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4 pt bend specimen

ravitejk4u's picture

here i had given the specimen orientation with  loading direction.

i got a doubt that can i use plate theory for this kind of loading. 

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ramdas chennamsetti's picture

R. Chennamsetti, Scientist, R&D Engineers, India

It looks this model has different dimensions that you posted earlier (140mm L X 40 mm W X 10 mm Thick), right?

This model looks like a thick beam. You may use Timoshenko beam theory.

 

 

ravitejk4u's picture

 hi ramdas,

thanks for your reply. i had added shear correction factor to the difflection obtained from beam theory.

but i hadnt tried timoshenko beam theory.  

Ravitej Kommana
IIT Kanpur
INDIA.

ravitejk4u's picture

 hi

i had modeled this specimen in abaqus with a loading of 40N,

elements used are "20 noded brick element with reduced integration". actually there is considerable difference in values of deflection obtained from abaqus and those from theory(including the shear effects also).

deflection obtained from abaqus=0.022mm(approx) 

deflection obtained from theory(beam thery deflection+deflection due to shear)=0.016mm(aprox)

almost there is 25% difference. thats why i had tried with large diflections in beam, ie., differntial equation in term of the curvature. but in this i had strucked up with ∫Tan(x^2)dx.

please guide me in this aspect?

 

Ravitej Kommana
IIT Kanpur
INDIA.

ramdas chennamsetti's picture

R. Chennamsetti, Scientist, R&D Engineers, India

In your model, the constraints are given on lines. You extend these constraints to whole face 10X40 mm, then analyse.

In beam theory, we assume that the end conditions like hinged, fixed and free are given to the whole cross-section.

ravitejk4u's picture

 hi ramdas

thank you..ur suggestion had worked well..

finally could able to find my mistake, was in assigning boundary conditions to the specimen.

now i had applied the suggested boundary condition to whole surface(40*10) and the results were matching with theoritical.

thank you very much. 

Ravitej Kommana
IIT Kanpur
INDIA.

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