Ramesh Gupta Burela

Mechanical Engineering

(SoE) School of Engineering

Narayana K.J.

Ponnusami S.A.

Harursampath D.

Fulltext

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Shiv Nadar University

Geometric Nonlinear Analysis of Composite Stiffened Panels Using Variational Asymptotic Method

AIAA Journal

In the last few years the research activity in multifunctional composite materials and structures (MFCMS) is remarkably increased. This paper is a review of journal publications that are related to multifunctional composite materials and structures. MFCMS are meant for performing a variety of functions apart from the primary structural function which provides structural functions such as strength, stiffness, stability while non-structural functions provides energy harvesting, self-healing capability, sensing and actuation and sometimes acts as a protective layer etc. Many of the recent developments focused on the applications of MFCMS such as High Altitude Airship (HAA), morphing aircraft wings, energy harvesting, nanomaterials & nanostructures, smart structures, coupled field analysis, biomechanical etc. This paper also focused on the nonlinear mechanics of MFCMS because High Altitude Airship type of problems comes under geometrically and materially nonlinear case, so to analyse this type of problems one of the effective method called Variational Asymptotic Method is used. This method solves the problem by splitting the 3-D nonlinear problem into 1-D analysis through the thickness and 2-D nonlinear shell analysis. This paper concludes with a discussion of future scope and difficulties in design and analysis of multifunctional composite structures. © 2017 Elsevier Ltd.

Materials Today: Proceedings

A review of recent research on multifunctional composite materials and structures with their applications

Asymptotically-accurate dimensional reduction from three to two dimensions and recovery of 3-D displacement field of non-prestretched dielectric hyperelastic membranes are carried out using the Variational Asymptotic Method (VAM) with moderate strains and very small ratio of the membrane thickness to its shortest wavelength of the deformation along the plate reference surface chosen as the small parameters for asymptotic expansion. Present work incorporates large deformations (displacements and rotations), material nonlinearity (hyperelasticity), and electrical effects. It begins with 3-D nonlinear electro-elastic energy and mathematically splits the analysis into a one-dimensional (1-D) through-the-thickness analysis and a 2-D nonlinear plate analysis. Major contribution of this paper is a comprehensive nonlinear through-the-thickness analysis which provides a 2-D energy asymptotically equivalent of the 3-D energy, a 2-D constitutive relation between the 2-D generalized strain and stress tensors for the plate analysis and a set of recovery relations to express the 3-D displacement field. Analytical expressions are derived for warping functions and stiffness coefficients. This is the first attempt to integrate an analytical work on asymptotically-accurate nonlinear electro-elastic constitutive relation for compressible dielectric hyperelastic model with a generalized finite element analysis of plates to provide 3-D displacement fields using VAM. A unified software package 'VAMNLM' (Variational Asymptotic Method applied to Non-Linear Material models) was developed to carry out 1-D non-linear analysis (analytical), 2-D non-linear finite element analysis and 3-D recovery analysis. The applicability of the current theory is demonstrated through an actuation test case, for which distribution of 3-D displacements are provided. © 2014 Elsevier Ltd. All rights reserved.

International Journal of Engineering Science

Dielectric elastomers: Asymptotically-correct three-dimensional displacement field

Thin-Walled Structures

Design, analysis, fabrication, and testing of composite grid-stiffened panels for aircraft structures

Model reduction in thin-walled open-section composite beams using Variational Asymptotic Method. Part II: Applications

An asymptotically exact theory of functionally graded piezoelectric shells

Geometric nonlinear analysis of composite stiffened panels using variational asymptotic method