Smoothed Finite Element Methods

by G.R. Liu, Nguyen Trung

Overview

Generating a quality finite element mesh is difficult and often very time-consuming. Mesh-free methods operations can also be complicated and quite costly in terms of computational effort and resources. Developed by the authors and their colleagues, the smoothed finite element method (S-FEM) only requires a triangular/tetrahedral mesh to achieve mo

Product Details

ISBN-13:	9781040196823
Publisher:	CRC Press
Publication date:	04/19/2016
Sold by:	Barnes & Noble
Format:	eBook
Pages:	692
File size:	35 MB
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About the Author

G.R. Liu is the director of the Centre for Advanced Computations in Engineering Science (ACES) as well as a professor and deputy head of the Department of Mechanical Engineering at the National University of Singapore.

Nguyen Thoi Trung is a lecturer in the Department of Mechanics in the University of Science at Vietnam National University in Ho Chi Minh City. He is also the CEO of the Friends of Science and Technology (FOSAT) Group and a researcher in the Faculty of Civil Engineering at Ton Duc Thang University in Ho Chi Minh City.

Table of Contents

Introduction. Basic Equations for Solid Mechanics. The Finite Element Method. Fundamental Theories for S-FEM. Cell-Based Smoothed FEM. Node-Based Smoothed FEM. Edge-Based Smoothed FEM. Face-Based Smoothed FEM. The aFEM. S-FEM for Fracture Mechanics. S-FEM for Viscoelastoplasticity. ES-FEM for Plates. S-FEM for Piezoelectric Structures. S-FEM for Heat Transfer Problems. S-FEM for Acoustics Problems. Index.

What People are Saying About This

From the Publisher

Liu and Nguyen introduce newly developed S-FEM models that combine FEM and mesh-free techniques, and explain their application to fracture mechanics, plates, piezoelectrics, heat transfer, and acoustics problems. Intended for mechanical and structural engineers, the graduate textbook describes each step in the S-FEM method and analyzes the properties of S-FEM models using smoothing domains based on cells, nodes, edges, and faces. Numerical examples are provided for an interfacial crack, elastic strain on a hollow sphere, plate buckling, an engine pedestal, and acoustic pressure distribution in a car passenger compartment.
—SciTech Book News, February 2011

Editorial Reviews

Liu and Nguyen introduce newly developed S-FEM models that combine FEM and mesh-free techniques, and explain their application to fracture mechanics, plates, piezoelectrics, heat transfer, and acoustics problems. Intended for mechanical and structural engineers, the graduate textbook describes each step in the S-FEM method and analyzes the properties of S-FEM models using smoothing domains based on cells, nodes, edges, and faces. Numerical examples are provided for an interfacial crack, elastic strain on a hollow sphere, plate buckling, an engine pedestal, and acoustic pressure distribution in a car passenger compartment.
—SciTech Book News, February 2011

From the Publisher