Nonlocal Mechanical Behaviour of Functionally Graded Composite Nanostructures

Chinika Dangi, Susmita Naskar

• Publisher: CRC Press
• Year: 2026
• eBook ISBN:
  9781040690994
• Topic: Technology & Engineering
• Index: Technology & Engineering

The intricate domain of composite structures, particularly functionally graded nanostructures, presents a fascinating area of study with immense potential for scientific and industrial advancements. This book delves into the unique properties and applications of these advanced materials, providing an in?depth understanding of the continuum theories that underpin functionally graded nanostructures. The authors explore both theoretical foundations and practical insights into the modelling and numerical simulations of the mechanical behaviour of functionally graded materials and structures.

• Provides a thorough exploration of the wide array of modelling techniques and computational methods pivotal for studying functionally graded nanostructures
• Offers unique insights into the behaviour of functionally graded materials, allowing for a multifaceted exploration of their properties and applications
• Covers the influence of material gradation on mechanical performance and the effects of environmental factors like temperature and humidity
• Combines theoretical foundations with practical insights
• Discusses challenges associated with manufacturing and testing these advanced materials

By presenting a detailed and nuanced view of functionally graded nanostructures, this book equips readers in materials engineering and related fields with the knowledge and tools needed to understand the complex interactions and behaviours of these materials under various conditions.

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Table of Contents
• Preface
• 1 Introduction to Nonlocal Continuum Theory and Composite Nanostructures
• 1.1 Overview
• 1.2 Numerical Techniques
• 1.3 Nonlocal Characteristics of BD-FG Nanostructures
• 1.3.1 Organization of the Book
• References
• 2 Thermo-Mechanical Model of the Vibration Behaviour of BD-FG Nonuniform Nanobeams
• 2.1 Overview
• 2.2 Mathematical Framework
• 2.2.1 Temperature-Dependent Material Properties of BD-FG Nanobeam
• 2.2.2 Eringen’s Nonlocal Elasticity Theory
• 2.2.3 Energy Relations
• 2.2.4 Nonlocal Governing Equations of Motion
• 2.3 Method of Solution
• 2.4 Results and Discussion
• 2.4.1 Convergence Study and Validation
• 2.4.2 Vibration Analysis
• 2.5 Summary
• References
• 3 Influence of In-Plane Load on the Thermal Buckling and Vibration Characteristics of BD-FG Nonuniform Nanobeams
• 3.1 Overview
• 3.2 Mathematical Formulation
• 3.2.1 Energy Relations
• 3.2.2 Nonlocal Governing Equations of Motion
• 3.3 Solution Procedure
• 3.4 Results and Discussion
• 3.5 Summary
• References
• 4 Influence of In-Plane Load and Nonlinear Thermal Field on the Vibration Response of Embedded BD-FG Nanobeams
• 4.1 Overview
• 4.2 Mathematical Framework
• 4.2.1 Energy Relations
• 4.2.2 Nonlocal Governing Equations of Motion
• 4.3 Numerical Procedure
• 4.4 Results and Discussion
• 4.5 Summary
• References
• 5 Influence of Surface Energies on Nonlocal Vibrations of BD-FG Nanobeams
• 5.1 Overview
• 5.2 Mathematical Formulation
• 5.2.1 Material Properties of BD-FG Nanobeam with Surface Layers
• 5.2.2 Strain-Displacement Relations
• 5.2.3 Surface Elasticity Theory
• 5.2.4 Nonlocal Stress–Strain Relations and Stress Resultants and Moments
• 5.2.5 Energy Relations
• 5.2.6 Nonlocal Governing Equations of Motion Based on Timoshenko’s Beam Theory
• 5.3 Solution Procedure
• 5.4 Results and Discussion
• 5.5 Summary
• References
• 6 Effect of Nonuniform Geometry of Nanobeam on Nonlocal and Surface Energies of Nanobeam and Vibration Analysis
• 6.1 Overview
• 6.2 Mathematical Formulation
• 6.2.1 Nonlocal Governing Equation of Motion
• 6.3 Solution Procedure
• 6.4 Results and Discussion
• 6.5 Summary
• References
• 7 Nonlocal Surface Model of Vibrations and Buckling of BD-FG Nanobeam Embedded with Piezoelectric Layers
• 7.1 Overview
• 7.2 Mathematical Formulation of Vibrations for BD-FGP Nanobeam
• 7.2.1 Nonlocal Theory of Piezoelectricity with Surface Effect
• 7.2.2 Surface Elasticity Theory
• 7.2.3 Eringen’s Nonlocal Elasticity Theory
• 7.3 Results and Discussion
• 7.4 Summary
• References
• 8 Conclusions and Future Scope
• 8.1 Overview
• 8.1.1 Generalized Mathematical Models
• 8.1.2 Stochastic Models and Uncertainty Quantification
• 8.1.3 Multi-Field Modelling of Smart Nanostructures
• 8.1.4 AI-Driven Nonlocal Mechanics and Materials Informatics
• 8.2 Summary
• Index