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Stress Analysis of in Cross-ply Laminates in Bending

Yazdani Sarvestani, Hamid Reza | 2010

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 40880 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Nosier, Asghar
  7. Abstract:
  8. In the present study, an analytical solution is developed to calculate the interlaminar stresses in long generally cross-ply laminated composite plates subjected to bending. At first, upon the integration of the strain-displacement relations and using the existing patterns in deformation of the long laminate, the general displacement field is extracted and simplified to the final form. Presented solution is based on a combined method containing the equivalent single-layer (ESL) theories beside the Reddy’s layerwise theory. In this method, the equivalent single-layer theories are utilized because of their simplicity and low computational efforts rather than the layerwise theory in evaluation of the global parts of the deformation. For this reason, we use first-order shear deformation theory (FSDT) to calculate the existing constants in the elasticity field of deformation which actually describe the global deformation of the plate. Since it is also possible to calculate them by means of the layerwise theory, we can advantageously check the efficiency of the used theory with it as a benchmark. Based on the numerical comparisons, it is clear that the utilized theories have enough accuracy to assess the constants appeared in the elasticity field. After that, the interlaminar stresses are found through the laminate by use of the layerwise theory and the results obtained by FSDT. Several numerical examples are provided to study the interlaminar stresses in generally laminated plates under bending. Numerical investigations show a concentrated stress field in the boundary-layer region and also significant amounts for these stresses at the free edges. Finally, the computed results are compared with those obtained from the equivalent single-layer theories. All results indicate high stress gradients of interlaminar normal and shear stresses near the edge of laminates.

  9. Keywords:
  10. Interlaminar Stress ; Bending Moment ; Edge Effect ; Cross-Ply Laminate ; First-Order Shear Deformation Theory ; Layerwise Theory ; Equivalent Single Layer Theory

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