August 2004
Intermediate to advanced
480 pages
12h 35m
English
Transformation of Field Variables Between Cartesian, Cylindrical, and Spherical Components
This appendix contains some three-dimensional transformation relations between displacement and stress components in Cartesian, cylindrical, and spherical coordinates. The coordinate systems are shown in Figure A-1 in Appendix A, and the related stress components are illustrated in Figure B-1. These results follow from the general transformation laws (1.5.1) and (3.3.3). Note that the stress results can also be applied for strain transformation.

FIGURE B-1 Stress components in cylindrical and spherical coordinates.
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