Call number:
ZSP-202-307
In:
Research report
Description / Table of Contents:
CONTENTS: Introduction. - Part 1.The concept of isotropy clarified by the introduction of non-coaxial mechanics. - Part 2. Systematization of the theory of plasticity with indefinite angle of non-coaxiality. - Analysis of stress. - Analysis of strain-rate. - Principle of partial coincidence. - Strain-rate characteristic directions. - Equations for practical use. - Conclusion. - Literature cited. - Appendix A.The sense of the [Sigma],[Gamma] coordinate system. - Appendix B. Another derivation of the equations of velocity components. - Appendix C. Equations of velocity components in stress characteristic directions.
Description / Table of Contents:
One of the difficulties that have hampered the development of the mathematical theory of soil plasticity was recently overcome by Mandl and Luque. They showed that the non-coaxiality of the principal axes of a stress tensor and a strain-rate tensor can occur only in plane deformation. Their assumption that the angle of non-coaxiality should be a material constant cannot be supported, however. The angle of noncoaxiality should be determined so that the solution to the given problem can exist. It is demonstrated in one of the examples in this paper that a well-known solution in which the angle of non-coaxiality is assumed to be zero does violate the assumed boundary condition. The theory was reorganized bv using new insights given by Mandl and Luque. It is concluded that still missing is one condition that enables us to determine the angle of non-coaxiality as a function of space.
Type of Medium:
Series available for loan
Pages:
iii, 31 Seiten
,
Illustrationen
Series Statement:
Research report / Cold Regions Research and Engineering Laboratory, CRREL, US Army Material Command 307
URL:
http://www.worldcat.org/oclc/1103309860
Language:
English
Branch Library:
AWI Library
