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Elsevier

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

Description

Higher-Order Theories of Functionally Graded Circular Cylindrical Beams and Columns provides a detailed exploration of the mechanical behaviors of functionally graded circular cylindrical beams and columns, including bending, vibration, and stability, and considering factors such as shear deformation, cross-section warping, elastic foundation interaction, non-local effects in nanoscale and piezoelectric and flexoelectric, and more. With a focus on higher-order theories and advanced analytical methods, the book enables researchers to gain a deeper understanding of the fundamental principles governing the behavior of circular cylindrical structures. The detailed derivations and explanations of complex equations and concepts assist in the development of new research.

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.

Key features

  • 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

Readership

Research scholars in mechanical and civil engineering: those engaged in cutting-edge research on structural stability, vibration analysis, and material behaviour; these scholars will benefit from the comprehensive coverage in the book of the latest research findings and advanced theoretical models

Table of contents

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

Product details

  • Edition: 1
  • Latest edition
  • Published: August 1, 2026
  • Language: English

About the authors

XZ

Xueyang Zhang

Dr Xueyang Zhang graduated from the School of Civil Engineering at Central South University with a Ph.D. degree in 2019. From 2017-2018 he worked at the Department of Mechanical Engineering, University of Alberta (Canada) as a visiting researcher founded by the China Scholarship Council (CSC). He is currently an associate professor of civil engineering at the School of Civil Engineering, CSU. Dr. Zhang’s main research interests are the fields of generalized thermoelasticity, thermal-induced fracture mechanics as well as thermoelastic damping of micro/nano-resonators
Affiliations and expertise
Central South University, China

WM

Weili Ma

Dr Ma's main research areas are the mechanical behaviour of new smart materials, structural analysis and optimal design
Affiliations and expertise
Chang’an University

ZH

Zhen-Liang Hu

Dr. Hu’s main research interests are the fields of elastic theory, mechanics of materials under extreme conditions, micro/nano mechanics and fracture and damage mechanics, as well as intelligent materials and structural mechanics
Affiliations and expertise
University of South China

XL

Xianfang Li

Dr. Xianfang Li is currently a professor in the School of Civil Engineering, Central South University. His areas of research interest include elasticity, fracture mechanics, micro/nano-mechanics, mechanics for multi-field coupling, smart materials and structures
Affiliations and expertise
Central South University