PROBABILISTIC ANALYSIS OF GLASS EPOXY COMPOSITE BEAMS FOR DAMAGE INITIATION DUE TO HIGH VELOCITY IMPACT

Document Type : Original Article

Authors

1 Research Scholar, Department of Applied Mechanics, Indian Institute of Technology Delhi, New Delhi, India.

2 Professor, Department of Applied Mechanics, Indian Institute of Technology Delhi, New Delhi, India.

Abstract

ABSTRACT
A numerical 3D dynamic finite element approach was adopted to study damage in
composite beam subjected to high velocity impact. The contact force between the
impactor and the target depends on the impactor mass, velocity and the elastic
properties and other characteristic of composite beams. Fiber reinforced composite
beams are susceptible to damage due to impact by foreign objects and in plane
loading. In order to assess the safe load carrying capacity and the probability of
failure under impact, dynamic analysis of composite beam subjected to high velocity
impact is carried out. Finite element method is used to study the impact. During high
velocity impact the out-of-plane damage modes such as matrix cracking and fiber
failure are modeled using a failure criterion. The limit state functions for the
composite beam under impact are derived from Chang-Chang [9] failure model.
The uncertainties associated with the properties and their inherent scatter in the
geometric and material properties and input load are modeled in a probabilistic
fashion. Random parameters represent various characteristics appearing in the limit
state function. The probabilistic analysis and reliability prediction of the system is
carried out using the first order reliability method (FORM) and validity of method is
established using Monte Carlo simulation (MCS) procedure .The results show that
for the given system and respective scatter, first order reliability method yields
satisfactory level of accuracy. Sensitivity analysis of probability of failure with respect
to random parameters considered is an important study for design optimization. The
safety level quantification is achieved in terms of reliability level targeted. The mean
and standard deviations of random variables show an appreciable influence on the
probabilistic failure. Systematic changes in the input parameters are governed by
probabilistic sensitivity tools to achieve target reliability.

Keywords