Static and dynamic analysis of functionally graded plates using Four-variable refined plate theory by the new function

A review of theories for the modeling and analysis of functionally graded plates and shells

“…For example, Mechab et al [295] and El Meiche et al [296] proposed a four-unknown HSDT for FG plates [295] and FG sandwich plates [296] using hyperbolic functions. Merdaci et al [297], Tounsi et al [298], Ameur et al [299] and Thai and Vo [300] developed a four-unknown HSDT for FG sandwich plates [297][298] and FG plates [299][300] using the sinusoidal function.…”

3-D Free Vibration Analysis of Exponential and Power-law Functionally Graded Material(FGM) Plates

“…일차전단변형이론(first-order shear deformation theory, FSDT)은 적절한 해석결과를 구할 수 있으나 전단보정 계수 (Lee et al, 2008;Jung et al, 2014) 2000; Karama et al, 2003;Zenkour, 2006;Aydogdu, 2009;Mechab et al, 2013;Tran et al, 2013;Mantari et al, 2014;Lee et al, 2015;Jung과 Han, 2015 처음에는 4변수 이론이 등방성판 (Shimpi et al, 2006a)의 해석을 위해 개발되었으나 최근에는 직교이방성 판 (Shimpi et al, 2006b), 적층복합 판 (Thai et al, 2010), 점진기능 재료 판 (Benachour et al, 2011;Han et al, 2015), 점 진기능재료 샌드위치 판 (Bourada et al, 2012) …”

A unified higher order plate theory for functionally graded microplates based on the modified couple stress theory

“…For instance, Thai and Choi [34,35] developed four variable refined first order and parabolic shear deformable plate theories for FG plates. Actually, for any shear deformable plate theory, there exists a corresponding four variable refined plate theory which can be developed through a simplification procedure [36]. Four variable refined plate theories are variationally consistent and have strong similarity with the KPT in many aspects such as the equations of motion, boundary condition as well as stress resultant expressions.…”