Residual Stress Component Of Σx Research Articles

Numerical Elastic Plastic Stress Analysis in a Woven Steel Reinforced Composite Thermoplastic Cantilever Beam

In this study, an elastic-plastic stress analysis has been carried out in a thermoplastic composite cantilever beam. The thermoplastic composite beam was reinforced by steel woven fibers. The beam was loaded uniformly. The orientation angles were chosen as 0°, 15°, 30° and 45°. The finite element models of the beams were developed by using ANSYS software. The obtained results from the nonlinear analyses show that the residual stress component of σx is the highest at the fixed end at the upper and lower edges for the 0° orientation. However, it is the highest on or around the elastic plastic boundaries for the 15°, 30° and 45° orientations. The magnitude of the residual stress component of Τxy is found to be the highest at or around the axis of the beam at the fixed end. 30° orientation produces the highest stress component of Τxy around the axis of the beam. Also, it is found that the magnitude of the residual stress component of σx is higher that that of the Τxy.

An Elastic-Plastic Stress Analysis of Woven Ni-Cr Reinforced Thermoplastic Composite Cantilever Beam

In the present study an analytical elastic-plastic stress analysis is carried out for a low-density homogeneous polyethylene thermoplastic cantilever beam reinforced by Ni-Cr steel fibers. The beam is loaded by a constant single force at its free end. The expansion of the region and the residual stress component of σx are determined for 0°, 15° , 30° and 45° orientation angles. For 0 ° and 45° orientation angles yielding begins at the upper and lower surfaces of the beam, at the same distances from the free end. However, for 15° and 30° orientation angles it starts first at the upper surface. The elastic-plastic analysis is carried out for both the plastic region which spreads only at the upper surface and the plastic region which spreads at the upper and lower surfaces together. The residual stress components of σx and τxy are also determined. The intensity of the residual stress component is maximum at the upper and lower surfaces of the beam, but the residual stress component of τ xy is maximum on or around the x-axis. The beam can be strengthened by using the residual stresses. The distance between the plastically collapsed point and the free end is calculated for the same load in the beam for 0 °, 15°, 30° and 45° orientation angles.

An Elasto-Plastic Stress Analysis in a Polymer–Matrix Composite Beam Supported from Two Ends under Transverse Linearly Distributed Load by Use of Anisotropic Elasticity Theory

An analytical elasto-plastic stress analysis is carried out in a low-density polyethylenethermoplastic beam supported from two ends under transverse linearly distributed load reinforced by Cr–Ni steel fibers analytically. The material is assumed to be perfectly plastic for the elasto-plastic solution. The intensity of the uniform force is chosen at a small value; therefore, the normal stress component y is neglected in the elastic–plastic solution. The expansion of the plastic region and the residual stress component of σx and τxy are determined for 0, 30, 45, 60, and 90 orientation angles. The yielding begins at the upper and lower surfaces of the beam at the same distances from the ends. The intensity of residual stress component of x is maximum at the upper and lower surfaces but residual stress component of τxy is maximum on the x axis of the beam. The strength of the beam is increased by residual stresses.

Elastic-Plastic Stress Analysis in a Unidirectionally Reinforced Composite Cantilever Beam Loaded by a Bending Moment

In this study, an elastic-plastic stress analysis is carried out on a steel fiber thermoplastic composite cantilever beam loaded by a bending moment at the free end. The composite beam is reinforced unidirectionally at 0, 30, 45, 60 and 90° orientation angles. An analytical solution satisfying both the governing differential equation and the boundary conditions for the two-dimensional stress case is determined. The solution is carried out under the assumption of the Bernoulli-Navier hypotheses. It is found that the intensity of the residual stress component of σx is maximum at the upper and lower surfaces or at the boundary of the elastic and plastic regions. The composite material is assumed to be hardening linearly. The Tsai-Hill theory is used as the yield criterion.

Elastic-Plastic Stress Analysis of Thermoplastic Composite Beams Under Temperature Distributed Linearly

In this study, an elastic-plastic thermal stress analysis is carried out on a thermoplastic composite beam. Temperature is chosen to vary linearly along the sections of the beam. The beam is made of steel fibre thermoplastic matrix composite. It is fixed by two rigid planes at the ends. The solution is performed for 0°,45°,60° and 90° orientation angles. The orientation angle of 30° does not give any plastic yielding, for it melts before plastic yielding. The intensity of the residual stress component of σx is maximum at the upper and lower surfaces of the beam and is obtained to be the greatest for the orientation angle of 0°. The equivalent plastic strain is found to be the greatest for 0° and 60° orientation angles. Plastic yielding begins on the beam at the highest temperature for 45° orientation angle.

An Elasto-Plastic Stress Analysis on a Metal Matrix Composite Beam of Arbitrary Orientation Supported from Two Ends under a Transverse Uniformly Distributed Load

An analytical elastic-plastic stress analysis is carried out on a metal-matrix composite beam of arbitrary orientation supported from two ends under a transverse uniformly distributed load. The composite layer consists of stainless steel fiber and aluminum matrix. The material is assumed to be perfectly plastic in the elasto-plastic solution. The intensity of the uniform force is chosen at a small value; therefore the normal stress component of σy is neglected during the elasto-plastic solution. The expansion of the plastic region and the residual stress component of σx are determined for 0°, 30°, 45°, 60° and 90° orientation angles. Plastic yielding occurs for 0° and 90° orientation angles on the lower and upper surfaces of the beam at the same distances from the mid point. However; it starts first at the lower surface for 30°, 45° and 60° orientation angles. The intensity of the residual stress component of σx is found maximum at the lower and upper surfaces. However; the intensity of residual stress component τxy is maximum on or around the x axis of the beam.

An Analytical Elastic-Plastic Stress Analysis for a Steel Fibre Reinforced Thermoplastic Composite Beam Subjected to Thermal Loading

This paper is concerned with a thermal elastic-plastic stress analysis on a steel fibre reinforced thermoplastic matrix composite beam fixed at its to ends. Temperature varying linearly is chosen at the upper and lower surfaces to be zero and T0, respectively. The solution is performed at 0, 60, 75 and 90° orientation angles. Plastic yielding does not occur at 30 and 45° orientation angles. It is found that the intensity of the residual stress component of σx and the equivalent plastic strain are maximum at the lower surface of the beam. The intensity of the residual stress is maximum at 0° orientation angle. The intensity of the equivalent plastic strain is found to be the greatest at 60° orientation angle.

An Elasto-Plastic Stress Analysis in a Polymer Matrix Composite Beam of Arbitrary Orientation Subjected to Transverse Uniformly Distributed Load

Polymer matrix composite beam of arbitrary orientation subjected to transverse uniformly distributed load is studied by an analytical elasto-plastic stress analysis. In the elasto-plastic solution, the material is assumed to be perfectly plastic. A composite consisting of fiber reinforced polymer matrix was produced for this work. The expansion of the plastic region and the residual stress component of are determined for 0°, 30°, 45°, 60° and 90° orientation angles. The yielding begins for 0° and 90° orientation angles at the upper and lower surfaces of the beam at the same distances from the free end. But, it starts first at the upper surface for 30°, 45° and 60° orientation angles. Sample problems are given for various orientation angles, x axis of the beam is used to obtain the location of the elasto-plastic boundary and to calculate elastic, elasto-plastic and residual normal and shear stresses. The intensity of the residual stress component of τxy is maximum on or around the x axis of the beam but the residual stress component of σx is maximum at the upper and lower surfaces.