Manual of the Theory of Elasticity

FRONT COVER
TITLE PAGE
CONTENTS
NOTATION
Chapter 1 THEORY OF STRESS
I. STATIC AND DYNAMIC EQUILIBRIUM EQUATIONS
II. SURFACE CONDITIONS
III. STATE OF STRESS AT A POINT
PROBLEMS
Chapter 2 THEORY OF STRAIN
I. STRAIN EQUATIONS IN ORTHOGONAL CO-ORDINATES
II. STATE OF STRAIN AT A POINT
III. CESARO'S FORMULAS
PROBLEMS
Chapter 3 BASIC EQUATIONS OF THE THEORY OF ELASTICITY AND THEIR SOLUTION FOR SPECIAL CASES
I. ORTHOGONAL CURVILINEAR CO-ORDINATES
II. RECTANGULAR CO-ORDINATES
III. CYLINDRICAL CO-ORDINATES
IV SPHERICAL COORDINATES
PROBLEMS
Chapter 4 GENERAL SOLUTIONS OF THE BASIC EQUATIONSOF THE THEORY OF ELASTICITY. SOLUTION OF THREE-DIMENSIONAL PROBLEMS
I. HARMONIC EQUATION (LAPLACE'S)
II. BIHARMONIC EQUATION
III. BOUNDARY VALUE PROBLEMS FOR THE HARMONIC AND BIHORMONC HARMONIC
IV. VARIOUS FORMS OF THE GENERAL SOLUTIONS OF LAME'S EQUATIONS
PROBLEMS
Chapter 5 PLANE PROBLEM IN RECTANGULAR CO-ORDINATES
I. PLANE STRESS
II. PLANE STRAIN
III. SOLUTION OF BASIC EQUATIONS
PROBLEMS
Chapter 6 PLANE PROBLEM IN POLAR COORDINATES
I. PLANE STRESS
II. PLANE STRAIN
III. SOLUTION OF BASIC EQUATIONS
PROBLEMS
Chapter 7 TORSION OF PRISMATIC AND CYLINDRICAL BARS
I. PURE TORSION OF BARS OF CONSTANT SECTION
II. PURE TORSION OF CIRCULAR BARS (SHAFTS) OF VARIABLE SECTION
PROBLEMS
CHAPTER 8 THERMAL PROILEM
I. STEADY·STATE THERMAL PROCiESS
II. TRANSIENT THERMAL PROCESS
PROBLEMS
Chapter 9 CONTACT PROBLEM
I. THE ACTION OF PUNCHES ON AN ELASTIC HALF-PLAN
II. THE ACTION OF PUNCHES ON AN ELASTIC HALF-SPACE
III. CONTACT BETWEEN TWO ELASTIC BODIES
PROBLEMS
Chapter 10 DYNAMIC PROBLEM
I. SIMPLE HARMONIC MOTION
II. PROPAGATION OF VOLUME WAVES IN AN ELASTIC ISOTROPIC MEDIUM
III. WAVE PROPAGATION OVER THE SURFACE OF AN ELASTIC ISOTROPIC BODY
IV. EXCITATION OF ELASTIC WAVES BY BODY FORCES
V. DEFORMATION OF SOLIDS UNDER CENTRIFUGAL FORCES
VI. PLANE DYNAMIC PROBLEMS
VII. THERMODYNAMIC PROBLEM
PROBLEMS
REFERENCES
AUTHOR INDEX
SUBJECT INDEX
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