Effect of Rate Sensitivity on Necking Behavior of a Laminated Tube Under Dynamic Loading

An elastic-viscoplastic based finite element model has been developed to study the necking behavior of tube expansion for rate independent materials, rate dependent monolithic materials, and laminated materials during dynamic loading. A numerical study shows that for rate independent materials, the dynamic loading will not delay diffused necking but localized necking; for rate dependent materials, high strain rate sensitivity can significantly delay the onset of localized necking for both monolithic and laminated sheets and affect the multiple-neck formation in high-speed dynamic loading. The model also shows that a higher volume fraction of a clad layer with positive rate sensitivity material in a laminated sheet improves the sheet ductility.

[1]  J. Embury,et al.  Enhanced ductility in round tensile bars produced by cladding a ductile ring , 2010 .

[2]  S. Kapuria,et al.  Multiterm Extended Kantorovich Method for Three-Dimensional Elasticity Solution of Laminated Plates , 2012 .

[3]  A. Needleman,et al.  A tangent modulus method for rate dependent solids , 1984 .

[4]  Z. Suo,et al.  Deformability of thin metal films on elastomer substrates , 2006 .

[5]  L. B. Freund,et al.  Modeling and Simulation of Dynamic Fragmentation in Brittle Materials , 1999 .

[6]  Jian Lu,et al.  Necking propagated deformation behavior of layer-structured steel prepared by co-warm rolled surface nanocrystallized 304 stainless steel , 2007 .

[7]  John W. Hutchinson,et al.  Sheet Necking-III. Strain-Rate Effects , 1978 .

[8]  Vivek B. Shenoy,et al.  Disorder effects in dynamic fragmentation of brittle materials , 2003 .

[9]  K. Ravi-Chandar,et al.  On the dynamics of localization and fragmentation—III. Effect of cladding with a polymer , 2009 .

[10]  V. Tvergaard,et al.  Effect of inertia on the necking behaviour of ring specimens under rapid radial expansion , 1995 .

[11]  R. Becker,et al.  Ring fragmentation predictions using the Gurson model with material stability conditions as failure criteria , 2002 .

[12]  Zhenyu Xue,et al.  Neck retardation and enhanced energy absorption in metal–elastomer bilayers , 2007 .

[13]  F. Barlat,et al.  Formability of AA5182/polypropylene/AA5182 sandwich sheets , 2003 .

[14]  N. Mott,et al.  Fragmentation of shell cases , 1947, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[15]  J. Embury,et al.  Enhanced Formability in Sheet Metals Produced by Cladding a High Strain-Rate Sensitive Layer , 2014 .

[16]  D. E. Grady,et al.  Fragmentation of metal rings by electromagnetic loading , 1983 .

[17]  John W. Hutchinson,et al.  Influence of strain-rate sensitivity on necking under uniaxial tension , 1977 .

[18]  M. Gallerneault,et al.  The Deformation of Clad Aluminum Sheet Produced By Direct Chill Casting , 2010 .

[19]  P. Krysl,et al.  Finite element simulation of ring expansion and fragmentation: The capturing of length and time scales through cohesive models of fracture , 1999 .

[20]  Glenn S. Daehn,et al.  Increased ductility in high velocity electromagnetic ring expansion , 1996 .

[21]  M. E. Kipp,et al.  Dynamic fracture growth and interaction in one dimension , 1985 .

[22]  E. I. Riegner,et al.  The development of orthogonal bicolored moiré fringes , 1972 .

[23]  K. Ravi-Chandar,et al.  On the dynamics of necking and fragmentation – I. Real-time and post-mortem observations in Al 6061-O , 2007 .

[24]  Zhenyu Xue,et al.  Material aspects of dynamic neck retardation , 2008 .

[25]  Yonggang Huang,et al.  Enhanced Ductility in Sheet Metals Produced by Cladding a Ductile Layer , 2010 .

[26]  L. Anand,et al.  Finite deformation constitutive equations and a time integrated procedure for isotropic hyperelastic—viscoplastic solids , 1990 .

[27]  J. Lewandowski,et al.  Laminated composites with improved toughness , 1990 .

[28]  I. M. Fyfe,et al.  Dynamic pre-strain and inertia effects on the fracture of metals , 1980 .

[29]  K. Ravi-Chandar,et al.  On the dynamics of necking and fragmentation—II. Effect of material properties, geometrical constraints and absolute size , 2008 .

[30]  Amit K. Ghosh.  Tensile instability and necking in materials with strain hardening and strain-rate hardening , 1977 .

[31]  J. Embury,et al.  Crystal plasticity based analysis of localized necking in aluminum tube under internal pressure , 2010 .