An Analytical Method for Elastic-Plastic Stress in a Thermoplastic Composite Cantilever Beam Subjected to Bias-Axis Tension Load

2005 ◽  
Vol 219 (10) ◽  
pp. 1017-1026 ◽  
Author(s):  
X Wang ◽  
K Dong ◽  
J Xiao
Keyword(s):  
Finite Element ◽  
Analytical Solution ◽  
Cantilever Beam ◽  
Composite Beam ◽  
Steel Fibre ◽  
Thermoplastic Composite ◽  
Hardening Material ◽  
Elastic Plastic ◽  
Tension Load ◽  
Plastic Stress

The paper presents an elastic-plastic stress analysis for a woven steel fibre-reinforced thermoplastic composite cantilever beam subjected to bias-axis tension load. A polynomial stress function is utilized to satisfy both the governing differential equation in the plane stress case and the corresponding boundary conditions for elastic-plastic deformation. An analytical solution for the elastic-plastic problem of the composite beam is obtained by means of Tsai-Hill strength theory of anisotropic material. The composite beam is composed of a steel fibre reinforced low-density polyethylene thermoplastic matrix with exponent hardening material property. In contrast, an elastic-plastic finite element for the same problem is also carried out by applying ANSYS finite element analysis system. Comparing the analytical solution with the finite element solution, it can be found that two kinds of results obtained by making use of two different solving methods are suitably approached. Finally, some examples for thermoplastic composite cantilever beams with two kinds of volume percentage of fibres are carried out and the corresponding results are discussed.

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

2002 ◽  
Vol 21 (2) ◽  
pp. 175-176
Author(s):  
Onur Sayman ◽  
Mesut Uyaner ◽  
Necmeitin Tarakçioglu
Keyword(s):  
Stress Analysis ◽  
Cantilever Beam ◽  
Yield Criterion ◽  
Stress Component ◽  
Bending Moment ◽  
Thermoplastic Composite ◽  
Plastic Deformations ◽  
Elastic Plastic ◽  
Governing Differential Equation ◽  
Plastic Stress

In this study, an elastic-plastic stress analysis is carried out in a thermoplastic composite cantilever beam loaded by a bending moment at the free end. The composite beam is reinforced unidirectionally by steel fibers at 0, 30. 45, 60, and 90° orientation angles. An analytical solution is performed for satisfying both the governing differential equation in the plane stress case and boundary conditions for small plastic deformations. 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 σ x 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 as hardening linearly. The Tsai-Hill theory is used as a yield criterion.

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

2002 ◽  
Vol 21 (2) ◽  
pp. 175-192
Author(s):  
Onur Sayman ◽  
Mesut Uyaner ◽  
Necmettin Tarakçioglu
Keyword(s):  
Stress Analysis ◽  
Cantilever Beam ◽  
Yield Criterion ◽  
Stress Component ◽  
Bending Moment ◽  
Thermoplastic Composite ◽  
Plastic Deformations ◽  
Elastic Plastic ◽  
Governing Differential Equation ◽  
Plastic Stress

In this study, an elastic-plastic stress analysis is carried out in a thermoplastic composite cantilever beam loaded by a bending moment at the free end. The composite beam is reinforced unidirectionally by steel fibers at 0, 30, 45, 60, and 90° orientation angles. An analytical solution is performed for satisfying both the governing differential equation in the plane stress case and boundary conditions for small plastic deformations. 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 σ x 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 as hardening linearly. The Tsai-Hill theory is used as a yield criterion.

An Elastic-Plastic Stress Analysis in a Thermoplastic Composite Cantilever Beam Loaded Uniformly

2001 ◽  
Vol 14 (6) ◽  
pp. 523-538 ◽  
Author(s):  
Onur Sayman ◽  
Nurettin Arslan ◽  
Hasim Pihtili
Keyword(s):  
Residual Stress ◽  
Stress Analysis ◽  
Cantilever Beam ◽  
Stress Component ◽  
Plastic Region ◽  
Orientation Angle ◽  
Axial Direction ◽  
Thermoplastic Composite ◽  
Elastic Plastic ◽  
Plastic Stress

In this study an elastic-plastic stress analysis is carried out on a steel fiber reinforced thermoplastic composite cantilever beam loaded uniformly at the upper surface. An analytical solution is found satisfying both the governing differential equation in two dimensional case and boundary conditions. In this solution, the intensity of the uniform force is chosen small, therefore the transversely normal stress component is neglected in comparison with the other stress components. The thermoplastic matrix is reinforced unidirectionally by steel fibers. The orientation angles of the fibers are chosen as 0°, 30°, 45°, 60° and 90°. The plastic region begins first at the upper surface of the beam for 30° and 45° orientation angles. However, it starts earlier at the lower surface for 60° orientation angle. The intensity of the normal residual stress component in the axial direction of the beam is maximum at the upper and/or lower surfaces in the beam. The intensity of the shear residual stress is maximum on or around the axial axis of the beam.

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