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An analytical study on the bending of prismatic SMA beams
, Article Smart Materials and Structures ; Volume 24, Issue 12 , 2015 ; 09641726 (ISSN) ; Arghavani, J ; Poorasadion, S ; Sharif University of Technology
Institute of Physics Publishing
2015
Abstract
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...