Modifications of the Mathematical Crisher Model for Effective Moduli of Two-Component Elastic Isotropic Composite

Abstract

The problem of determining the effective properties of composite materials is actual problem for deformable body mechanics. The model, proposed by Crisher for modeling effective values of the coefficient of thermal conductivity, has been considered. Modifications of this mathematical model for two-component elastic composite were built. Model of Hill-Budiansky compresses classic fork of Voigt-Reuss, if it is added by Voigt component. Expressions of hybrid effective characteristics through the use of effective Hashin-Shtrikman moduli are built. The accuracy is estimated depending on the type of modification of the effective characteristics for the calculation of the stress-strain state of bodies (two-layer shell and three-layer plate) made from composite materials. The results are compared with the exact classical solutions, and admissible concordance is achieved.

Digital X-Ray Flat Panel Housing for Operation at Extremely Low Temperatures

“…Thus, the highest von Mises stress is 16.5 MPa. It should be noted that PAEK polymers are characterized by rather high values of mechanical strength which exceed the similar values for ABS, PA (polyamide) and PC plastics [14][15][16]. The obtained values of the safety factor amount to not less than 4.12, that fully meets the requirements for mechanical strength of the housing walls with a complex inner structure which acts as a heat conductor.…”

The Hybrid Effective Modules of Viscoelastic Composites

“…where min t is the coordinate of minimum function ( ) t γ . The final formulation of relations for hybrid effective modules of viscoelasticity we obtain by substituting the expressions ( 5), (6) in relations (3), (4). The hybrid time-effective modules of Voigt and Reuss type have the form of…”

“…To describe the mechanical behavior of elastic composites, the new efficient characteristics, named hybrid modules, have been obtained in [6][7][8]. The hybrid modules are presented as a superposition of the models effective characteristics of Voigt and Reuss on the one hand, and Hashin, Shtrikman on the other.…”

Modification of polymeric materials for 3D printing of external panels of nanosatellites

“…In addition, under certain print modes the diameter of the strands is insufficient for fulfilling voids, i.e., material forms with stretched longitudinal cavities. Such material should be considered as orthotropic composite plastic, and the simulation of its properties can be carried out according to [8][9][10][11]. The external panels of nanosatellites are designed to operate in very severe conditions of outer space.…”