A non-singular analytical technique for reinforced noncircular holes in orthotropic laminate

• Autorzy: Mohan Pradeep , Kumar R. Ramesh

Identyfikatory

DOI

10.2478/ijame-2020-0007

• Języki publikacji: EN

Abstrakty

EN

The intricacy in Lekhnitskii’s available single power series solution for stress distribution around hole Edg for both circular and noncircular holes represented by a hole shape parameter ε is decoupled by introducing a new technique. Unknown coefficients in the power series in ε are solved by an iterative technique. Full field stress distribution is obtained by following an available method on Fourier solution. The present analytical solution for reinforced square hole in an orthotropic infinite plate is derived by completely eliminating stress singularity that depends on the concept of stress ratio. The region of validity of the present analytical solution on reinforcement area is arrived at based on a comparison with the finite element analysis. The present study will also be useful for deriving analytical solution for orthotropic shell with reinforced noncircular holes.

Słowa kluczowe

EN

power series; stress ratio; non-circular hole

PL

współczynnik naprężeń; analiza elementu skończonego; naprężenia

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2020
• Tom: Vol. 25, no. 1
• Strony: 92--105
• Opis fizyczny: Bibliogr. 8 poz., rys., wykr.

Twórcy

autor

Mohan Pradeep

• Mar Baselios College of Engineering and Technology Thiruvananthapuram - 695015, INDIA

autor

Kumar R. Ramesh

• Department of Mechanical Engineering Sree Chitra Thirunal College of Engineering Thiruvananthapuram - 695035, INDIA

Bibliografia

• [1] Lekhnitskii S.G. (1947): Anisotropic Plates.− Gordon and Breach Science Publishers.
• [2] Rajaiah K. and Naik N. (1982): An analytical approach for the optimization of hole shapes in CFRP orthotropic composite plates. − J. Aeronaut. Soc. India, pp.115-120.
• [3] Whitney J. and Nuismer R. (1974): Stress fracture criteria for laminated composites containing stress concentrations. − J. Compos. Mater., pp.253-265.
• [4] Konish H.J. and Whitney J.M. (1975): Approximate stress in an orthotropic plate containing a circular hole. − Journal of Composite Materials, pp.157-166.
• [5] Kumar R.R., Rao G.V. and Mathew K.J. (1999): A new solution for prediction of strength for highly orthotropic laminate with a hole. − Journal of Aeronautical Society of India, pp.28-34.
• [6] Kumar R.R., Jose S. and Rao G.V. (2001):Analytical solution for W-N criteria for the prediction of notched strength of an orthotropic shell. − Transactions of ASME, pp.344-346.
• [7] Krylov V. (1969):Handbook of Numerical Harmonic Analysis. − Jerusalem: Israel Program for Scientific Tranlations.
• [8] Mohan P. and Kumar R. (2017): Analytical Prediction of Full Field Tangential Stress Distribution in Orthotropic Shell with Reinforced hole.− Rome: ICCE 25.

Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020)