Carbon Fiber-Reinforced Smart Laminates with Embedded SMA Actuators—Part II: Numerical Models and Empirical Correlations

Up to now one of the main limitations for a large use of shape memory alloys (SMA)-based smart composite structures in the aerospace industry is the lack of useful numerical tools for design; in addition, some technological aspects still need a more detailed investigation. This article shows numerical modeling approaches adopted for the implementation of SMA constitutive laws in commercial codes such as ABAQUS. Two different approaches were selected. The first one is based on the thermomechanical model proposed by Turner and the other one follows the thermodynamic macromechanical constitutive law developed by Lagoudas. The implementation in ABAQUS code was followed by a procedure to evaluate model parameters and to experimentally validate the reliability of code predictions for specifically designed test situations. This article presents the test campaign carried out for the definition of these parameters and the numerical-experimental correlation for both the models.

[1]  Paolo Bettini,et al.  Development of an Active Composite with Embedded Piezoelectric Sensors and Actuators for Structure Actuation and Control , 2003 .

[2]  Qingping Sun,et al.  Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys. I: Derivation of general relations , 1993 .

[3]  Alessandro Airoldi,et al.  Carbon Fiber Reinforced Smart Laminates with Embedded SMA Actuators—Part I: Embedding Techniques and Interface Analysis , 2009, Journal of Materials Engineering and Performance.

[4]  T. Turner Thermomechanical Response of Shape Memory Alloy Hybrid Composites. Degree awarded by Virginia Polytechnic Inst. and State Univ., Blackburg, Virginia, Nov. 2000. , 2013 .

[5]  Keh Chih Hwang,et al.  Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys. II: Study of the individual phenomena , 1993 .

[6]  J. Loughlan,et al.  Adaptive post-buckling response of carbon fibre composite plates employing SMA actuators , 1997 .

[7]  J. Schrooten,et al.  Basic design guidelines for SMA/epoxy smart composites , 2005 .

[8]  H. Tobushi,et al.  Phenomenological analysis on subloops and cyclic behavior in shape memory alloys under mechanical and/or thermal loads , 1995 .

[9]  D. Lagoudas,et al.  Numerical implementation of a shape memory alloy thermomechanical constitutive model using return mapping algorithms , 2000 .

[10]  L. Schetky Shape-memory alloys , 1979 .

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

[12]  Sanjay Govindjee,et al.  Non‐linear B‐stability and symmetry preserving return mapping algorithms for plasticity and viscoplasticity , 1991 .

[13]  Craig A. Rogers,et al.  One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials , 1990 .

[14]  Dimitris C. Lagoudas,et al.  Modeling of transformation-induced plasticity and its effect on the behavior of porous shape memory alloys. Part I: constitutive model for fully dense SMAs , 2004 .

[15]  Travis L. Turner,et al.  Experimental validation of a thermoelastic model for SMA hybrid composites , 2001, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[16]  L. Brinson,et al.  Shape memory alloys, Part I: General properties and modeling of single crystals , 2006 .

[17]  Inderjit Chopra,et al.  Review of State of Art of Smart Structures and Integrated Systems , 2002 .

[18]  Maenghyo Cho,et al.  Structural morphing using two-way shape memory effect of SMA , 2005 .