Static and Free Vibration Analyses of Functionally Graded Carbon Nanotube Reinforced Composite Plates using CS-DSG3

Abstract

This study presents an extension of the cell-based smoothed discrete shear gap method (CS-DSG3) using three-node triangular elements for the static and free vibration analyses of carbon nanotube reinforced composite (CNTRC) plates. The single-walled carbon nanotubes (SWCNTs) are assumed to be uniformly distributed (UD) and functionally graded (FG) distributed along the thickness direction. The material properties of carbon nanotube-reinforced composite plates are estimated according to the rule of mixture. The governing equations are developed based on the first-order shear deformation plate theory (FSDT). In the CS-DSG3, each triangular element will be divided into three sub-triangles, and in each sub-triangle, the stabilized discrete shear gap method is used to compute the strains and to avoid the transverse shear locking. Then the strain smoothing technique on the whole triangular element is used to smooth the strains on these three sub-triangles. Effects of several parameters, such as the different distribution of carbon nanotubes (CNTs), nanotube volume fraction, boundary condition and width-to-thickness ratio of plates are investigated. In addition, the effect of various orientation angles of CNTs is also examined in detail. The accuracy and reliability of the proposed method are verified by comparing its numerical solutions with those of other available results in the literature.

A deep feed-forward neural network for damage detection in functionally graded carbon nanotube-reinforced composite plates using modal kinetic energy

“…The free vibration analysis of the FG-CNTRC plates is verified by comparing the analyzed results of this study to those of previously published papers [87,91,92]. The nondimensional frequency of the FG-CNTRC plates is calculated by…”

Đặc điểm phân bố ứng suất trong tấm Composite lớp gia cường ống Nano Carbon đơn vách

“…Cũng nghiên cứu về ứng xử uốn của tấm FG-CNTRC nhưng Truong-Thi và cs. [4] lại đặt sự quan tâm vào nghiên cứu ảnh hưởng của các điều kiện biên khác nhau đến sự làm việc của tấm chữ nhật. Bài toán phân tích tuyến tính và phi tuyến tĩnh của loại kết cấu này cũng được Zhang và cs.…”

“…4. Sự hội tụ của độ võng và ứng suất không thứ nguyên của tấm vuông composite lớp gia cường SWCNT (UD), bốn biên tựa khớp, [0 • /90 • ] 5 , (a/h = 10) Để kiểm chứng độ tin cậy của chương trình đã lập, tác giả sẽ so sánh kết quả độ võng và các thành phần ứng suất không thứ nguyên của bài báo với kết quả tính bằng của phần mềm Ansys sử dụng phần tử "shell-181".…”

Four-node quadrilateral C 0-element based on cell-based smoothed strains strategy and third-order shear deformation theory for functionally graded carbon nanotube reinforced composite plates

“…But we may easily recognize that the third-order shear deformation plate theories are the accurate theories and effective due to the quadratic variation of the transverse shear strains and stresses along the thickness of plate as well as the shear locking free [11]. On the other hand, numerical methods have been expanded for the analysis of composite structures as given by authors [12][13][14][15][16][17][18][19][20] and so on. Specifically, the free vibration analysis of functionally graded carbon nanotube reinforced composite (FG-CNTRC) conical shell was carried out by using element-free kp-Ritz method.…”