MATHEMATICAL MODEL OF COMPOSITE MATERIALS FORMATION

2017 ◽  
Author(s):  
Gulmira Yar-Mukhamedova
Keyword(s):  
Mathematical Model ◽  
Composite Materials

Mathematical Models for Calculation of Crack Resistance of Composite Materials

2017 ◽  
Vol 736 ◽  
pp. 68-72
Author(s):  
Sergey I. Koryagin ◽  
Oleg V. Sharkov ◽  
Nikolay L. Velikanov
Keyword(s):  
Mathematical Model ◽  
Composite Materials ◽  
Crack Propagation ◽  
Mathematical Models ◽  
Crack Resistance ◽  
Energy Criterion ◽  
Independent Parameter ◽  
Radius Of Curvature ◽  
Experimental Setup ◽  
Type I

Crack resistance is an important parameter determining the carrying capacity and durability of composite materials in which as a binding element apply adhesive compositions. Estimation of crack resistance is usually carried out using an energy criterion – specific energy of crack propagation. Existing mathematical models to determine the value of crack resistance do not always give reliable results, because they can contain several dependent variables. In the article the mathematical models of the two types for calculation of crack propagation energy, which includes only one independent parameter, which needs to be defined experimentally are received. For the mathematical model of type I on the experimental setup it is necessary to define value of bending moment at which the formation of crack. Use of mathematical model of II type does not demand experimental setup as independent parameter is the radius of curvature of the bent beams.

Analysis of Thermal Conduction Effects on Thermoelastic Temperature Measurements for Composite Materials

1992 ◽  
Vol 59 (3) ◽  
pp. 552-558 ◽  
Author(s):  
S. A. Dunn
Keyword(s):  
Heat Transfer ◽  
Experimental Data ◽  
Mathematical Model ◽  
Composite Materials ◽  
Surface Stress ◽  
Thermal Conduction ◽  
Dissimilar Materials ◽  
Stress Fields ◽  
Temperature Changes ◽  
The Mathematical Model

Measurement of the temperature changes which occur as a body undergoes a change in stress is becoming a widely used technique for the analysis of surface stress fields. In this paper, an investigation into the effects of thermal conduction on surface thermoelastic temperature changes for composite materials is reported. A mathematical model which shows the effects of thermal conduction is developed, and the results from this model are compared with experimental data. The mathematical model is then extended to solve for heat transfer between two thermally dissimilar materials. It is shown how this model can be used to account for the effects of a surface epoxy layer on the observed thermoelastic temperature changes.

Mathematical Model of Sintering of Powder Solids

2006 ◽  
Vol 258-260 ◽  
pp. 101-106 ◽  
Author(s):  
A.N. Dmitriev ◽  
V.I. Bulanov
Keyword(s):  
Mathematical Model ◽  
Composite Materials ◽  
Mathematical Modelling ◽  
Chemical Characteristics ◽  
Structure And Properties ◽  
Technological Parameters ◽  
Physical And Chemical Characteristics ◽  
Physical And Chemical ◽  
Multicomponent Materials

Reduction and sintering are complicated processes demanding use of mathematical modelling - consolidation of multicomponent materials. The most representative of them are products formed during consolidation during sintering of powders. They have common physical and chemical characteristics both from the viewpoint of initial (multicomponent) materials, and from the viewpoint of technological parameters. Such processes simultaneously involve both the reduction and the sintering with simultaneous consolidation of particles into materials. The sintering of powders of crystals is a flexible and effective way of production of polycrystalline composite materials with a given structure and properties. In this paper a mathematical model of the process of sintering suggested by us is considered.

Mathematical model of the solid-phase extrusion of polymeric composite materials

1996 ◽  
Vol 31 (6) ◽  
pp. 593-597
Author(s):  
Ya. E. Beigel'zimer ◽  
V. A. Beloshenko ◽  
A. P. Borzenko ◽  
V. N. Varyukhin
Keyword(s):  
Mathematical Model ◽  
Composite Materials ◽  
Solid Phase ◽  
Polymeric Composite ◽  
Polymeric Composite Materials

scholarly journals MATHEMATICAL MODEL ON THE FIRST STAGE OF PRODUCTION OF CERTAIN TYPES OF COMPOSITE MATERIALS IN THE INSTALLATION SCHOLZ

2016 ◽  
Vol 6 (1) ◽  
pp. 54-57
Author(s):  
I.A. Akimov ◽  
◽  
A.I. Akimov ◽  
E.O. Karakulina ◽  
◽  
...  
Keyword(s):  
Mathematical Model ◽  
Composite Materials

