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 which 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.
Table of Contents
Chapter 1 Introduction to Hybrid-Trefftz Finite Element Method
Chapter 2 Hybrid Finite Elements for Non-Homogeneous Problems
Chapter 3 Thermal Analysis of Composites with Trefftz Finite Element Methods
Chapter 4 Hybrid-Trefftz Finite Element Method for Heat Conduction in Functionally Graded Materials
Chapter 5 Introduction to Fundamental Solution Based Finite Element Methods
Chapter 6 Hybrid Fundamental Solution Based Finite Element Method for Axisymmetric Potential Problems
Chapter 7 Rotordynamic Response of Tapered Composite Driveshafts Based on Hierarchical Shaft Finite Element
Chapter 8 N-Sided Polygonal Hybrid Finite Elements with Unified Fundamental Solution Kernels
Chapter 9 Hybrid Fundamental-Solution-Based Fem for Piezoelectric Materials
Subject Index
Author
- Qing-Hua Qin
