A closed-form small-scale yielding collinear strip yield model for strain hardening materials

1994 ◽  
Vol 49 (1) ◽  
pp. 95-103 ◽  
Author(s):  
Steven R. Daniewicz
Keyword(s):  
Closed Form ◽  
Strain Hardening ◽  
Small Scale ◽  
Small Scale Yielding ◽  
Yield Model ◽  
Strip Yield Model ◽  
Scale Yielding

An Analysis for Crack Instability in Elastically Confined Yielding Regime

1984 ◽  
Vol 106 (4) ◽  
pp. 488-494 ◽  
Author(s):  
A. Zahoor
Keyword(s):  
Control Mode ◽  
Small Scale ◽  
Small Scale Yielding ◽  
Yield Model ◽  
System A ◽  
Strip Yield Model ◽  
Loading System ◽  
Scale Yielding ◽  
Crack Tip Plasticity ◽  
Special Case

An analysis for crack instability is presented which utilizes a J-integral-based tearing modulus approach. In particular, a plane stress center-cracked panel which experiences elastically confined yielding is analyzed for a displacement controlled loading. The analysis assumes a compliant loading system, a special case of which leads to a load control mode of loading. The effects of the crack tip plasticity are taken into account by using the strip-yield model of Dugdale-Barenblatt. A method of predicting the amount of crack growth at the onset of instability is presented. Numerical results suggest that under conditions of small-scale yielding, crack instability can be achieved in materials having very low tearing modulus values.

Fracture of Circumferentially Cracked Pipes

1986 ◽  
Vol 108 (4) ◽  
pp. 529-531 ◽  
Author(s):  
A. Zahoor
Keyword(s):  
Crack Initiation ◽  
Closed Form ◽  
Axial Displacement ◽  
Load Control ◽  
Small Scale ◽  
Small Scale Yielding ◽  
Linear Elastic ◽  
Scale Yielding

Closed-form expressions are derived for linear elastic axial displacement and bending deflection of circumferentially cracked pipe under combined tension and bending. Formulas are then presented for the applied tearing modulus for: 1) load control and 2) displacement-controlled loading. These formulas are very useful for predicting crack initiation and instability under small-scale yielding conditions.

Comparison of Strip Yield and Net Section Plasticity Models for a Bar in Bending With a Single Edge Crack

2017 ◽  
Author(s):  
Wolf Reinhardt ◽  
Don Metzger
Keyword(s):  
Edge Crack ◽  
Large Scale ◽  
Stress Singularity ◽  
Crack Tip ◽  
Small Scale ◽  
Single Edge ◽  
Yield Model ◽  
Strip Yield Model ◽  
Crack Tip Plasticity ◽  
Stress And Deformation

The strip yield model is widely used to describe crack tip plasticity in front of a crack. In the strip yield model the stress in the plastic zone is considered as known, and stress and deformation fields can be obtained from elastic solutions using the condition that the crack tip stress singularity vanishes. The strip yield model is generally regarded to be valid to describe small scale plasticity at a crack tip. The present paper examines the behavior of the strip yield model at the transition to large-scale plasticity and its relationship to net section plasticity descriptions. A bar in bending with a single edge crack is used as an illustrative example to derive solutions and compare with one-sided and two-sided plasticity solutions.

Small Scale Contact Conditions for the Linear-Elastic Interface Crack

1988 ◽  
Vol 55 (4) ◽  
pp. 814-817 ◽  
Author(s):  
Peter M. Anderson
Keyword(s):  
Interface Crack ◽  
Growth Parameter ◽  
Small Scale ◽  
Elastic Materials ◽  
Small Scale Yielding ◽  
Contact Conditions ◽  
Linear Elastic ◽  
Elastic Interface ◽  
Scale Yielding ◽  
Anisotropic Elastic

Conditions are discussed for which the contact zone at the tip of a two-dimensional interface crack between anisotropic elastic materials is small. For such “small scale contact” conditions combined with small scale yielding conditions, a stress concentration vector uniquely characterizes the near tip field, and may be used as a crack growth parameter. Representative calculations for an interface crack on a representative Cu grain boundary show small contact conditions to prevail, except possibly under large shearing loads.

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