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EVOLUTION OF VOIDS IN DUCTILE POROUS MATERIALS AT HIGH STRAIN RATE

Zheng Jian (Laboratory for Non-linear Mechanics of Continuous Media,Institute of Mechanics,Chinese Academy of Sciences,Beijing 100080,P.R.China) Wang Ze-Ping (Institute of Applied Mechanics,Southwes Jiaotong University,Chengdou 610031,P.R.China)  
In the present work,a dynamic damage model in ductile materials under the application of dynamic general stresses loading is presented.The evolution equation of ductile voids has the closed form,in which work-hardening,the change of surface energy of voids,rate-dependent,inertial effects are taken into account.The expressions of critical stresses for the growth and compaction of voids are directly obtained from the evolution equations of voids.From the expressions,the result obtained by Carroll and Holt,as a special example,is given.Numerical analysis of the model indicates that the growth of voids is sensitive to the strain rates.The voids grow quickly as the increase of strain rates.It is also shown that the influence of the inertial effects on the void growth is great at high loading rates.It appears to resist the growth of voids.In addition,a dynamic collapse model of ductile voids is also proposed,which can be applied to study the problems of compaction in powder and other materials.
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