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Radiation in 1D beam finite elements

Hi everyone,

 

Has anyone ever come across the treatment of radiation heat transfer in one-dimensional beams using FEM ? Convection and conduction are well established, but I was wondering whether radiation is still an open area of research?

 Any links to publications would be very much appreciated, Thank you

Stress-strain hysteresis model

Hi all,

 

Is it possible to model stress-strain hysteresis loops (with isotropic or/and kinematic hardening) without using rate quations? For the case of monotonic loading, bilinear or trilinear  hardening models can be easily written. But in the case of cyclic loading can the Bauschinger effect be incorporated in a simply manner?

 In a paper by Hajjar "Evolution of stress-resultant loading and ultimate strength surfaces in cyclic plasticity of steel wide-flange cross-sections" , such model seems to be used but with no detail of the formulation.

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