کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1704747 | 1012414 | 2011 | 11 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A second-order conservational difference scheme for the one-dimensional model of martensitic transformations with nonlinear boundary conditions A second-order conservational difference scheme for the one-dimensional model of martensitic transformations with nonlinear boundary conditions](/preview/png/1704747.png)
In this work, the one-dimensional equilibrium model of martensitic transformations with nonlinear boundary conditions is considered. Some a prior energy identities are obtained by a rigor mathematical analysis. A second-order conservational difference scheme is proposed and solved by the iterative method. Its efficient implement is carried out and the fixed and the random initial input are discussed. Moreover, a convergence criterion based on the total free energy and the Landau energies are proposed, which can be also used to other iterative method. The solution with nonlinear boundary conditions is obtained. The simulation of the surface martensite, the thermoelastic (shape memory) and the nonthermoelastic martensite formations and the autocatalysis are performed.
Journal: Applied Mathematical Modelling - Volume 35, Issue 7, July 2011, Pages 3484–3494