Stochastic Approach to Rupture Probability of Short Glass Fiber Reinforced Polypropylene based on Three-Point-Bending Tests

verfasst von: Nikolai Sygusch

Verlag: Springer Fachmedien Wiesbaden

Buchreihe : Mechanik, Werkstoffe und Konstruktion im Bauwesen

Enthalten in: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

Einloggen, um Zugang zu erhalten

Über dieses Buch

A method for incorporating and comparing stochastic scatter of macroscopic parameters in crash simulations is developed in the present work and applied on a 30 wt.% short glass fiber reinforced polypropylene. Therefore, a statistical testing plan on the basis of three point bending tests with 30 samples for each configuration is carried out. The tests are conducted at 0°, 30°, 45° and 90° orientation angles and at strain rates of 0.021/s and 85/s. The obtained results are evaluated statistically by means of probability distribution functions. An orthotropic elastic plastic material model is utilized for the numerical investigations. Monte Carlo Simulations with variations in macroscopic parameters are run to emulate the stochastic rupture behavior of the experiments.

Inhaltsverzeichnis

Frontmatter

Chapter 1. Introduction

Abstract

Today the vehicle development in the automotive industry is mostly driven by computer aided engineering practices. Currently, the application of advanced material models and comprehensive optimization and robustness studies are two of the challenges in the crash simulation environment in the vehicle development process [24]. New material models are developed that e.g. emulate the material behavior of polymers more physically than commonly used material models.

Nikolai Sygusch

Chapter 2. State of the Art

Abstract

The research of current work is divided into three subchapters with remarks on open challenges in each field in the last passage of each section. Firstly, an examination of the current work on experimental investigations on glass fiber reinforced polymers is outlined. Secondly, the focus will be on works that concentrate on solving numerical challenges regarding fiber reinforced polymers. A line between the two themes cannot always be drawn because simulation studies are often complemented with an experimental survey.

Nikolai Sygusch

Chapter 3. Mechanical Testing

Abstract

The results of all conducted experiments from this work are presented in the following chapter. Firstly, the studies on the polymer’s microstructure are shown and secondly, macroscopic observations based on mechanical testing of tensile and three point bending tests are described.

Nikolai Sygusch

Chapter 4. Statistical Analysis

Abstract

Using the tools of statistical mathematics is essential in order to evaluate a large number of data points. Tools from the field of empirical statistics are presented and applied on results of the three point bending tests in the following section.

Nikolai Sygusch

Chapter 5. Material Modeling

Abstract

The finite element method is introduced in this section. Further, the constitutive equations for the orientation dependent elastic plastic material model are outlined. The contact algorithms of the numerical simulations are also described in this part because the three point bending test involves a specimen that is penetrated by an impactor, which requires a contact definition in the simulation.

Nikolai Sygusch

Chapter 6. Numerical Results

Abstract

This chapter covers the results of the conducted simulations of the three point bending tests. The chapter is divided into two sections, namely the deterministic and the stochastic simulations. The calibration of the material model is realized with the deterministic simulations, which are the basis for the stochastic simulations.

Nikolai Sygusch

Chapter 7. Summary and Outlook

Abstract

In the context of increasing regulatory standards in the vehicle development, a method for incorporating and comparing stochastic scatter of macroscopic parameters in crash simulations is developed in the present work. The method is applied on a 30 wt.% short glass fiber reinforced polypropylene with the objectives to statistically characterize the stochastic rupture behavior of the experiments by means of probability functions and to reproduce the stochastic rupture behavior of the experiments by means of Monte Carlo Simulations. The experiments focus on three point bending tests that are performed at four different orientation angles, 0°, 30°, 45° and 90° and two impact velocities 0.001 ms^–1 and 4.0 ms^–1

Nikolai Sygusch

Backmatter

Titel: Stochastic Approach to Rupture Probability of Short Glass Fiber Reinforced Polypropylene based on Three-Point-Bending Tests
verfasst von: Nikolai Sygusch
Verlag: Springer Fachmedien Wiesbaden
Electronic ISBN: 978-3-658-27113-8
Print ISBN: 978-3-658-27112-1
DOI: https://doi.org/10.1007/978-3-658-27113-8