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	Elliptical void growth in shear
	Pan, KL ; Huang, ZP ; Ji, X
	1995
关键词	POWER-LAW SOLIDS CAVITATION INSTABILITIES NONLINEAR MATERIALS PLASTIC SOLIDS DEFORMATION METALS
DOI	10.1098/rspa.1995.0142
英文摘要	An approximate upper bound approach is developed to analyse the growth of an elliptical void contained in a finite unit cell undergoing simple shearing combined with superimposed hydrostatic tension. The matrix is assumed to be an incompressible nonlinear power-law viscous solid. For a void in an infinite linearly viscous matrix material, the present result is in good agreement with Eshelby's solution. For a nonlinearly viscous matrix material, to calculate the constitutive potential, an accurate numerical method is developed. Comparisons of the upper bound solution of the potential and its first-order approximation with the accurate one are made. It is found that the potential values from the first-order approximation are closer to the accurate values than those from the upper bound solution. Therefore, the first-order approximation of the upper bound for the constitutive relations is used to give the relations of the stress triaxiality and the void growth rate. For both Newtonian materials and perfectly plastic materials, the suggested method gives closed forms for the void growth rate as an implicit function of the stress triaxiality, the void volume fraction, the void aspect ratio and the strain rate sensitivity exponent. For other cases, the void growth is investigated numerically.; SCI(E); 2; ARTICLE; 1943; 553-570; 451
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/402849]
专题	工学院
推荐引用方式 GB/T 7714	Pan, KL,Huang, ZP,Ji, X. Elliptical void growth in shear[J],1995.
APA	Pan, KL,Huang, ZP,&Ji, X.(1995).Elliptical void growth in shear..
MLA	Pan, KL,et al."Elliptical void growth in shear".(1995).

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