Nonlinear plate bending within Mindlin's strain gradient elasticity theory (SGT) is investigated by employing somewhat non-standard finite element methods. The main goal to compare the results provided geometrically nonlinear three-dimensional (3D) and Reissner–Mindlin theory, i.e., first-order shear deformation (FSDT), SGT. For 3D Green–Lagrange relations are adopted, while von Kármán strains ...

Abstract In this study, the first-order shear deformation theory (FSDT) is used to establish a nonlinear dynamic model for conical shell truncated by functionally graded graphene platelet-reinforced composite (FG-GPLRC). The vibration analyses of FG-GPLRC are presented. Considering platelets (GPLs) with three different distribution patterns, modified Halpin-Tsai calculate effective Young’s modu...

This paper deals with the dynamical behaviour of hemispherical domes and spherical shell panels. The First-order Shear Deformation Theory (FSDT) is used to analyze the above moderately thick structural elements. The treatment is conducted within the theory of linear elasticity, when the material behaviour is assumed to be homogeneous and isotropic. The governing equations of motion, written in ...

This article presents the derivation of elastic buckling equations and boundary conditions shear-deformable plates in frame extended Kantorovich method (EKM). Surveying literature shows that those stability are often obtained using a wrong by confusing them with linear equilibrium condition. work aims at providing correct is built on Buckling derived for three different plate theories, namely, ...

void within the adhesive. Depending upon the number of notches and voids, the specimen is divided into several regions. Assuming that a plane strain state of deformation prevails in the specimen, we write the balance of forces and moments for each section and impose the continuity of displacements, forces and moments at the interfaces between the adjoining sections. By taking the Laplace transf...

Thermo elastic analysis of a functionally graded cylinder under mechanical and thermal loads is investigated analytically in the present paper. The first order shear deformation theory (FSDT) is employed for analysis of the problem. FSDT recognizes two components for definition of the deformation. Displacement of the mid-plane and rotation about that are two components of deformation. The modul...

An advantage of functionally graded materials (FGMs) over laminated composites is that material properties vary continuously in an FGM but are discontinuous across adjoining layers in laminated composites. Furthermore, in an FGM material, properties can be graded in all three directions which is more difficult to achieve in laminated composites. FGMs have been used for structural optimization, ...

Background: The first-order shear deformation theory (FSDT) for plates requires a shear correction factor due to the assumption of constant shear strain and shear stress across the thickness; hence, the shear correction factor strongly influences the accuracy of the deflection solution; the third-order shear deformation theory (TSDT) does not require a correction factor because it facilitates t...

An accurate coupled field piezoelectric beam finite element formulation is presented. The formulation is based on First-order Shear Deformation Theory (FSDT) with layerwise electric potential. An appropriate through-thickness electric potential distribution is derived using electrostatic equilibrium equations, unlike conventional FSDT based formulations which use assumed independent layerwise l...