Fracture toughness of shape memory alloy actuators: effect of transformation-induced plasticity

Numerical analysis of static cracks in a plane strain center-cracked infinite medium shape memory alloy (SMA) panel subjected to cyclic thermal variations and a constant mechanical load is conducted using the finite element method. In solid-state SMA actuators, permanent changes in the material's microstructure in the form of dislocations are caused during cyclic thermomechanical loading, leading to macroscopic irreversible strains, known as transformation induced plastic (TRIP) strains. The influence of these accumulated TRIP strains on mechanical fields close to the crack tip is investigated in the present paper. Virtual crack growth technique (VCCT) in ABAQUS FEA suite is employed to calculate the crack tip energy release rate and crack is assumed to be stationary (or static) so that the crack tip energy release rate never reaches the material specific critical value. Increase in the crack tip energy release rate is observed during cooling and its relationship with accumulation of TRIP due to cyclic transformation is studied.

[1]  D. Parks The virtual crack extension method for nonlinear material behavior , 1977 .

[2]  K. Gall,et al.  Fracture of precipitated NiTi shape memory alloys , 2001 .

[3]  Dimitris C. Lagoudas,et al.  Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part III: evolution of plastic strains and two-way shape memory effect , 1999 .

[4]  G. Eggeler,et al.  On the formation of martensite in front of cracks in pseudoelastic shape memory alloys , 2005 .

[5]  Dimitris C. Lagoudas,et al.  Aerospace applications of shape memory alloys , 2007 .

[6]  D. Lagoudas,et al.  On the Fracture Toughness of Pseudoelastic Shape Memory Alloys , 2014 .

[7]  Dimitris C. Lagoudas,et al.  Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part II : material characterization and experimental results for a stable transformation cycle , 1999 .

[8]  James G. Boyd,et al.  A thermodynamical constitutive model for shape memory materials. Part II. The SMA composite material , 1996 .

[9]  G. Ravichandran,et al.  An experimental investigation of crack initiation in thin sheets of nitinol , 2007 .

[10]  S. Yi,et al.  Fracture toughening mechanism of shape memory alloys under mixed-mode loading due to martensite transformation , 2001 .

[11]  D. Lagoudas,et al.  On the fracture toughness enhancement due to stress-induced phase transformation in shape memory alloys , 2013 .

[12]  D. Lagoudas,et al.  On the Fracture Response of Shape Memory Alloy Actuators , 2015 .

[13]  Sung Yi,et al.  Fracture toughening mechanism of shape memory alloys due to martensite transformation , 2000 .

[14]  S. W. Robertson,et al.  Evolution of crack-tip transformation zones in superelastic Nitinol subjected to in situ fatigue: A fracture mechanics and synchrotron X-ray microdiffraction analysis , 2007 .

[15]  Dimitris C. Lagoudas,et al.  Stable crack growth during actuation in shape memory alloys , 2014, Smart Structures.

[16]  D. Lagoudas,et al.  A mode I fracture analysis of a center-cracked infinite shape memory alloy plate under plane stress , 2012, International Journal of Fracture.

[17]  D. Lagoudas,et al.  On the driving force for crack growth during thermal actuation of shape memory alloys , 2016 .

[18]  D. Lagoudas,et al.  A thermodynamical constitutive model for shape memory materials. Part I. The monolithic shape memory alloy , 1996 .

[19]  D. Lagoudas,et al.  Stable Crack Growth During Thermal Actuation of Shape Memory Alloys , 2016, Shape Memory and Superelasticity.

[20]  D. Lagoudas,et al.  Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part IV: modeling of minor hysteresis loops , 1999 .

[21]  Y. Chemisky,et al.  Finite element analysis of the plane strain crack-tip mechanical fields in pseudoelastic shape memory alloys , 2012 .

[22]  Marcus L. Young,et al.  Fracture mechanics and microstructure in NiTi shape memory alloys , 2009 .

[23]  Ronald Krueger,et al.  The Virtual Crack Closure Technique : History , Approach and Applications , 2002 .

[24]  Dimitris C. Lagoudas,et al.  Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part I: theoretical derivations , 1999 .