-hardening exponent, and weakly on the nominal strain. The method has clear advantages over numerical methods, such as finite-element analysis, for parametric study of cavity growth with large plastic deformation.
AB - Fracture of a thin ductile layer sandwiched between stiff substrates often results from growth and coalescence of microscopic cavities ahead of an extending crack. Cavitation induced by plastic flow in a confined, ductile layer is analyzed here to evaluate the interfacial fracture toughness of such sandwich structures. For rigid-plastic materials, a new method is proposed in which the potential flow field of a fluid is used to approximate the plastic deformation. The principle of virtual work rate is applied to determine the equivalent traction-separation law. The method is demonstrated and validated for spherically symmetric cavity growth, for which an exact solution exists. We then study in detail the growth of an initially spherical cavity in a cylindrical bar of finite length subject to uniform traction at its ends. The results show that the stress-separation curves depend strongly on initial cavity size and the strain-hardening exponent, and weakly on the nominal strain. The method has clear advantages over numerical methods, such as finite-element analysis, for parametric study of cavity growth with large plastic deformation.
KW - A. Cavity growth
KW - A. Fracture toughness
KW - A. Interfacial fracture
KW - B. Ideally plastic material
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U2 - 10.1016/S0022-5096(01)00089-8
DO - 10.1016/S0022-5096(01)00089-8
M3 - Article
AN - SCOPUS:0036495920
SN - 0022-5096
VL - 50
SP - 549
EP - 569
JO - Journal of the Mechanics and Physics of Solids
JF - Journal of the Mechanics and Physics of Solids
IS - 3
ER -