Functional Materials and Advanced Manufacturing

15

2

Closed Form Solution

for the Vibrational

Analysis of Metal–

Ceramic-Based Porous

Functionally Graded Plate

Yogesh Kumar, Ankit Gupta, and Dheer Singh

Shiv Nadar University

CONTENTS

2.1 Introduction .................................................................................................... 15

2.1.1 Mathematical Formulation ................................................................. 16

2.1.1.1 Displacement Field............................................................... 16

2.1.1.2 Energy Equations................................................................. 18

2.1.1.3 Constitutive Relation ...