Oscillation of Impulsive Hyperbolic Differential Equations with Distributed Delay

Sadhasivam, V.; Kalaimani, T; Logaarasi, K.

doi:10.15613/sijrs/2017/v4i1/172389

Cited by 2 publications

(1 citation statement)

References 14 publications

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“…MIMICS Materialise is a useful viewing and segmenting tool for scanned images from CT or MRI and 3D rendering of images, and more Mimics can be used to diagnose and plan the surgery [7].…”

Section: Design Prototype-general Principesmentioning

confidence: 99%

Additive manufacturing in maxillofacial reconstruction

2017

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Abstract. In this paper the benefits of using additive manufacturing technologies in maxillofacial reconstruction are highlighted. Based on a real clinical case, the paper describes the manufacture of an implant prototype replacing the right zygomatic bone and a part of maxilla using additive manufacturing technologies. The face is the most expressive part of the human body that makes us unique. It was shown that the maxillofacial prostheses help to improve the psychological state of patients affected by, because low self esteem feeling appears commonly to this patients with the facial defects. The aim of this paper is to show how using additive manufacturing technologies methods within this research, the producing a surgical model will help surgeon to improve the pre-operative planning. For this we used additive manufacturing technologies such as Stereolitography to achieve the biomodel and FDM-fused deposition modelling to obtain a prototype model because these technologies make it possible to obtain prosthesis according to the physical and mechanical requirements of the region of implantation.

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“…MIMICS Materialise is a useful viewing and segmenting tool for scanned images from CT or MRI and 3D rendering of images, and more Mimics can be used to diagnose and plan the surgery [7].…”

Section: Design Prototype-general Principesmentioning

confidence: 99%

Additive manufacturing in maxillofacial reconstruction

2017

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Cylindrical body temperature field simulation which made in the transitional thermal process conditions out of polymer material

Petrova

Gavrilova

2020

Russian journal of transport engineering

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The advancing requirements for strength, relaxation, thermophysical, electrical, and other structural elements characteristics actualizes the polymer composite material use for the soft part and node point manufacture, which improves performance index. This paper reported the need to take into account relaxation phenomena in predicting the body’s thermal field development that is made of polymeric materials, and the thermal relaxation time and the thermal damping time proportional to the duration of transient thermal process certain periods. In this article three-period thermal process in a cylindrical body mathematical model is presented. cylindrical body made of a low-heat-conducting material by using a heat conduction hyperbolic equation that is reflecting the heat flow relaxation and thermal damping phenomenon. A numerical solution to the problem of unsteady heat conduction in a circular disk for a two-phase delay equation is presented, which is based on the grid method implementation by using a three-layer implicit difference scheme and the finite difference method use. Calculation formulas for the run-through coefficients as well as the temperature values at the outer boundaries are concluded using the boundary conditions approximation for the intermediate and upper time layers, taking into account the multi-period of the process. The implementation of the modified run-through method when solving the non-stationary heat conduction problem in a cylindrical body, taking into account the finite heat propagation speed and thermal damping is described. The calculation results for the cylindrical body temperature field are obtained by using the polymethyl methacrylate example upon sudden heating based on a model with a two-phase delay. The results presented in this paper aid in an increase in predicting temperature field accuracy in polymer composite materials in the transient thermal processes study.

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Oscillation of Impulsive Hyperbolic Differential Equations with Distributed Delay

Cited by 2 publications

References 14 publications

Additive manufacturing in maxillofacial reconstruction

Additive manufacturing in maxillofacial reconstruction

Cylindrical body temperature field simulation which made in the transitional thermal process conditions out of polymer material

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