Introductory . ... ..... 202
Displacement corresponding with plane strain 202
Displacement corresponding with plane stress ... . 204
Generalized plane stress 206
Introduction of nuclei of strain 206
Force operative at a point 207
Force operative at a point of a boundary 208
Case of a straight boundary 209
Additional results : (i) the stress function, (ii) normal tension on a segment
of a straight edge, (iii) force at an angle, (iv) pressure on faces of wedge 209
Typical nuclei of strain in two dimensions 211
Transformation of plane strain 213
Inversion 213
Equilibrium of a circular disk under forces in its plane, (i) Two opposed
forces at points on the rim. (ii) Any forces applied to the rim. (iii) Heavy
disk resting on horizontal plane . . 215
Examples of transformation 217
Appendix to Chapters VIII and IX. Volterea's
Theory of Dislocations
a. Introductory, (a) Displacement answering to given strain. (6) Discon-
tinuity at a barrier, (c) Hollow cylinder deformed by removal of a
slice of uniform thickness, {d) Hollow cylinder with radial fissure
Chapter X. Theory of the integration op the equations
of equilibrium of an isotropic elastic solid body
. Nature of the problem
. R&ume of the theory of Potential .
. Description of Betti's method of integration .
. Formula for the dilatation ....
. Calculation of the dilatation from surface data
. Formulse for the components of rotation .
. Calculation of the rotation from surface data .
. Body bounded by plane — Formulae for the dilatation
. Body bounded by plane — Given surface displacements
. Body bounded by plane — Given surface tractions
. Historical Note
. Body bounded by plane — Additional results .
. Formulse for the displacement and strain
. Outlines of various methods of integration
