Static analysis of functionally graded plate using nonlinear classical plate theory with von-Karman strains

• Autorzy: Singh S. J. , Harsha S. P.

Identyfikatory

DOI

10.2478/ijame-2018-0039

• Języki publikacji: EN

Abstrakty

EN

The present study is based on the nonlinear bending analysis of an FGM plate with Von-Karman strain based on the non-linear classical plate theory (NLCPT) with in-plane displacement and moderate rotation. Non-linear bending analysis based on stresses and transverse deflections is then carried out for the plate for the complex solution obtained using an analytical method viz. Navier’s method. The equations of motion and boundary conditions are obtained using the Principle of Minimum Potential Energy (PMPE) method and material property is graded in thickness direction according to simple power-law distribution in terms of volume fractions of the constituents. The effect of the span-to-thickness ratio and FGM exponent on the maximum central deflection and stresses are studied. The results show that the response is transitional with respect to ceramic and metal and the complex solution predicts the real behavior of stresses and deflections in the functionally graded plate. The functionally graded plate is found to be more effective for moderately thick and thick plates, which is inferred by a complex nature of the solution. For FGM plates, the transverse deflection is in-between to that of metal and ceramic rich plates. The complex nature of the solution also gives information about the stress distribution in the thickness direction.

Słowa kluczowe

EN

functionally graded materials (FGM) plate; Von-Karman strain; nonlinear classical plate theory (NLCPT); Navier’s method

PL

metoda Naviera; teoria płyt; odkształcenie

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2018
• Tom: Vol. 23, no. 3
• Strony: 707--726
• Opis fizyczny: Bibliogr. 25 poz., rys., wykr.

Twórcy

autor

Singh S. J.

• Mechanical and Industrial Engineering Department Indian Institute of Technology, Roorkee Roorkee, Uttarakhand-247667, INDIA

autor

Harsha S. P.

• Mechanical and Industrial Engineering Department Indian Institute of Technology, Roorkee Roorkee, Uttarakhand-247667, INDIA

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019)