Higher-Order Theories of Functionally Graded Circular Cylindrical Beams and Columns
- 1st Edition - August 1, 2026
- Latest edition
- Authors: Xueyang Zhang, Weili Ma, Zhen-Liang Hu, Xianfang Li
- Language: English
Higher-Order Theories of Functionally Graded Circular Cylindrical Beams and Columns provides a detailed exploration of the mechanical behaviors of functionally graded circul… Read more
The book helps engineers identify and address potential issues in the design and analysis of circular cylindrical structures. Detailed discussions on factors affecting mechanical performance, such as material selection, geometric parameters, and loading conditions enable engineers to make informed decisions and optimize their designs for improved performance and safety.
- Presents advanced theoretical models for analyzing the mechanical behavior of circular cylindrical beams and columns
- Includes higher-order shear deformation beam theories that accurately account for shear deformation, rotary inertia, and cross-section warping
- Provides more precise predictions compared to traditional theories, enabling engineers and researchers to design and analyze structures with greater confidence
- Explores the various factors that influence the mechanical properties of circular cylindrical structures
- Combines computational results to validate and enhance the understanding of theoretical models
1. Introduction
1.1 Background of Functionally Graded (FG) Circular Cylindrical Structures
1.2 The Euler-Bernoulli Beam Theory
1.3 The Timoshenko Beam Theory
1.4 The Higher-Order Beam Theories
1.5 Scope of the Book
2. Bending of Higher-Order FG Circular Cylindrical Beams
2.1 Assumption and Governing equations
2.2 The Boundary Conditions
2.3 Closed Form Analytical Solution
2.4 Bending Behaviours Analysis
2.5 Chapter Summary
3. Vibration of Higher-Order FG Circular Cylindrical Beams
3.1 Assumption and Governing equations
3.2 The Boundary Conditions
3.3 Free Vibration Analysis
3.4 Forced Vibration Analysis
3.5 Chapter Summary
4. Stability of Higher-Order FG Circular Cylindrical Columns
4.1 Assumption and Governing equations
4.2 The Static Stability
4.3 The Dynamic Stability
4.4 Effects of Engesser’s and Haringx’s Hypotheses
4.5 Chapter Summary
5. The Buckling and Stability with Various Elastic Foundations
5.1 Introduction of Elastic Foundation Models
5.2 Winkle-Pasternak Foundation
5.3 Vlasov (Kerr) Foundation
5.4 Viscoelastic Foundation
5.5 Chapter Summary
6. Non-local Effects in Nanoscale
6.1 Introduction of Non-local Elastic Theories
6.2 Assumption and Governing equations
6.3 Bending Behaviours
6.4 Vibration Analysis
6.5 Buckling and Stability Analysis
6.6 Chapter Summary
7. Some Advanced Topics and Applications
7.1 Thermoelastic Coupling Effects
7.2 Surface Effects
7.3 Piezoelectric and Flexoelectric Effects
7.4 The Coupled Stress Effects
7.5 Chapter Summary
- Edition: 1
- Latest edition
- Published: August 1, 2026
- Language: English
XZ
Xueyang Zhang
WM
Weili Ma
ZH
Zhen-Liang Hu
XL