305 



CONTENTS 

 ABSTRACT 



I. GENERAL THEORY OF THE AXIALLY SYMMETRIC DEFORMATION OF THIN 



PLATES 1 



1. Introduction 1 



2. Model and Basic Assumptions 1 



3. Expansion in Terms of an Auxiliary Parameter and a Method 



of Successive Approximation 7 



4. Thin-Plate Equations in the First Approximation 10 



II. HYDRODYNAMICS OF THE LOADIN-^ OF THE PLATE BY AN UNDERWATER 

 EXPLOSION WAVE 14 



1. 'General Theory 14 



2. Cavitation 18 



III. APPROXIMATE THEORY OF CIRCULARLY CLAMPED PLATES CONSTRAINED 



TO A PARABOLIC PROFILE 20 



1. Introduction 20 



2. Equations of Motion 20 



3. Deflection of Circular Diaphragm by an Exponential Wave 22 



IV. THE PLASTIC DEFORMATION OF A THDI, CIRCULAR PLATE WITH AN 

 UNCONSTRAINED PROFILE 28 



1. Introduction 28 



2. Equation of Motion 29 



3. Solution of Equation of Motion Using Two Terms in Bessel 

 Function Expansion of the Deflection. Presentation of 

 Numerical Results 33 



4. The Initial Phase of the Plastic Deformation of a Thin 



Plate 50 



V. COMPARISON OF THE THEORIES OF PARTS III AND IV WITH EXPERIMENT 55 



