Consideration of interlaminar strain–energy continuity in composite plate analysis using improved higher order theory

Abstract

The main goal of this paper is to suggest an improved higher order refined theory for analysing perfectly bonded stacked composite laminates with the usual lamination configurations. The analysis incorporates continuous flexural and in-plane displacements at the interfaces. Furthermore, the transverse shear stress is continuous and constrained with the Lagrange multiplier technique by introducing 14 new unknown variables that are expressed in terms of the interfacial strain energy, which is assuming to be continuous throughout the thickness of the laminate. To determine the newly introduced flexural and in-plane unknown variables, the total potential energy is minimised using variational calculus. The numerical results are compared with those from existing reliable published papers. In general, the proposed approach is sufficient for analysing laminate structures with the required accuracy.

Micromechanical Analysis in Applications of Active Mono-Slip and Continuum Dislocations in the MDCM

“…Composite materials are used as structural elements in a wide variety of applications, including space shuttles, marine vehicles, automobiles, and construction sectors. These materials are widely applied for their remarkable in-plane stiffness, bending stiffness, ultimate strength, light weight, and good thermal expansion coefficient during deformation [1][2][3][4]. In a matrix-dominated composite structure (MDCS), permanent deformation can be expressed by the limit of dislocation nucleation and the dislocation energy [5].…”

Continuum Dislocations and Active Single-slip Assumption in MicroMechanical analysis of Matrix Dominated Composite Unit cell

“…Composites are broadly applied in structural components due to their capabilities of revealing designated in-plane stiffness, bending stiffness, ultimate strength, or thermal expansion coefficient during deformation [1,2]. In a micro-mechanical approach, irreversible deformation is In the micromechanics approach, discrete dislocation analysis is sufficient to describe the individual or small numbers of dislocations.…”