Editor: Qing-Hua Qin

Trefftz and Fundamental Solution-Based Finite Element Methods

eBook: US $99 Special Offer (PDF + Printed Copy): US $181
Printed Copy: US $131
Library License: US $396
ISBN: 978-981-4998-55-0 (Print)
ISBN: 978-981-4998-54-3 (Online)
Year of Publication: 2021
DOI: 10.2174/97898149985431210101
(1 Comment) | Rate This Book

Introduction

This reference explains hybrid-Trefftz finite element method (FEM). Readers are introduced to the basic concepts and general element formulations of the method. This is followed by topics on non-homogeneous parabolic problems, thermal analysis of composites, and heat conduction in nonlinear functionally graded materials. A brief summary of the fundamental solution based-FEM is also presented followed by a discussion on axisymmetric potential problems and the rotordynamic response of tapered composites. The book is rounded by chapters that cover the n-sided polygonal hybrid finite elements and analysis of piezoelectric materials.

Key Features

  • - Systematic presentation of 9 topics
  • - Covers FEMs in two sections: 1) hybrid-Trefftz method and 2) fundamental FEM solutions
  • - Bibliographic references
  • - Includes solutions to problems in the numerical analysis of different material types
  • - Includes solutions to some problems encountered in civil engineering (seepage, heat transfer, etc).

This reference is suitable for scholars involved in advanced courses in mathematics and engineering (civil engineering/materials engineering). Professionals involved in developing analytical tools for materials and construction testing can also benefit from the methods presented in the book.

Audience

Scholars at the graduate and postgraduate levels in mathematics, civil engineering, and materials science; researchers and engineering professionals involved in the making of programs and numerical tools to assess problems in construction projects

Preface

- Pp. i
Qing-Hua Qin
Download Free

List of Contributors

- Pp. ii
Qing-Hua Qin
Download Free

Introduction to Hybrid-Trefftz Finite Element Method

- Pp. 1-54 (54)
Qing-Hua Qin*

PDF Price: $30

View Abstract Purchase Chapter

Hybrid-Trefftz Finite Elements for Non- homogeneous Parabolic Problems

- Pp. 55-102 (48)
Ionut D. Moldovan*, Ana Coutinho, Ildi Cismasiu

PDF Price: $30

View Abstract Purchase Chapter

Thermal Analysis of Composites with Trefftz Finite Element Methods

- Pp. 103-132 (30)
Keyong Wang*, Ze She

PDF Price: $30

View Abstract Purchase Chapter

Hybrid-Trefftz Finite Element Method for Heat Conduction in Functionally Graded Materials

- Pp. 133-162 (30)
Zhuo-Jia Fu*, Wen-Zhi Xu, Qiang Xi

PDF Price: $30

View Abstract Purchase Chapter

Introduction to Fundamental Solution Based Finite Element Methods

- Pp. 163-201 (39)
Qing-Hua Qin*

PDF Price: $30

View Abstract Purchase Chapter

Hybrid Fundamental Solution based Finite Element Method for Axisymmetric Potential Problems

- Pp. 202-232 (31)
Keyong Wang, Junchen Zhou*

PDF Price: $30

View Abstract Purchase Chapter

Rotordynamic Response of Tapered Composite Driveshafts based on Hierarchical Shaft Finite Element

- Pp. 233-267 (35)
Rajamohan Ganesan*

PDF Price: $30

View Abstract Purchase Chapter

n-sided Polygonal Hybrid Finite Elements with Unified Fundamental Solution Kernels

- Pp. 268-311 (44)
Wan-Qing Lin, Hui Wang*

PDF Price: $30

View Abstract Purchase Chapter

Hybrid Fundamental-Solution-Based FEM for Piezoelectric Materials

- Pp. 312-337 (26)
Changyong Cao*, Qing-Hua Qin

PDF Price: $30

View Abstract Purchase Chapter

Subject Index

- Pp. 338-344 (7)
Qing-Hua Qin
Download Free

RELATED BOOKS

.Fundamentals of Mathematics in Medical Research: Theory and Cases.
.Advanced Mathematical Applications in Data Science.
.Markov Chain Process (Theory and Cases).
.Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering.