The Analysis of Elasto-plastic Stresses in the Composite Laminate with a Circular Hole Subjected to In-plane Loads by Means of Finite Element Method

Abstract

In this study, the analysis of the elastic and elasto-plastic stresses on the cross section of a composite laminate with circular hole subjected to in-plane loads is performed. The laminate with a circular hole is subjected to a uniform axial planar load along one edge where no load is exerted along the hole edge. Aluminum metal-matrix composite laminate is composed of four orthotropic plates oriented with different angles in the symmetric and anti-symmetric manner. The elastic and elastoplastic stresses are analyzed with the Finite Element Method (FEM) by means of a program developed with FORTRAN. By the end of the analysis the retained stresses due to yield of the composite laminate are evaluated and the results of the applications are compared.

Keywords

elasto-plastic stress orthotropic composite material finite elements method

Get full access to this article

View all access options for this article.

References

Xiong, Y. (1998). A Stress Analysis Method for Bi-axially Loaded Fastener Hole in Composite Laminate of Finite Geometry , Journal of Applied Mechanics, 65: 787-790 .

Ozbay, M. (1999). Stress Analysis of Metal Matrix Laminated Plates Under In-plane Loading , Journal of the Institute of Science and Technology Gazi Uni., 12(3): 849-857 .

Fish, J. and Guttal, R. (1996). The s-version of Finite Element Method for Laminated Composites , International Journal for Numerical Methods in Engineering, 39: 3641-3662 .

Sundaresan, P. , Singh, G. and Rao, G. V. (1998). Buckling of Moderately Thick Rectangular Composite Plates Subjected to Partial Edge Compression , Int. J. Mech. Sci., 40(11): 1105-1117 .

Yamazaki, K. and Tsubosaka, N. (1997). A Stress Analysis Technique for Plate and Shell Built-up Structures with Junctions and its Applications to Minimum Weight Design of Stiffened Structures , Structural Optimization, 14: 173-183 .

Sadek, E. A. (1998). Some Serendipity Finite Elements for the Analysis of Laminated Plates , Computers & Structures, 69: 37-51 .

Karakuzu, R. and Sayman, O. (1993). Elasto-plastic Finite Element Analysis of Orthotropic Rotating Discs with Holes , Computers & Structures, 51(6): 695-703 .

Hyer, M. W. , Klang, E. C. and Cooper, D. E. (1987). The Effects of Pin Elasticity, Clearance and Friction on the Stresses in a Pin-loaded Orthotropic Plate , Journal of Composite Materials, 21: 190-205 .

Karakuzu, R. , Ozel, A. and Sayman, O. (1997). Elastic-plastic Finite Element Analysis of Metal Matrix Plates with Edge Notches , Computers & Structures, 63(3): 551-558 .

10.

Xiong, Y. (1996). An Analytical Method for Failure Prediction of Multi-fastener Composite Joints , Int. J. Solids Structures, 33(29): 4395-4409 .

11.

Rens, B. J. E. V. , Brekelmans, W. A. M. and Baaijens, F. P. T. (1998). Homogenization of the Elastoplastic Behavior of Perforated Plates , Computers & Structures, 69: 537-545 .

12.

Konish, H. J. and Whitney, J. M. (1975). Approximate Stresses in an Orthotropic Plate Containing a Circular Hole , Journal of Composite Materials, 9: 157-165 .

13.

Ozbay, M. (1997). Buckling of Laminated Plates with Semicircular Holes , Journal of the _ IInstitute of Science and Technology Gazi Uni., 10(3): 393-401 .

14.

Arslan, N. , Pihtili, H. and Gur, M. (2001). Elasto-plastic Stress Analysis of Thermoplastic Matrix Composite Laminated and Perforated Plates Under In-plane Loading , Journal of Reinforced Plastics and Composites, 20: 1222-1252 .

15.

Arslan, N. , Sancaktar, E. and Celik, M. (2000). Elasto-plastic Behavior of Thermoplastic Matrix Roller Chain Link Plates Reinforced with Steel Fibers , ASME 2000 Design Engineering Technical Conferences and Computers and Information in Engineering Conferences, 1-10 .

16.

Arslan, N. , Sancaktar, E. and Turgut, A. (1996). Elasto-plastic Finite Element Analysis of Isotropic Plates with U-notches , ASME (1996), International Mechanical Engineering Congress and Exposition, 92: 45-58 .

17.

Jong, T. (1977). Stresses Around Pin-loaded Holes in Elastically Orthotropic or Isotropic Plates , Journal of Composite Materials, 11: 313-331 .