Modelling and Analysis of Functionally-Graded Cracked Beams Subjected to Static and Dynamic Loadings

Modelling and Analysis of Functionally-Graded Cracked Beams Subjected to Static and Dynamic Loadings

B. Panigrahi (Birla Institute of Technology and Science, Pilani, India) and Goutam Pohit (Jadavpur University, India)
DOI: 10.4018/978-1-7998-1831-1.ch013

Abstract

In last few decades, continuous efforts have been put by the researchers on developing the field of structural systems considering the applicability and enhancing material properties of the structural elements. In this regard functionally graded materials (FGMs) have gained tremendous popularity and have been the active area of research interest for researchers in recent decades. In this chapter, a detailed method of analysis for FGM cracked beam subjected to static and dynamic loadings is presented. Method based on Timoshenko beam theory and Ritz method is successfully implemented to get the displacement and natural frequency of cracked beam subjected to static as well as dynamic loadings.
Chapter Preview
Top

Introduction

In last few decades, continuous efforts have been put by the researchers on developing the field of structural systems considering the applicability and enhancing material properties of the structural elements. In this regard functionally graded materials (FGMs) have gained tremendous popularity and have been the active area of research interest for researchers in recent decades. Functionally graded materials (FGMs) are inhomogeneous composites obtained by mixing two or more constituent materials continuously following a given volume fraction. As a result, material properties become a function of position and a continuous variation from one surface to another can be achieved. FGMs have much more advantages and now been used in various engineering sectors such as space vehicles, aerospace, automotive, biomedical, optics, electronics, and military applications, specifically in adverse operating conditions where uneven thermal gradients, chemical and mechanical loads are present. Concept of FGM was first introduced in Japan in 1980s, since then continuous efforts have been focused on developing and studying various aspects of FGM structures. In the light of advantages which FGM brings to the structural systems, it becomes necessary to study the behaviour of such structures subjected to static and dynamic loadings. For a healthier structure there are numerous amounts of works which can be found in open literatures. However, there are very limited works focused on showing the behaviour of cracked FGM structures. It is quite obvious that FGM structures responds differently with respect to the homogenous isotropic structures if there is a flaw such as cracks in the structures. These aspects need to get explored for various static and dynamic loading conditions.

Complete Chapter List

Search this Book:
Reset