Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials

1973 ◽  
Vol 21 (4) ◽  
pp. 263-277 ◽  
Author(s):  
S.G. Larsson† ◽  
A.J. Carlsson
Keyword(s):  
Specimen Geometry ◽  
Small Scale ◽  
Small Scale Yielding ◽  
Singular Stress ◽  
Elastic Plastic ◽  
Plastic Materials ◽  
Crack Tips ◽  
Scale Yielding ◽  
Elastic Plastic Materials

Finite Element Solutions for Crack-Tip Behavior in Small-Scale Yielding

1976 ◽  
Vol 98 (2) ◽  
pp. 146-151 ◽  
Author(s):  
D. M. Tracey
Keyword(s):  
Finite Element ◽  
Plastic Region ◽  
Crack Tip ◽  
Small Scale ◽  
Element Formulation ◽  
Small Scale Yielding ◽  
Field Problem ◽  
Hardening Material ◽  
Elastic Plastic ◽  
Scale Yielding

The subject considered is the stress and deformation fields in a cracked elastic-plastic power law hardening material under plane strain tensile loading. An incremental plasticity finite element formulation is developed for accurate analysis of the complete field problem including the extensively deformed near tip region, the elastic-plastic region, and the remote elastic region. The formulation has general applicability and was used to solve the small scale yielding problem for a set of material hardening exponents. Distributions of stress, strain, and crack opening displacement at the crack tip and through the elastic-plastic zone are presented as a function of the elastic stress intensity factor and material properties.

scholarly journals Elastic-plastic analysis of crack on bimaterial interface

2005 ◽  
Vol 32 (3) ◽  
pp. 193-207
Author(s):  
Ruzica Nikolic ◽  
Jelena Veljkovic
Keyword(s):  
Phase Angle ◽  
Plastic Material ◽  
Crack Tip ◽  
Bimaterial Interface ◽  
Small Scale ◽  
Small Scale Yielding ◽  
Elastic Plastic ◽  
Singular Form ◽  
Scale Yielding ◽  
New Phase

In this paper are presented solutions for the stress and dis?placement fields for a crack that lies along the interface of an elastic and elastic - plastic material and for a crack between two different elastic - plastic materials. These solutions are obtained using the J2-deformation theory with the power - law strain hardening. In this paper results are described for a small scale yielding at the crack tip. The near tip fields do not have a separable singular form, of the HRR type fields, as in homogeneous media, they do, however bare interesting similarities to certain mixed -mode HRR fields. Under the small scale yielding the elastic fields are specified by a complex stress intensity factor and phase angle loading, while plastic field is characterized by a new phase angle. The size of plastic zone in plane strain and plane stress and displacement fields at the crack tip for the new phase angle are obtained. The crack tip opens smoothly and the crack opening displacement is scaled by the J-integral. The whole analysis is performed by application of the Mathematica symbolic programming routine.

Effectiveness of Linear Notch Mechanics under the Condition of Small Scale Yielding

2010 ◽  
Vol 452-453 ◽  
pp. 21-24
Author(s):  
T. Teranishi ◽  
Hironobu Nisitani
Keyword(s):  
Real Object ◽  
Small Scale ◽  
Small Scale Yielding ◽  
Notched Specimen ◽  
Elastic Plastic ◽  
Scale Yielding

The linear notch mechanics (LNM) was proposed by H. Nisitani in 1983. The concept of LNM can assure the occurrence of the same phenomena in a notched specimen and a real object. The effectiveness of LNM under the condition of small scale yielding has not been confirmed sufficiently. In this paper, the effectiveness of LNM under the condition of small scale yielding is discussed based on the results of FEM elastic-plastic analyses.

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