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Implementation of microplane model into three-dimensional beam element for shape memory alloys

Poorasadion, S ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1142/S175882511550091X
  3. Publisher: World Scientific Publishing Co. Pte Ltd , 2015
  4. Abstract:
  5. In this study, a three-dimensional (3D) beam element based on Timoshenko beam theory is introduced for shape memory alloys (SMAs). Employing the microplane approach, we use a 3D SMA constitutive model extended from a 1D model proposed by Brinson. The SMA model is implemented into a user-defined subroutine (UMAT) in the nonlinear finite element software ABAQUS/Standard. Results of numerical examples show reasonable agreement with experimental data in proportional and non-proportional loadings. Furthermore, several applications (staple, spring, structure) are simulated and the results are compared with those of continuum elements. According to the results, the 3D SMA beam element can be used in the design and analysis of various SMA applications
  6. Keywords:
  7. Microplane ; Shape memory alloy ; UMAT ; ABAQUS ; Finite element method ; Subroutines ; 3d beam elements ; Non-linear finite elements ; Nonproportional loading ; Three dimensional beam ; Three-dimensional (3D) beams ; Timoshenko beam theory ; Shape memory effect
  8. Source: International Journal of Applied Mechanics ; Volume 7, Issue 6 , December , 2015 ; 17588251 (ISSN)
  9. URL: http://www.worldscientific.com/doi/10.1142/S175882511550091X