Effect of poisson ratio on the perfectly plastic field at a rapidly propagating plane-strain crack-tip

1991 ◽  
Vol 12 (10) ◽  
pp. 1009-1016
Author(s):  
Lin Bai-song
Keyword(s):  
Plane Strain ◽  
Poisson Ratio ◽  
Crack Tip ◽  
Perfectly Plastic ◽  
Plane Strain Crack

Plane-Strain Crack-Tip Fields for Pressure-Sensitive Dilatant Materials

1990 ◽  
Vol 57 (1) ◽  
pp. 40-49 ◽  
Author(s):  
F. Z. Li ◽  
J. Pan
Keyword(s):  
Plane Strain ◽  
Effective Stress ◽  
Hydrostatic Stress ◽  
Yield Criterion ◽  
Crack Tip ◽  
Flow Rule ◽  
Pressure Sensitivity ◽  
Crack Tip Fields ◽  
Pressure Sensitive ◽  
Plane Strain Crack

Plane-strain crack-tip stress and strain fields are presented for materials exhibiting pressure-sensitive yielding and plastic volumetric deformation. The yield criterion is described by a linear combination of the effective stress and the hydrostatic stress, and the plastic dilatancy is introduced by the normality flow rule. The material hardening is assumed to follow a power-law relation. For small pressure sensitivity, the plane-strain mode I singular fields are found in a separable form similar to the HRR fields (Hutchinson, 1968a, b; Rice and Rosengren, 1968). The angular distributions of the fields depend on the material-hardening exponent and the pressure-sensitivity parameter. The low-hardening solutions for different degrees of pressure sensitivity are found to agree remarkably with the corresponding perfectly-plastic solutions. An important aspect of the effects of pressure-sensitive yielding and plastic dilatancy on the crack-tip fields is the lowering of the hydrostatic stress and the effective stress directly ahead of the crack tip, which may contribute to the experimentally-observed enhancement of fracture toughness in some ceramic and polymeric composite materials.

The Equivalence of the Final Stretch and Crack Tip Opening Angle Criteria for Plane Strain Crack Growth

1981 ◽  
Vol 103 (2) ◽  
pp. 148-150 ◽  
Author(s):  
E. Smith
Keyword(s):  
Crack Growth ◽  
Plane Strain ◽  
Process Zone ◽  
Crack Tip ◽  
Opening Angle ◽  
Type Model ◽  
Geometrical Parameters ◽  
Crack Tip Opening Angle ◽  
Crack Tip Opening ◽  
Plane Strain Crack

The equivalence of the final stretch and crack tip opening angle criteria, as applied to the Dugdale-Bilby-Cottrell-Swinden type model for Mode I plane strain crack growth, is demonstrated. This equivalence is independent of the plastic zone size, geometrical parameters, and the stress distribution within the fracture process zone, if the yield stress is sufficiently low and the crack growth resistance is sufficiently high. The results therefore provide further support for the viability of crack tip opening angle as a crack growth characterizing parameter.

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