New approach to study nonlinear dynamic response and vibration of sandwich composite cylindrical panels with auxetic honeycomb core layer

Static Bending Analysis of Auxetic Plate by FEM and a New Third-Order Shear Deformation Plate Theory

“…The calculus, semi-calculus, and numerical methods are proposed. There are a variety of studies applied analytical methods including the authors Duc and Cong [6][7][8][9][10]. In [6][7][8][9][10], the analytical Reddy's (first or third) order shear deformation theory with the geometrical nonlinear in von Karman and Airy stress functions, Galerkin and the fourth-order Runge-Kutta methods were proposed to consider cell of honeycomb core layer (with NPR).…”

“…There are a variety of studies applied analytical methods including the authors Duc and Cong [6][7][8][9][10]. In [6][7][8][9][10], the analytical Reddy's (first or third) order shear deformation theory with the geometrical nonlinear in von Karman and Airy stress functions, Galerkin and the fourth-order Runge-Kutta methods were proposed to consider cell of honeycomb core layer (with NPR). Specifically, the nonlinear dynamic response of auxetic plate was conducted in [6], cylinder auxetic shell (within and without stiffeners) was illustrated in [7,10] and double curved shallow auxetic shells (without stiffeners) were mentioned in [8,9].…”

“…From above literature review, in [3][4][5] the authors conducted bending and stress analysis auxetic structures using first-order shear strain theory and finite element method while in [6][7][8][9][10], an analytical method and (first or higher) order shear deformation theory were proposed to study dynamic response and vibration of auxetic plate and shell structures.…”

Temperature-Dependent Mechanical Properties of Graphene/Cu Nanocomposites with In-Plane Negative Poisson’s Ratios

“…The NPR materials are a novel class of materials, which have advantages that conventional materials may not possess [22]. Materials with NPR have triggered significant interest in the scientific community because of their unique physical properties [23][24][25][26][27] including high shear modulus, high indentation resistance [28], large plane strain fracture toughness [29], and excellent shock and sound absorption abilities [30,31], and all of which are highly desirable properties for engineering applications. Specifically, the NPR materials can be used in microelectromechanical systems (MEMS) and fastening devices due to their auxetic characteristics, and they can be also added into engineering structures (e.g., sandwich or laminated panels in the aerospace industry) as energy absorption components.…”

Finite Element Analysis of Tunable Composite Tubes Reinforced with Auxetic Structures

“…It is possible to build tubular elements, e.g., stents with use of auxetic materials and structures [ 45 ]. Duc et al [ 46 ] analysed the nonlinear dynamic response and vibration of sandwich auxetic composite cylindrical panels built of three layers, in which the top and bottom outer skins are isotropic aluminum materials, while the middle core layer is auxetic. Several articles have already been devoted to the mechanical properties and behaviour of auxetic tubes.…”