Modeling of thermal contact through gap with the use of Finite Element Method

Węgrzyn-Skrzypczak, Ewa; Skrzypczak, Tomasz

doi:10.17512/jamcm.2015.4.15

Cited by 9 publications

(8 citation statements)

References 8 publications

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“…The numerical model uses finite element method in the weighted residuals formulation [5,[8][9][10][11][12]. Equation 1is multiplied by the weighting function and integrated over the entire region.…”

Section: Mathematical Descriptionmentioning

confidence: 99%

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The effect of the gantry crane beam cross section on the level of generated stresses

2018

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The gantry cranes are currently one of the most popular devices to transporting loads. They can be used in many industries. This study focuses on the numerical analysis of only the portable gantry crane. The mathematical and numerical model of mechanical phenomena in the gantry crane beam was presented in this paper. This problem was solved by using of the Finite Element Method (FEM). The analysis was made to the cross-section of gantry crane beam which was the I-beam or box beam. The numerical simulations are limited to numerical analysis of strength of the gantry crane beam which was loaded by the motion of the load force along its length. As a result of the calculations, the stresses and displacements of the structure of gantry crane were obtained. The influence of beam shape change and changing the loading force position on generate the equivalent stress in the crane beam was evaluated. The research performed, which allows the estimated of the stress state, pointing out the critical areas and values, were made in order to increase the strength of the structure of the gantry crane.

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Section: Mathematical Descriptionmentioning

confidence: 99%

“…Equation 1is multiplied by the weighting function and integrated over the entire region. As the result of using Ostrogradsky-Gauss-Green's theorem and Galerkin's method, which were described in the work [12], the following matrix equation is obtained [5,[8][9][10][11]:…”

Section: Mathematical Descriptionmentioning

confidence: 99%

The effect of the gantry crane beam cross section on the level of generated stresses

2018

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“…The temperature field and liquid material velocity field are determined on the basis of the solution of mass, momentum and energy conservation equations. The motion of melted material in the fusion zone is mainly generated by natural convection according to Boussinesq model [12][13][14][15]. Mathematical model assumes fuzzy solidification front between solidus and liquidus temperatures where liquid material motion is treated as a fluid flow through porous medium with respect to Darcy's model.…”

Section: Numerical Solutionsmentioning

confidence: 99%

Computer simulations of thermal phenomena in surface heating process using the real distribution of Yb:YAG laser power

et al. 2018

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This work concerns mathematical and numerical modelling of temperature field during Yb:YAG laser heating of sheets made of S355 steel with the motion of liquid steel in the fusion zone taken into account. Laser power distribution and the caustics are determined on the basis of the geostatistical kriging method. Temperature field and melted material velocity field in the fusion zone are obtained from the numerical solution of continuum mechanics equations using projection method and finite volume method. Numerical algorithms are implemented into computer solver using ObjectPascal programming language. Computer simulations of Yb:YAG laser heating process are performed for different process parameters. Characteristic zones of experimentally obtained cross sections of heated elements are compared to numerically predicted fusion zone and heat affected zone.

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“…Obtained displacements are necessary to compute local width of the gap which determines thermal resistance between the mold and the casting. The procedure of incorporating the thermal contact boundary condition (9) into equations (11), (12) was discussed in [11].…”

Section: Numerical Modelmentioning

confidence: 99%

Computer Simulation of the Solidification Process Including Air Gap Formation

Skrzypczak

Węgrzyn-Skrzypczak

Sowa

2017

Archives of Foundry Engineering

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The paper presents an approach of numerical modelling of alloy solidification in permanent mold and transient heat transport between the casting and the mold in two-dimensional space. The gap of time-dependent width called "air gap", filled with heat conducting gaseous medium is included in the model. The coefficient of thermal conductivity of the gas filling the space between the casting and the mold is small enough to introduce significant thermal resistance into the heat transport process. The mathematical model of heat transport is based on the partial differential equation of heat conduction written independently for the solidifying region and the mold. Appropriate solidification model based on the latent heat of solidification is also included in the mathematical description. These equations are supplemented by appropriate initial and boundary conditions. The formation process of air gap depends on the thermal deformations of the mold and the casting. The numerical model is based on the finite element method (FEM) with independent spatial discretization of interacting regions. It results in multi-mesh problem because the considered regions are disconnected.

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Modeling of thermal contact through gap with the use of Finite Element Method

Cited by 9 publications

References 8 publications

The effect of the gantry crane beam cross section on the level of generated stresses

The effect of the gantry crane beam cross section on the level of generated stresses

Computer simulations of thermal phenomena in surface heating process using the real distribution of Yb:YAG laser power

Computer Simulation of the Solidification Process Including Air Gap Formation

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