Related Experiment Video
Updated: Aug 15, 2026

Experimental Methods for Investigation of Shape Memory Based Elastocaloric Cooling Processes and Model Validation
Published on: May 2, 2016
Finite element thermoelastic analysis of functionally graded spherical shells
Anil Kumar1, Gopal Kumar Gupta2, Ajit Kumar Singh3
1Department of Mathematics, University of Allahabad, 211002, Prayagraj, India. anilkumar@allduniv.ac.in.
This study analyzes the thermoelastic behavior of graphene functionally graded materials under generalized thermoelastic theories. The finite element method is essential for accurately modeling these advanced materials, crucial for structural applications.
Area of Science:
- Materials Science
- Mechanical Engineering
- Solid Mechanics
Background:
- Graphene nanoplatelets enhance matrix properties, creating lightweight yet strong functionally graded materials.
- Thermoelastic analysis is vital for predicting performance and reliability in complex structures under thermal and mechanical loads.
- Functionally graded materials (FGMs) offer tailored properties by varying composition across their structure.
Purpose of the Study:
- To investigate the thermoelastic response of graphene-based FGMs, specifically Graphene-Copper and Graphene-Titanium-Zirconium.
- To apply generalized thermoelastic theories to spherical shell models.
- To highlight the necessity of the finite element method for analyzing FGMs with spatially varying thermal properties.
Main Methods:
- Formulation of the thermoelastic problem for spherical shells using two generalized thermoelastic theories.
- Application of the Laplace transform technique to simplify governing equations by removing time dependency.
- Utilization of the finite element method to handle the non-linearity arising from spatially dependent thermal parameters.
Main Results:
- Comparative analysis of thermoelastic behavior in Graphene-Copper and Titanium-Zirconium FGMs.
- Demonstration of the finite element method's effectiveness in generalized thermoelasticity for FGMs.
- Numerical results visualized through graphs for comprehensive analysis of field variables.
Conclusions:
- The study underscores the significance of generalized thermoelasticity in understanding FGM behavior.
- The finite element method is indispensable for accurate thermoelastic analysis of FGMs with complex property variations.
- Findings provide insights for designing reliable advanced structures utilizing graphene-based FGMs.
Related Concept Videos
Thin-Walled Hollow Shafts
Members Made of Elastoplastic Material
As the bending moment...
Bending of Members Made of Several Materials
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each material's...
Temperature Dependent Deformation
Generalized Hooke's Law
Thermal expansion and Thermal stress: Problem Solving
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55 °C.