Microplane modelling of shape memory alloys
A three-dimensional (3D) constitutive model based on a statically constrained microplane theory with volumetric-deviatoric split is proposed for polycrystalline shape memory alloys (SMAs) under multiaxial loading paths. Microplane governing equations are 1D stress-strain relations for normal and shear stresses on each microplane, in which suitable relationships between the microscopic and macroscopic quantities are considered so that switching between elastic and inelastic local responses automatically occurs according to the macroscopic response of SMA without additional constraint. Shear stress on each microplane is expressed by the resultant shear component within the plane to overcome directional bias and to prevent the appearance of shear strain in a pure axial loading or axial strain in a pure shear loading while microplane formulations based on two shear directions may predict such impractical results. The behaviour of SMA under simple and complicated loadings has been studied. In nonproportional loading paths, the model shows interaction between stress components, as well as deviation from normality. Predicted results from the model are in good agreement with those of the existing theoretical and experimental investigations.
M Kadkhodaei M Salimi R K N D Rajapakse M Mahzoon
Department of Mechanical Engineering, Isfahan University of Technology, PO Box 84156, Isfahan, Iran Department of Mechanical Engineering, The University of British Columbia, 2054-6250 Applied Science Department of Mechanical Engineering, Shiraz University School of Engineering, Engineering Campus No
国际会议
第二届功能原料国际研讨会(The 2rd International Symposium on Functional Materials)
杭州
英文
329-334
2007-05-16(万方平台首次上网日期,不代表论文的发表时间)