CONTINUUM VOID NUCLEATION MODEL FOR Al-Mg ALLOY SHEET BASED ON MEASURED PARTICLE DISTRIBUTION

Void nucleation within measured particle fields of an aluminum alloy is investigated to develop a continuum nucleation model which reflects nucleation at the individual particle scale. A nucleation model for heterogeneous particle distributions is synchronized with the continuum model of Chu and Needleman using the average nucleation strain. The parameters in the continuum model are identified from the particle fields and are evaluated over the range of stress states observed in sheet metal forming. The synchronized continuum nucleation model achieves very good agreement with the nucleation trends for three measured particle fields in uniaxial tension, plane strain, and equal-biaxial tension.

Homogeneous void nucleation in the presence of supersaturated vacancies and interstitials

Homogeneous void nucleation in metals containing arbitrary vacancies and interstitials has been reexamined,with corrections made to the original work by Katz and Wiedersich.The void size distributions derived previously missed an exponential modification function with void size as the exponent.As a result,void nucleation under a given vacancy supersaturation ratio is underestimated by orders of magnitude.The second improvement arises from the accuracy in calculating the vacancy arrival rate to a void.The present work proposes establishing a direct relationship between the vacancy arrival rate and the available self-diffusion coefficient.With these corrections and improvements,void nucleation in pure Fe is calculated as an example,and an analytic fitting formula is provided.The required vacancy supersaturation ratio and interstitial-to-vacancy flux ratio for void nucleation calculations can be easily obtained from an analytical solution of rate theory calculations,in which dislocation density and displacements per atom(dpa)rate are adjustable inputs.Alternatively,the nucleation rate calculation can be incorporated into rate theory calculations considering evolving dislocation densities,which leads to time-dependent void nucleation.

CAVITATED BIFURCATION FOR INCOMPRESSIBLE HYPERELASTIC MATERIAL

The spherical cavitated bifurcation for a hyperelastic solid sphere made of the incompressible Valanis-Landel material under boundary dead-loading is examined. The analytic solution for the bifurcation problem is obtained. The catastrophe and concentration of stresses are discussed. The stability of solutions is discussed through the energy comparison. And the growth of a pre-existing micro-void is also observed.

Energy variation in diffusive void nucleation induced by electromigration

An energy approach is proposed to describe electromigration induced void nucleation based on phase transformation theory.The chemical potential for an individual migrated atom is predicted by diffusion induced back stress equivalent principle.After determining the chemical potential for the dilfusing atoms,the Gibbs free energy controlling the void nucleation can be determined and the mass diffusion process is considered.The critical void radius and nucleation time are determined analytically when the Gibbs free energy approaches the extreme value.The theoretical predictions are compared with the experimental results from literatures and show good accuracy.The proposed model can also be applied to other diffusion induced damage processes such as thermomigration and stress migration.

A New Ductile Fracture Criterion for Various Deformation Conditions Based on Microvoid Model

To accurately predict the occurrence of ductile fracture in metal forming processes, the Gurson-Tvergaard （GT） porous material model with optimized adjustment parameters is adopted to analyze the macroscopic stressstrain response, and a practical void nucleation law is proposed with a few material constants for engineering applications. Mechanical and metallographic analyses of uniaxial tension, torsion and upsetting experiments are performed. According to the character of the metal forming processes, the basic mechanisms of ductile fracture are divided into two modes： tension-type mode and shear-type mode. A unified fracture criterion is proposed for wide applicable range, and the comparison of experimental results with numerical analysis results confirms the validity of the newly proposed ductile fracture criterion based on the GT porous material model.

Void Formation and Plastic Deformation Mechanism of a Cold-Rolled Dual-Phase Steel During Tension

The void formation and plastic deformation micromechanisms of a cold-rolled DP600 steel during tensile loading were studied by scanning electron microscopy(SEM) and electron backscatter diffraction(EBSD).The SEM observations revealed that the main void nucleation mechanism in the DP600 steel is decohesion at the ferrite-martensite interfaces.The voids were mostly observed between the closely spaced martensite islands situated at the boundaries of relatively finer ferrite grains.The EBSD results indicated a strain gradient developed from the ferrite-martensite and ferrite-ferrite interfaces into the interior of ferrite grains during the tensile deformation,which led to a stress concentration at these interfaces.Moreover,it was demonstrated that local misorientation inside the finer ferrite grains surrounded by martensite islands was higher than that for the coarser ferrite grains,which made the former more prone to void initiation.