A coupled elastoplastic-damage constitutive model with Lode angle dependent failure criterion

Abstract A coupled elastoplastic-damage constitutive model with Lode angle dependent failure criterion for high strain and ballistic applications is presented. A Lode angle dependent function is added to the equivalent plastic strain to failure definition of the Johnson–Cook failure criterion. The weakening in the elastic law and in the Johnson–Cook-like constitutive relation implicitly introduces the Lode angle dependency in the elastoplastic behaviour. The material model is calibrated for precipitation hardened Inconel 718 nickel-base superalloy. The combination of a Lode angle dependent failure criterion with weakened constitutive equations is proven to predict fracture patterns of the mechanical tests performed and provide reliable results. Additionally, the mesh size dependency on the prediction of the fracture patterns was studied, showing that was crucial to predict such patterns.

[1]  V. Sánchez-Gálvez,et al.  Flow and fracture behaviour of FV535 steel at different triaxialities, strain rates and temperatures , 2012 .

[2]  T. Wierzbicki,et al.  Ductile fracture initiation and propagation modeling using damage plasticity theory , 2008 .

[3]  S. Dey,et al.  Strength and ductility of Weldox 460 E steel at high strain rates, elevated temperatures and various stress triaxialities , 2005 .

[4]  Percy Williams Bridgman,et al.  Studies in large plastic flow and fracture , 1964 .

[5]  Clive R. Siviour,et al.  Improved materials characterisation through the application of geometry reconstruction to quasi-static and high-strain-rate tension tests , 2012 .

[6]  M. Eriksson,et al.  Development and use of in-plane shear tests to identify ductile failure parameters of aluminium alloys , 2006 .

[7]  Herbert Kolsky,et al.  Stress Waves in Solids , 2003 .

[8]  M. Wilkins,et al.  Cumulative-strain-damage model of ductile fracture: simulation and prediction of engineering fracture tests , 1980 .

[9]  J. Hutchinson,et al.  Modification of the Gurson Model for shear failure , 2008 .

[10]  T. Wierzbicki,et al.  A new model of metal plasticity and fracture with pressure and Lode dependence , 2008 .

[11]  N. Petrinic,et al.  Cross-section reconstruction during uniaxial loading , 2009 .

[12]  Imad Barsoum,et al.  Rupture mechanisms in combined tension and shear : Experiments , 2007 .

[13]  R. Hill.  The mathematical theory of plasticity , 1950 .

[14]  T. Børvik,et al.  A computational model of viscoplasticity and ductile damage for impact and penetration , 2001 .

[15]  D. Owen,et al.  Computational methods for plasticity : theory and applications , 2008 .

[16]  Tore Børvik,et al.  Fracture characteristics of a cold-rolled dual-phase steel , 2011 .

[17]  Yuanli Bai,et al.  Application of extended Mohr–Coulomb criterion to ductile fracture , 2009 .

[18]  E. A. de Souza Neto,et al.  Computational methods for plasticity , 2008 .

[19]  C. Anderson,et al.  A new plasticity and failure model for ballistic application , 2011 .

[20]  Yuanli Bai,et al.  Calibration of ductile fracture properties of a cast aluminum alloy , 2007 .

[21]  Jean Lemaitre,et al.  A Course on Damage Mechanics , 1992 .

[22]  Tore Børvik,et al.  On the influence of fracture criterion in projectile impact of steel plates , 2006 .

[23]  D. M. Tracey,et al.  On the ductile enlargement of voids in triaxial stress fields , 1969 .

[24]  Jacques Besson,et al.  Modeling of crack growth in round bars and plane strain specimens , 2001 .

[25]  L. Xue.  Damage accumulation and fracture initiation in uncracked ductile solids subject to triaxial loading , 2007 .

[26]  J. D. Embury,et al.  A model of ductile fracture based on the nucleation and growth of voids , 1981 .

[27]  G. R. Johnson,et al.  Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures , 1985 .

[28]  D. Agard,et al.  Microtubule nucleation by γ-tubulin complexes , 2011, Nature Reviews Molecular Cell Biology.

[29]  Borja Erice Echávarri.  Flow and fracture behaviour of high performance alloys , 2012 .

[30]  Tore Børvik,et al.  Experimental and numerical investigation of fracture in a cast aluminium alloy , 2010 .

[31]  Tomasz Wierzbicki,et al.  Numerical simulation of fracture mode transition in ductile plates , 2008 .

[32]  L. Xue,et al.  Stress based fracture envelope for damage plastic solids , 2009 .

[33]  T. Børvik,et al.  On the plastic anisotropy of an aluminium alloy and its influence on constrained multiaxial flow , 2011 .

[34]  Tore Børvik,et al.  Failure criteria with unilateral conditions for simulation of plate perforation , 2011 .

[35]  T. Wierzbicki,et al.  On fracture locus in the equivalent strain and stress triaxiality space , 2004 .

[36]  G. Mirone,et al.  A local viewpoint for evaluating the influence of stress triaxiality and Lode angle on ductile failure and hardening , 2010 .

[37]  Odd Sture Hopperstad,et al.  On the influence of stress triaxiality and strain rate on the behaviour of a structural steel. Part II. Numerical study , 2003 .

[38]  Tore Børvik,et al.  Evaluation of uncoupled ductile fracture criteria for the dual-phase steel Docol 600DL , 2012 .