scholarly journals The analytic solution of near-tip stress fields for perfectly plastic pressure-sensitive material under plane stress condition

1992 ◽  
Vol 53 (4) ◽  
pp. 325-336 ◽  
Author(s):  
F. Z. Li
Author(s):  
Thomas Paris ◽  
Khémaïs Saanouni

This paper deals with the numerical treatment of "advanced" elasto-viscoplasticdamage constitutive equations in the particular case of plane stress. The viscoplastic constitutive equations account for the mixed isotropic and kinematic non linear hardening and are fully coupled with the isotropic ductile damage. The viscous effect is indifferently described by a power function (Norton type) or an hyperbolic sine function. Different time integration schemes are used and compared to each other assuming plane stress condition, widely used when dealing with shell structures as well as to the 3D reference case.


Stress fields in an isotropic elastic semi-infinite domain with a humped contour subjected to applied tractions are obtained for plane strain or plane stress conditions. Domains mapped conformally onto the half-plane by a class of rational functions are considered and a complex variable method is used to determine an analytic solution. A general Fortran program has been constructed to determine stresses, principal directions, principal strains, and maximum shear tractions at specified points.


1980 ◽  
Vol 12 (1) ◽  
pp. 89-93
Author(s):  
A. A. Lebedev ◽  
F. F. Giginyak ◽  
V. V. Bashta ◽  
V. K. Kharchenko ◽  
V. N. Semirog-Orlik ◽  
...  

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