Extremum Theorems for the Solution of the Rate Problem in Elastic-Plastic Fracturing Structures
- 1 January 1979
- journal article
- research article
- Published by Taylor & Francis in Journal of Structural Mechanics
- Vol. 7 (4) , 411-434
- https://doi.org/10.1080/03601217908905327
Abstract
An elastic-plastic fracturing solid with regular yield and fracturing surfaces in a quasi-static state of small deformation is considered, A pair of “dual” extremum theorems which reduce the boundary value rate problem to the optimization of convex quadratic forms subject lo linear inequalities and equations is established. The validity in this field of classical extremum principles for clastic-plastic solids is also proved.Keywords
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