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The Influence of Transformation Kinetics on Stress-Strain Relations of Shape Memory Alloys in Thermomechanical Processes

Institute of Mechanics University for Mining and Metallurgy A-8700 Leoben, Austria

K. Tanaka

Department of Aerospace Engineering Tokyo Metropolitan Institute of Technology J-191 Hino/Tokyo, Japan

F.D. Fischer

Christian Doppler Laboratory for Micromechanics of Materials Institute of Mechanics University for Mining and Metallurgy A-8700 Leoben, Austria

The constitutive law which relates stress, temperature, transformed volume fraction and the strain is integrated under consideration of a kinetic law. This law was derived and discussed by the authors just recently. It is a differential equation for the volume fraction of the new phase. The volume fraction is a function of the stress and temperature history.

Merging of the constitutive law and the kinetic law leads to a new relation among the volume frac tion of the new phase, the total strain, the stress and/or temperature. For some parameter configura tions and in the case of a linear stress-temperature relation, analytical solutions are possible which are presented. The results are also compared with those of a statistical simulation.

Journal of Intelligent Material Systems and Structures, Vol. 5, No. 4, 474-486 (1994)
DOI: 10.1177/1045389X9400500403


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