Analyzed with SOLIDWORKS Simulation Simulation of SP6_Central_Load 2
Description This report investigates the response of a composite carbon fibre tube under a central static load. Please refer to the image on page 1 for the general set-up. Further details of the set-up can be found on the next 15 pages of this report. The tube consists of 13 plies, comprised of 2 orthotropic materials, designated B and C respectively, the details of which are given on pages 5, 8, 9 and 10 of this report. The tube is simply supported at either end (in the sense that the tube’s ends can move freely along the tube’s central axis and can rotate freely about each of the three rotational degrees of freedom) and is of length 1,453mm, external diameter 64mm and internal diameter 57.1mm. The loading anvil is 30mm wide with 2.5mm filleted edges. The plies are treated as shells and simulated using the intrinsic composite static load functionality within SolidWorks Simulation. The principal aim of this report is to investigate the response of the tube under the Thai-Wu Failure Criterion (applicable here since we are considering materials with unequal strengths in tension and compression and the cross-fibre stresses are primarily in tension). This manifests itself as a worst-case minimum Factor of Safety across all plies, for a given static load. The static loads are increased up to the point where the Factor of Safety drops to approximately unity. We are particularly interested in which ply or plies these worst-case conditions occur. The results of this are presented graphically on pages 21 of this report. On page 23, we consider two load 2 load cases and present a tabulated list of Minimum Factors of Safety for each of the top and bottom faces of all 13 plies. We present further study results on pages 17-20. Additionally, the deflective response of the tube is represented graphically on page 22. Finally, we draw some conclusions, mainly about which ply or plies might be compromised under load. Note: The first 20 pages of this report cover details of the study performed at 1kN static load. These details are either identical or analogous at higher loadings.
Analyzed with SOLIDWORKS Simulation Simulation of SP6_Central_Load 3
Assumptions We assume that the tube is axially symmetric and radially homogeneous and isotropic. Additionally, we assume that the V-blocks remain stationary at all times during testing, and that the anvil moves purely vertically in translation with no subsequent rotation about any of its axes of symmetry.
Model Information
Model name: SP6_Central_Load Current Configuration: Default
Yield strength: 1.2e+009 N/m^2 Tensile strength in x: 1.5e+009 N/m^2 Tensile strength in y: 1.5e+009 N/m^2 Compressive strength
in x: 1.2e+009 N/m^2
Compressive strength in y:
1.2e+009 N/m^2
Elastic modulus in x: 1.35e+011 N/m^2 Elastic modulus in y: 1.35e+011 N/m^2 Elastic modulus in z: 1.35e+011 N/m^2 Poisson's ratio in xy: 0.3 Poisson's ratio in yz: 0.3 Poisson's ratio in xz: 0.3
Mass density: 1570 kg/m^3 Shear modulus in xy: 5e+009 N/m^2 Shear modulus in yz: 5e+009 N/m^2 Shear modulus in xz: 5e+009 N/m^2
Analyzed with SOLIDWORKS Simulation Simulation of SP6_Central_Load 9
Name: Material C Model type: Linear Elastic
Orthotropic Default failure
criterion: Max von Mises Stress
Yield strength: 1.2e+009 N/m^2 Tensile strength in x: 1.5e+009 N/m^2 Tensile strength in y: 1.5e+009 N/m^2 Compressive strength
in x: 1.2e+009 N/m^2
Compressive strength in y:
1.2e+009 N/m^2
Elastic modulus in x: 1.35e+011 N/m^2 Elastic modulus in y: 1.35e+011 N/m^2 Elastic modulus in z: 1.35e+011 N/m^2 Poisson's ratio in xy: 0.3 Poisson's ratio in yz: 0.3 Poisson's ratio in xz: 0.3
Mass density: 1570 kg/m^3 Shear modulus in xy: 5e+009 N/m^2 Shear modulus in yz: 5e+009 N/m^2 Shear modulus in xz: 5e+009 N/m^2
Shear strength: 5e+009 N/m^2
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Curve Data:N/A
Name: Material B Model type: Linear Elastic
Orthotropic Default failure
criterion: Max von Mises Stress
Yield strength: 4.25e+009 N/m^2 Tensile strength in x: 4.4e+008 N/m^2 Tensile strength in y: 4.4e+008 N/m^2 Compressive strength
in x: 4.25e+008 N/m^2
Compressive strength in y:
4.25e+008 N/m^2
Elastic modulus in x: 2.5e+010 N/m^2 Elastic modulus in y: 2.5e+010 N/m^2 Elastic modulus in z: 2.5e+010 N/m^2 Poisson's ratio in xy: 0.2 Poisson's ratio in yz: 0.2 Poisson's ratio in xz: 0.2
