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2 Computer Methods in Materials Science

2 2018

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Nonlinear dynamic analysis of axially moving porous FG plate subjected to local force with kinetic dynamic relaxation method

Esmaeilzadeh Mostafa, Kadkhodayan Mehran

Computer Methods in Materials Science

2018

Vol. 18, No. 1

18--28

In some engineering applications like moving ships the axially moving FG structures have to be investigated. In this paper, the nonlinear response and stability of an axially moving porous FGM plate under a local concentrated load are studied. The plate is made of materials whose properties are assumed to be graded in the thickness direction. To take the effect of porosity into account, the modified rule of mixture is chosen to calculate the effective material properties. The kinetic dynamic relaxation method along with the implicit Newmark integration are used to solve the nonlinear dynamic equations. Finally, the effect of material gradient index, porosity volume fraction and boundary conditions on dynamic deflection and instability of plate are discussed.

Application of the immune algorithm IRM for solving the inverse problem of metal alloy solidification including the shrinkage phenomenon

Zielonka Adam, Hetmaniok Edyta, Słota Damian

Computer Methods in Materials Science

2018

Vol. 18, No. 1

1--10

In the paper the mathematical model of the inverse one-dimensional problem of binary alloy solidification, with the material shrinkage phenomenon taken into account, is defined. The process is described by using the model of solidification in the temperature interval, whereas the shrinkage of material is modeled basing on the mass balance equation. The inverse problem consists in reconstruction of the heat transfer coefficient on the boundary of the casting mould separating the cast from the environment. Lack of this data is compensated by the measurements of temperature in the control point located inside the mould. The method of solving the investigated problem is based on two procedures: the implicit scheme of finite difference method supplemented by the procedure of correcting the field of temperature in the vicinity of liquidus and solidus curves and the immune optimization algorithm IRM.