Plastic Analysis under Combined Stresses

by Donald E. Grierson, (M.ASCE), Assoc. Prof.; Solid Mechanics Div., Dept. of Civ. Engrg., Univ. of Waterloo, Waterloo, Ontario, Canada,
Saleh B. Abdel-Baset, Post-Doctoral Fellow; Solid Mechanics Div., Dept. of Civ. Engrg., Univ. of Waterloo, Waterloo, Ontario, Canada,


Serial Information: Journal of the Engineering Mechanics Division, 1977, Vol. 103, Issue 5, Pg. 837-854


Document Type: Journal Paper

Discussion: Askari Mohammad Reza (See full record)
Closure: (See full record)

Abstract: Based on matrix algebra, decomposition, and linear programming techniques, a general mathematical model is developed for rigid-plastic analysis of discrete elements and structures under combined stresses governed by piecewise linear constitutive laws. The model is formulated through reference to skeletal structures but also applies without formal or conceptual changes to discretized plates, shells and multidimensional continua. For skeletal structures, the model is directly applicable to member cross sections to determine piecewise linear yield conditions as well as to entire frameworks to determine collapse loads. Several worked examples concerning both engineering cross sections and planar and space frameworks are presented.

Subject Headings: Stress analysis | Linear analysis | Mathematical models | Structural models | Discrete element method | Failure loads | Aerospace engineering | Space frames

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