**Preface XI**


Chapter 2 **Finite Element Dynamic Analysis on Residual Stress Distribution of Titanium Alloy and Titanium Matrix Composite after Shot Peening Treatment 23** Lechun Xie, Zhou Wang, Chengxi Wang, Yan Wen, Liqiang Wang, Chuanhai Jiang, Weijie Lu, Lai-Chang Zhang and Lin Hua


Preface

parts that can be easily manipulated.

During the last decades, the finite element method (FEM) has become a numerical computa‐ tion tool used more and more extensively by engineers. FEM is based on the principle of building complex objects from simple elements or dividing complex objects into smaller

Applications of this simple concept can be easily found in real life and especially in the engi‐ neering domain. Various physical phenomena currently encountered in scientific and engi‐ neering domains can be mathematically described using partial derivative equations. In general, finding the exact solutions of such equations by means of analytical methods is im‐ possible for domains with arbitrary geometry. FEM can be used to obtain approximate solu‐ tions of partial derivative equations. FEM is based on the selection of approximate functions for solving such equations and can be successfully applied in various engineering fields:

This book aims to present results of the applicative research performed using FEM in vari‐ ous engineering fields by researchers affiliated to well-known universities. The book has a profound interdisciplinary character and is mainly addressed to researchers, PhD students, graduate and undergraduate students, teachers, engineers, as well as all other readers inter‐ ested in the engineering applications of FEM. I am confident that the readers will find infor‐ mation and challenging topics of high academic and scientific level, which will encourage them to enhance their knowledge in this engineering domain having a continuous expan‐ sion. The applications presented in this book cover a broad spectrum of finite element appli‐ cations starting from mechanical, electrical, or energy production and finishing with the

> **Dr. Eng. Răzvan Păcurar** Associate Professor

Cluj-Napoca, Romania

Technical University of Cluj-Napoca

static or dynamic analyses of solids, fluids, electromagnetic fields, biomechanics, etc.

successful simulation of severe meteorological phenomena.

