The computation of the dynamics of the martensitic transformation

作者: P. Klouček , M. Luskin

DOI: 10.1007/BF01135254

关键词: Structural materialCondensed matter physicsComputationMaterials scienceClassical mechanicsCauchy stress tensorDiffusionless transformationAlloyDynamics (mechanics)MartensiteMicrostructureGeneral Physics and AstronomyGeneral Materials ScienceMechanics of Materials

摘要: We present numerical computations for the dynamics of development twinned martensitic microstructure and propagation austeniticfinely interface. Our approximated a threedimensional model In-20.7 at% T1 alloy which used stress tensor derived from Ericksen-James energy density.

参考文章(20)
Charles Collins, Computation of Twinning IMA. ,vol. 54, pp. 39- 50 ,(1993) , 10.1007/978-1-4613-8360-4_3
Mitchell Luskin, Charles Collins, The computation of the austenitic-martensitic phase transition PDEs and Continuum Models of Phase Transitions. ,vol. 344, pp. 34- 50 ,(1989) , 10.1007/BFB0024934
Piotr Rybka, Dynamical modelling of phase transitions by means of viscoelasticity in many dimensions Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 121, pp. 101- 138 ,(1992) , 10.1017/S0308210500014177
J.L. Ericksen, Constitutive theory for some constrained elastic crystals International Journal of Solids and Structures. ,vol. 22, pp. 951- 964 ,(1986) , 10.1016/0020-7683(86)90030-2
Z.S. Basinski, J.W. Christian, Experiments on the martensitic transformation in single crystals of indium-thallium alloys Acta Metallurgica. ,vol. 2, pp. 148- 166 ,(1954) , 10.1016/0001-6160(54)90104-2
Michel Chipot, David Kinderlehrer, Equilibrium configurations of crystals Archive for Rational Mechanics and Analysis. ,vol. 103, pp. 237- 277 ,(1988) , 10.1007/BF00251759
Charles Collins, David Kinderlehrer, Mitchell Luskin, Numerical approximation of the solution of variational problem with a double well potential SIAM Journal on Numerical Analysis. ,vol. 28, pp. 321- 332 ,(1991) , 10.1137/0728018
J. M. Ball, R. D. James, Fine phase mixtures as minimizers of energy Archive for Rational Mechanics and Analysis. ,vol. 100, pp. 13- 52 ,(1987) , 10.1007/BF00281246
Pieter J. Swart, Philip J. Holmes, Energy minimization and the formation of microstructure in dynamic anti-plane shear Archive for Rational Mechanics and Analysis. ,vol. 121, pp. 37- 85 ,(1992) , 10.1007/BF00375439
Robert L. Pego, Phase transitions in one-dimensional nonlinear viscoelasticity: admissibility and stability Archive for Rational Mechanics and Analysis. ,vol. 97, pp. 353- 394 ,(1987) , 10.1007/BF00280411