Thermoplastic Matrix Plates in Elasto-Plastic Finite Element Analysis

Abstract

A two-dimensional finite element computer program is developed for elasto and elasto-plastic analysis. The analysis of the semicircular and “U” shaped edge notched plates manufactured from steel-thermoplastic composite is made under the uniform tension loads. Isoparametric quadrilateral element with four and nine nodes is used with Lagrange polynomial as an interpolation function. An initial stress method (modified Newton-Raphson) is used to determine elasto-plastic stresses in the finite element solution. Distribution of the plastic regions near the notch and variations of residual stresses are investigated in different orientation angles and loads for steel-thermoplastic composite plates with edge notches.

Keywords

elasto-plastic deformation residual stress reinforced thermoplastics notched composite plate finite element method

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References

Neuber, H.

, 1958, Kerbspanmungslehre, 2nd Ed., Springer-Verlag, 38-66, Berlin.

Zienkiewicz, O.C.

Valliappan, S.

and

King, I.P.

, 1969, International Journal for Numerical Methods in Engineerng, Elasto-Plastic Solutions of Engineering Problems “Initial Stress,” Finite Element Approach, Vol. 1, pp. 75-100.

Arslan, N.

Turgut, A.

and

Sancaktar, E.

, 1996, Reliability, Stress Analysis, and Failure Prevention Issues in Fastening and Joining, Composite and Smart Structures, Numerical and FEAS Methods, Risk Minimization, ASME, Elasto-Plastic Finite Element Analysis of Isotropic Plates with U-Notches, DE-Vol. 92, 45-58.

Owen, D.R.

and

Figurerias, J.A.

, 1983, Int. Journal for Numerical Methods in Engineering, Anisotropic Elasto-Plastic Finite Element Analysis of Thick and Thin Plates and Shells, Vol. 19, pp. 541-566.

Karakuzu, R.

and

Sayman, O.

, 1994, Computers and Structures, Elasto-Plastic Finite Element Analysis of Orthotropic Rotating Discs with Holes, Vol. 51, pp. 695-703.

Arslan, N.

Turgut, A.

and

Sancaktar, E.

, 1993, Reliability, Stress Analysis, and Failure Prevention, ASME, The Effect of Fiber Type on the Level of Stress Concentration Created by U-Notches in Long-Fiber Composites Plates, DE-Vol. 55, pp. 125-134.

Karakuzu, R.

Özel, A.

and

Sayman, O.

, 1997, Computers and Structures, Elasto-Plastic Finite Element Analysis of Metal Matrix Plates with Edge Notches, Vol. 63, pp. 511-558.

Vaziri, R.

Olson, M.D.

and

Anderson, D.L.

, 1992, Computers and Structures, Finite Element Analysis of Fibrous Composite Structures, A Plasticity Approach, Vol. 44, pp. 103-116.

9. Arslan, N., 1995, An Investigation of Elasto-Plastic Zones and Residual Stresses of the U-Notched Plates. Ph.D. thesis, Graduate School of Natural and Applied Science, Firat University, Elazig.

10.

Reddy, J.N.

and

Chandrasekhara, K.

, 1985, Proc. Int. Conf. Finite Elements in Computational Mechanics, Nonlinear Finite Element Models of Laminated Plates and Shells, pp. 189-209.

11.

Gibson, F.R.

, 1994, Principles of Composite Material Mechanics. McGraw-Hill International Editions.

12.

Dowling, N.E.

, 1993, Mechanical Behavior of Materials. Prentice-Hall Inc., Englewood Cliffs, New Jersey.

13.

Bathe, K.J.

, 1982, Finite Element Procedures in Engineering Analysis. Prentice-Hall Inc., Englewood Cliffs, New Jersey.