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An analytical study on the bending of prismatic SMA beams

Ostadrahimi, A ; Sharif University of Technology | 2015

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  1. Type of Document: Article
  2. DOI: 10.1088/0964-1726/24/12/125035
  3. Publisher: Institute of Physics Publishing , 2015
  4. Abstract:
  5. In this study, an analytical solution is presented for pure bending of shape memory alloy (SMA) beams with symmetric cross section as well as symmetric behavior in tension and compression. To this end, a three-dimensional constitutive equation is reduced to one-dimensional form and employed to study the bending response of SMA beams at high (pseudo-elasticity) and low (shape memory effect) temperatures. An analytical expression for bending stress as well as polynomial approximation for shear stress and deflection are obtained. Derived equations for bending are employed to analyze an SMA beam with rectangular cross section and results are compared with those of the finite element method. The results of this work show good agreement when compared with experimental data and finite element results. Furthermore, the existence of several zero-stress fibers during unloading of SMA beams at low temperature is demonstrated
  6. Keywords:
  7. Analytical solution ; Bending problem ; Prismatic SMA beam ; Pseudo-elasticity ; Elasticity ; Polynomial approximation ; Shape memory effect ; Shear stress ; Temperature ; Unloading ; Analytical expressions ; Bending problems ; Rectangular cross-sections ; Shape memory alloys(SMA) ; SMA beam ; Tension and compression ; Three dimensional constitutive equation ; Finite element method
  8. Source: Smart Materials and Structures ; Volume 24, Issue 12 , 2015 ; 09641726 (ISSN)
  9. URL: http://iopscience.iop.org/article/10.1088/0964-1726/24/12/125035/meta;jsessionid=034A2080F278552A66F7444324AD849B.c2.iopscience.cld.iop.org