The Choice of Diagnostic Symptom on the Basis of Mathematical Model Analysis

2014 ◽  
Vol 1036 ◽  
pp. 598-603
Author(s):  
Bogumił Chiliński ◽  
Damian Markuszewski
Keyword(s):  
Mathematical Model ◽  
Composite Materials ◽  
Model Analysis ◽  
The Past ◽  
Mathematical Model Analysis ◽  
Composite Steel

Composite mast with rigging system is an example of a complex composite-steel system. The implementation of modern constructional materials such as composite materials in order to construct the composite masts has some consequences. Composites have different properties than materials such as wood (in the past), steel or aluminium which are usually used in construction of the masts.

scholarly journals MATHEMATICAL MODEL OF THERMAL COUPLING BETWEEN THE LAYERS IN COMPOSITE MATERIALS

2017 ◽  
Vol 7 (1) ◽  
pp. 58-62
Author(s):  
V. N. Abuzyarov ◽  
◽  
V. N. Eliseev ◽  
E. N. Сhernoprudova ◽  
◽  
...  
Keyword(s):  
Mathematical Model ◽  
Composite Materials ◽  
Thermal Coupling

scholarly journals Development of a mathematical model to demonstrate the impact on the fan blades of a high dual-circuit turbofan engine

2021 ◽  
Vol 2094 (4) ◽  
pp. 042054
Author(s):  
D S Shavelkin ◽  
V A Kaigorodova
Keyword(s):  
Mathematical Model ◽  
Composite Materials ◽  
Strain State ◽  
Turbine Engines ◽  
Gas Turbine Engines ◽  
Foreign Object ◽  
Turbofan Engine ◽  
Foreign Objects ◽  
High Degree ◽  
The Impact

Abstract A mathematical model describing the impact of a foreign object (bird) on the fan blades of a turbofan engine with a high degree of dual circuitry was developed. The validation of the calculation studies was evaluated based on the examination on the prototype engine. Considering the increasing application of composite materials in the designs of prospective aviation gas-turbine engines and assuming the importance of the issue related to providing a sufficient level of airworthiness special attention is paid to the modeling and assessment of the condition of composite fan blades. In this connection the developed model allows to investigate the stress-strain state of the blades made of different, including composite materials, of the fan under the influence of foreign objects and birds on them.

Buckling Problems of Structurally-Anisotropic Composite Panels of Aircraft with Influence of Production Technology

2019 ◽  
Vol 971 ◽  
pp. 45-50 ◽  
Author(s):  
Lubov' Mikhailovna Gavva
Keyword(s):  
Mathematical Model ◽  
Composite Materials ◽  
Stressed State ◽  
Computer Program ◽  
Trigonometric Series ◽  
Production Technology ◽  
Critical Force ◽  
Thin Walled ◽  
Definition Of ◽  
The Mathematical Model

The different approaches were analyzed to investigate the buckling problems of structurally-anisotropic panels made from composite materials. Aircraft composite structure design in the field of production technology is the outlook research trend. New mathematical model relations for the buckling investigation of structurally-anisotropic panels comprising composite materials are presented in this study. The primary scientific novelty of this research is the further development of the theory of thin-walled elastic ribs related to the contact problem for the skin and the rib with an improved rib model. One considers the residual thermal stresses and the preliminary tension of the reinforcing fibers with respect to panel production technology. The mathematical model relations for the pre-critical stressed state investigation of structurally-anisotropic panels made of composite materials are presented. Furthermore, the mathematical model relations for the buckling problem investigation of structurally-anisotropic panels made of composite materials are presented in view of the pre-critical stressed state. The critical force definition of the general bending form of the thin-walled system buckling and the critical force definition of the many-waved torsion buckling are of the most interest in accordance with traditional design practices. In both cases, bending is integral with the plane stress state. Thus, the buckling problem results in the boundary value problem when solving for the eighth order partial derivative equation in the rectangular field. The schematization of the panel as structurally-anisotropic has been proposed as a design model when and the critical forces of total bending form of buckling are determined. For a many-waved torsion buckling study, one should use the generalized functions set. The solution is designed by a double trigonometric series and by unitary trigonometric series. A computer program package is developed using the MATLAB operating environment. The computer program package has been utilized for multi-criteria optimization of the design of structurally-anisotropic aircraft composite panels. The influence of the structure parameters on the level of critical buckling forces for bending and for torsion modes has been analyzed. The results of testing series are presented.

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