Theoretical Study of Void Closure in Nonlinear Plastic Materials

ZHANG Xiao-xun; CUI Zhen-shan

doi:10.3879/j.issn.1000-0887.2009.05.009

Volume 30 Issue 5

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ZHANG Xiao-xun, CUI Zhen-shan. Theoretical Study of Void Closure in Nonlinear Plastic Materials[J]. Applied Mathematics and Mechanics, 2009, 30(5): 587-597. doi: 10.3879/j.issn.1000-0887.2009.05.009

Citation:

ZHANG Xiao-xun, CUI Zhen-shan. Theoretical Study of Void Closure in Nonlinear Plastic Materials[J]. Applied Mathematics and Mechanics, 2009, 30(5): 587-597. doi: 10.3879/j.issn.1000-0887.2009.05.009

Citation:

ZHANG Xiao-xun, CUI Zhen-shan. Theoretical Study of Void Closure in Nonlinear Plastic Materials[J]. Applied Mathematics and Mechanics, 2009, 30(5): 587-597. doi: 10.3879/j.issn.1000-0887.2009.05.009

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Theoretical Study of Void Closure in Nonlinear Plastic Materials

doi: 10.3879/j.issn.1000-0887.2009.05.009

National Die and Mold CAD Engineering Research Center, Shanghai Jiao Tong University, Shanghai 200030, P. R. China

Received Date: 2008-05-20
Rev Recd Date: 2009-03-10
Publish Date: 2009-05-15

Abstract

Abstract

Void closing from a spherical shape to a crack is investigated quantitatively in the present study. The constitutive relation of the void-free matrix was assumed to obey the Norton power law. A representative volume element (RVE) which includes matrix and void was employed and a Rayleigh-Ritz procedure was developed to study the deformation-rates of a spherical void and a pennyshaped crack. Based on an approximate interpolation scheme, an analytical model for void closure in nonlinear plastic materials was established. It is found that the local plastic flows of the matrix material are the main mechanism of void deformation. It is also shown that the relative void volume during the deformation depends on the Norton exponent, on the far-field stress triaxiality, as well as on the far-field effective strain. The predictions of void closure using the present model are compared with the corresponding results in the literature, arriving at good agreement. The model for void closure provides a novel way for process design and optimization in terms of elimination of voids in billets because the model for void closure can be easily applied in the CAE(computer aided engineering) analysis.
- void closure,
- representative volme element (RVE),
- mesomechanics,
- stress triaxiality,
- CAE

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References(41)

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