Theory of Elasticity: Volume 7

Front Cover
A comprehensive textbook covering not only the ordinary theory of the deformation of solids, but also some topics not usually found in textbooks on the subject, such as thermal conduction and viscosity in solids.


 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

FUNDAMENTAL EQUATIONS 1 The strain tensor
1
The stress tensor
3
The thermodynamics of deformation
7
Hookes law
9
Homogeneous deformations
11
Deformations with change of temperature
14
The equations of equilibrium for isotropic bodies
16
Equilibrium of an elastic medium bounded by a plane
23
DISLOCATIONS 27 Elastic deformations in the presence of a dislocation
108
28 The action of a stress field on a dislocation
116
29 A continuous distribution of dislocations
119
As well as some minor corrections and additions a chapter on the macroscopic theory
122
30 Distribution of interacting dislocations
124
Equilibrium of a crack in an elastic medium
127
THERMAL CONDUCTION AND VISCOSITY IN SOLIDS 32 The equation of thermal conduction in solids
133
Thermal conduction in crystals
134

Solid bodies in contact
26
longitudinal velocity of sound
31
The elastic properties of crystals
32
THE EQUILIBRIUM OF RODS AND PLATES gil The energy of a bent plate
38
12 The equation of equilibrium for a plate
40
13 Longitudinal deformations of plates
46
14 Large deflections of plates
50
Deformations of shells
54
Torsion of rods
59
Bending of rods
64
g18 The energy of a deformed rod
67
19 The equations of equilibrium of rods
70
20 Small deflections of rods
76
The stability of elastic systems
83
ELASTIC WAVES 22 Elastic waves in an isotropic medium
87
23 Elastic waves in crystals
92
24 Surface waves
94
Vibration of rods and plates
99
Anharmonic vibrations
104
Viscosity of solids
135
The absorption of sound in solids
137
Highly viscous fluids
142
MECHANICS OF LIQUID CRYSTALS 837 Static deformations of nematics
144
Straight disclinations in nematics
147
Nonsingular axially symmetrical solution of the equilibrium equations for a nematic
152
Topological properties of disclinations
156
Equations of motion of nematics
158
42 Dissipative coefficients of nematics
163
43 Propagation of small oscillations in nematics
165
Mechanics of cholesterics
170
Elastic properties of smectics
172
Dislocations in smectics
177
Equations of motion of smectics
179
Sound in smectics
182
Index
185
viii
186
Copyright

Other editions - View all

Common terms and phrases

About the author (1986)

Lev Davidovich Landau was born on January 22, 1908 in Baku, U.S.S.R (now Azerbaijan). A brilliant student, he had finished secondary school by the age of 13. He enrolled in the University of Baku a year later, in 1922, and later transferred to the University of Leningrad, from which he graduated with a degree in physics. Landau did graduate work in physics at Leningrad's Physiotechnical Institute, at Cambridge University in England, and at the Institute of Theoretical Physics in Denmark, where he met physicist Neils Bohr, whose work he greatly admired. Landau worked in the Soviet Union's nuclear weapons program during World War II, and then began a teaching career. Considered to be the founder of a whole school of Soviet theoretical physicists, Landau was honored with numerous awards, including the Lenin Prize, the Max Planck Medal, the Fritz London Prize, and, most notably, the 1962 Nobel Prize for Physics, which honored his pioneering work in the field of low-temperature physics and condensed matter, particularly liquid helium. Unfortunately, Landau's wife and son had to accept the Nobel Prize for him; Landau had been seriously injured in a car crash several months earlier and never completely recovered. He was unable to work again, and spent the remainder of his years, until his death in 1968, battling health problems resulting from the accident. Landau's most notable written work is his Course of Theoretical Physics, an eight-volume set of texts covering the complete range of theoretical physics. Like several other of Landau's books, it was written with Evgeny Lifshitz, a favorite student, because Landau himself strongly disliked writing. Some other works include What is Relativity?, Theory of Elasticity, and Physics for Everyone.

Bibliographic information