Variational prediction of the mechanical behavior of shape memory alloys based on thermal experiments. (July 2015)

• Record Type: Journal Article
• Authors: Junker, Philipp; Jaeger, Stefanie; Kastner, Oliver; Eggeler, Gunther; Hackl, Klaus
• Is Part Of: Journal of the mechanics and physics of solids. Volume 80(2015:Jul.)
• Page Start: 86
• Page End: 102
• Publication Date: 2015-07
• Subjects: Shape memory alloys -- Energetic material modeling -- DSC measurements -- Harmonic free energy -- Finite element simulations; Mechanics, Applied -- Periodicals; Solids -- Periodicals; Mechanics -- Periodicals; Mécanique appliquée -- Périodiques; Solides -- Périodiques; Mechanics, Applied; Solids; Periodicals; 531.05
• DOI: 10.1016/j.jmps.2015.04.015
• Languages: English
• ISSNs: 0022-5096

Abstract

Abstract: In this work, we present simulations of shape memory alloys which serve as first examples demonstrating the predicting character of energy-based material models. We begin with a theoretical approach for the derivation of the caloric parts of the Helmholtz free energy. Afterwards, experimental results for DSC measurements are presented. Then, we recall a micromechanical model based on the principle of the minimum of the dissipation potential for the simulation of polycrystalline shape memory alloys. The previously determined caloric parts of the Helmholtz free energy close the set of model parameters without the need of parameter fitting. All quantities are derived directly from experiments. Finally, we compare finite element results for tension tests to experimental data and show that the model identified by thermal measurements can predict mechanically induced phase transformations and thus rationalize global material behavior without any further assumptions.