scholarly journals Effects of non-singular stresses on crack-tip fields for pressure-sensitive materials, Part 1: Plane strain case

1994 ◽  
Vol 68 (1) ◽  
pp. 1-34 ◽  
Author(s):  
M. Kim ◽  
J. Pan
Keyword(s):  
Plane Strain ◽  
Crack Tip ◽  
Crack Tip Fields ◽  
Pressure Sensitive ◽  
Plane Strain Case

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.

Fully plastic crack-tip fields for plane strain shallow-cracked specimens under pure bending

1996 ◽  
Vol 78 (1) ◽  
pp. 21-34 ◽  
Author(s):  
Yun-Jae Kim ◽  
Guoyu Lin ◽  
Alfred Cornec ◽  
Karl-Heinz Schwalbe
Keyword(s):  
Plane Strain ◽  
Crack Tip ◽  
Pure Bending ◽  
Crack Tip Fields ◽  
Cracked Specimens
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