Nonlinear torsional buckling and postbuckling of eccentrically stiffened FGM cylindrical shells in thermal environment

Research on Free Vibration Frequency Characteristics of Rotating Functionally Graded Material Truncated Conical Shells with Eccentric Functionally Graded Material Stringer and Ring Stiffeners

“…The stiffeners and skin, in their work, are assumed to be made of functionally graded materials and its properties vary continuously through the thickness direction. Following this direction, Dung and Hoa (2015) obtained the results on the static nonlinear buckling and post-buckling analysis of eccentrically stiffened FGM circular cylindrical shells under torsional loads in thermal environment. The material properties of shell and stiffeners are assumed to be continuously graded in the thickness direction.…”

Torsional buckling and post-buckling behavior of eccentrically stiffened functionally graded toroidal shell segments surrounded by an elastic medium

“…Zhang and Fu [13] addressed the torsional buckling characteristic of an elastic cylinder with a hard surface coating layer by Navier's equation and thin shell model. Recently, Dung and Hoa [14] investigated the nonlinear buckling and post-buckling of functionally graded stiffened thin circular cylindrical shells surrounded by an elastic foundation in thermal environments under torsional load by an analytical approach.…”

Nonlinear buckling of eccentrically stiffened functionally graded toroidal shell segments under torsional load surrounded by elastic foundation in thermal environment

“…The nonlinear buckling problem of FGM cylindrical shells under torsion load based on the nonlinear large deflection theory by using the energy method and the nonlinear straindisplacement relations of large deformation are studied by Huang and Han [12]. Recently, Dung and Hoa [13,14] have investigated the nonlinear buckling and post-buckling of functionally graded stiffened thin circular cylindrical shells surrounded by elastic foundation in thermal environments under torsional load using analytical approach based on the classical shell theory with the geometrical nonlinearity in von Karman sense.…”

“…and Eq (19). into the left side of Eq (14),. then multiplying obtained equation in turn with each shape function of Eq (16).…”