2015
DOI: 10.1515/amm-2015-0324
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The Effect Of Mechanical Interactions Between The Casting And The Mold On The Conditions Of Heat Dissipation: A Numerical Model

Abstract: We present a description of the effects of thermal interactions, which take into account formation of a shrinkage gap, that affect the level of stresses in a system casting -mold. Calculations were carried out in our own computer program which is an implementation of the finite element method used to solve the equations describing a thermo-elastic-plastic model of material and the heat conduction, including solidification. In the computing algorithm we use our own criteria for mechanical interaction between th… Show more

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Cited by 12 publications
(9 citation statements)
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“…The mechanical phenomena analysis in the elastic range was made using the equilibrium equations (1), which are supplemented by constitutive and Cauchy's equations (2), and boundary conditions (3). The mathematical model is based on solving the following system of equations [5,[8][9][10][11]:…”
Section: Mathematical Descriptionmentioning
confidence: 99%
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“…The mechanical phenomena analysis in the elastic range was made using the equilibrium equations (1), which are supplemented by constitutive and Cauchy's equations (2), and boundary conditions (3). The mathematical model is based on solving the following system of equations [5,[8][9][10][11]:…”
Section: Mathematical Descriptionmentioning
confidence: 99%
“…Displacement boundary conditions are used in the discussed problems [2][3][4][5][6][8][9][10][11]. The nodes located on the contact surface of the gantry crane beam with the support column on the right side of the beam can not displace in three directions (u x =u y =u z =0) and the left side in two directions (u x =u y =0) (Fig.…”
Section: Mathematical Descriptionmentioning
confidence: 99%
See 1 more Smart Citation
“…Equation (15) is completed by the initial condition and, boundary conditions of Dirichlet, Neumann and Newton type with the heat loss due to convection and radiation [15][16][17].…”
Section: Field Temperature Phase Transformations Kinetic Of Transfomentioning
confidence: 99%
“…Nowadays the ideal thermal contact and contact via the gap are the area of interest of many scientists. The appropriate description of the mentioned phenomenon is required in the analysis of the solidification problems where the mold and the casting are considered [5,6]. Numerical investigations based on the finite element method (FEM) in the case of air gap formation process Brought to you by | MIT Libraries Authenticated Download Date | 5/9/18 3:08 PM during solidification of pure metal was discussed in [7].…”
Section: Introductionmentioning
confidence: 99%