Modeling Crack Initiation in a Composite Under Bending
Journal Title: Проблеми машинобудування - Year 2018, Vol 21, Issue 2
Abstract
It is known that multi-component structures are more reliable and durable than homogeneous ones. At the design stage of new structures from composite materials, it is necessary to take into account the cases when cracks may appear in the material. The purpose of this paper is to construct a computational model for a binder-inclusion composite body, which makes it possible to calculate the limiting external bending loads at which cracking occurs in a composite. A thin plate of elastic isotropic medium (matrix) and inclusions (fibers) from other elastic material, distributed in the plate under bending, is considered. A mathematical description of a crack initiation model in a binder composite under bending is carried out. The theory of analytic functions and the method of power series are used. The determination of the unknown parameters characterizing an initial crack reduces to solving a singular integral equation. A closed system of nonlinear algebraic equations is constructed, whose solution helps to predict cracks in a composite under bending, depending on the geometric and mechanical characteristics of both the binder and the inclusions. The criterion of crack initiation in a composite under the influence of bending loads is formulated. The size of the limiting minimum pre-fraction zone, at which crack initiation occurs is recommended to be considered as a design characteristic of a binder material.
Authors and Affiliations
Sh. G. Hasanov
Keywords
Related Articles
- EP ID EP622072
- DOI 10.15407/pmach2018.02.025
- Views 116
- Downloads 0
Heat Transfer During Subcooled Boiling in Tubes (A Review)
This article provides a review of the correlations and models for determining the intensity of heat transfer during subcooled boiling in pipes. As a rule, correlations are based on dimensionless similarity numbers, while...
Minimization of the Stressed State of a Stringer Plate with a Hole and Rectilinear Cracks
As is known, thin plates with holes are one of the most common structural ele-ments. To increase their reliability and service life, it is of interest to find such a hole contour that ensures the minimum circumferential...
Use of Refined Finite Element Models for Solving the Contact Thermoalasticity Problem of Gas Turbine Rotors
A refined mathematical model of gas turbine engine rotors using three-dimensional finite elements of a curvilinear form is developed. All the calculations were performed for rotors, which are widely used in power machine...
Modeling Heat and Mass Exchange Processes in Metal-hydride Installations
Hydrogen as an environmentally friendly energy carrier is increasingly used in various sectors of the economy of industrialized countries, primarily to improve the environmental situation. Regardless of the field of appl...
Thermal and Stress State of the Steam Turbine Control Valve Casing, with the Turbine Operation in the Stationary Modes
The purpose of this paper is to determine the most stressful zones and assess the possibility of plastic deformations of the control valve casing in its crack forma-tion zones, with the K-325 steam turbine operation in t...