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Free vibration of cracked FGM plates with variable thickness resting on elastic foundations
https://orcid.org/0000-0003-2656-7497
Abstract In this paper, Shi's high-order shear deformation theory (HSDT) is introduced to compute the free vibration of the cracked functionally graded material (FGM) plates according to the power law resting on Pasternak elastic foundations. The rectangular plate has a linearly variable thickness and has a crack in the center. The phase field theory and finite element method are used to study the vibration frequency of plates depending on the exponent of the material as well as the parameters of the elastic foundation. Several numerical results have been compared with the ones available in the literature. Next, the paper investigates the effect of length, angle of crack, ratio of plate thickness to the free vibration of plates.
Highlights Free vibration of cracked FGM plates. The FGM plate with variable thickness resting on elastic foundations. Based on the phase-field theory. Used Shi's high-order shear deformation plate theory (HSDT) and the finite element method (FEM). Effects of changing of the plate thickness ratio, length and crack angle on the vibration of FGM plate are considered.
Free vibration of cracked FGM plates with variable thickness resting on elastic foundations
https://orcid.org/0000-0003-2656-7497
Abstract In this paper, Shi's high-order shear deformation theory (HSDT) is introduced to compute the free vibration of the cracked functionally graded material (FGM) plates according to the power law resting on Pasternak elastic foundations. The rectangular plate has a linearly variable thickness and has a crack in the center. The phase field theory and finite element method are used to study the vibration frequency of plates depending on the exponent of the material as well as the parameters of the elastic foundation. Several numerical results have been compared with the ones available in the literature. Next, the paper investigates the effect of length, angle of crack, ratio of plate thickness to the free vibration of plates.
Highlights Free vibration of cracked FGM plates. The FGM plate with variable thickness resting on elastic foundations. Based on the phase-field theory. Used Shi's high-order shear deformation plate theory (HSDT) and the finite element method (FEM). Effects of changing of the plate thickness ratio, length and crack angle on the vibration of FGM plate are considered.
Free vibration of cracked FGM plates with variable thickness resting on elastic foundations
https://orcid.org/0000-0003-2656-7497
Abstract In this paper, Shi's high-order shear deformation theory (HSDT) is introduced to compute the free vibration of the cracked functionally graded material (FGM) plates according to the power law resting on Pasternak elastic foundations. The rectangular plate has a linearly variable thickness and has a crack in the center. The phase field theory and finite element method are used to study the vibration frequency of plates depending on the exponent of the material as well as the parameters of the elastic foundation. Several numerical results have been compared with the ones available in the literature. Next, the paper investigates the effect of length, angle of crack, ratio of plate thickness to the free vibration of plates.
Highlights Free vibration of cracked FGM plates. The FGM plate with variable thickness resting on elastic foundations. Based on the phase-field theory. Used Shi's high-order shear deformation plate theory (HSDT) and the finite element method (FEM). Effects of changing of the plate thickness ratio, length and crack angle on the vibration of FGM plate are considered.
Free vibration of cracked FGM plates with variable thickness resting on elastic foundations
Minh, Phuc Pham (author) / Manh, Duong Tuan (author) / Duc, Nguyen Dinh (author)
Thin-Walled Structures ; 161
2020-12-28
Article (Journal)
Electronic Resource
English
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