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Sufficient conditions for uniqueness of incremental response and overall stability are established and discussed for elastic plastic trusses containing unstable members; criteria consist of positive definiteness of matrices built up with elastic influence coefficients of bar-forces for dislocations and with plastic compliances of members at yield point; normality of incremental plastic displacement vector in load-space is shown to hold, irrespective of instability, nonlinearity in elastic range and changes of elastic behavior due to plastic strains; convexity of loading surfaces is also discussed, with special reference to case of nonlinear elastic response of some members.
Sufficient conditions for uniqueness of incremental response and overall stability are established and discussed for elastic plastic trusses containing unstable members; criteria consist of positive definiteness of matrices built up with elastic influence coefficients of bar-forces for dislocations and with plastic compliances of members at yield point; normality of incremental plastic displacement vector in load-space is shown to hold, irrespective of instability, nonlinearity in elastic range and changes of elastic behavior due to plastic strains; convexity of loading surfaces is also discussed, with special reference to case of nonlinear elastic response of some members.
Behavior of elastic-plastic trusses with unstable bars
ASCE -- Proc (J Eng Mechanics Div)
Maier, G. (author)
1966
25 pages
Article (Journal)
English
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