Mechanicslearner
Structural
- Jan 15, 2016
- 87
Hello Abaqus users,
I am trying to learn how Abaqus calculates plastic strain when cantilever beam is subjected to transverse load at the tip. For axial load it can be predicted from displacement but for transverse load due to bending of beam due to point load at tip it seems different. My model is like this a cantilever beam of length 10 m which is line model, rectangular cross section of width 1 metre and height 0.5 metre and E = 210 GPa , poisson's ratio = 0.33, yield stress is 210 Mpa where plastic strain is 0 but as stress increase plastic strain increase too, its bilinear stress strain graph. I am using Abaqus static, general with nonlinear.
I also tried this but not even close to accuracy
εp = y/Rep - y/Re (1)
where Rep = the elasto-plastic radius of curvature and Re = elastic radius of curvature and y = vertical distance of point from the neutral axis.
1/Rep = w''(x) = Me1.5*sgn(M)/EI/[ 3Me-2|M| ]0.5
while 1/Re = Me/EI
and M = bending moment at the given point > Me
Me = limiting elastic bending moment or yield bending moment.
Does it depends on geometry of bending or there is actually formula for calculating plastic strain. Please help me with this I am trying for few days to get the answers.
I am trying to learn how Abaqus calculates plastic strain when cantilever beam is subjected to transverse load at the tip. For axial load it can be predicted from displacement but for transverse load due to bending of beam due to point load at tip it seems different. My model is like this a cantilever beam of length 10 m which is line model, rectangular cross section of width 1 metre and height 0.5 metre and E = 210 GPa , poisson's ratio = 0.33, yield stress is 210 Mpa where plastic strain is 0 but as stress increase plastic strain increase too, its bilinear stress strain graph. I am using Abaqus static, general with nonlinear.
I also tried this but not even close to accuracy
εp = y/Rep - y/Re (1)
where Rep = the elasto-plastic radius of curvature and Re = elastic radius of curvature and y = vertical distance of point from the neutral axis.
1/Rep = w''(x) = Me1.5*sgn(M)/EI/[ 3Me-2|M| ]0.5
while 1/Re = Me/EI
and M = bending moment at the given point > Me
Me = limiting elastic bending moment or yield bending moment.
Does it depends on geometry of bending or there is actually formula for calculating plastic strain. Please help me with this I am trying for few days to get the answers.