Relationship of stresses vs. loads in linear analysis
Relationship of stresses vs. loads in linear analysis
(OP)
Let's assume we have the most general structural FEM model, which is being simulated with a classical linear FEA solution (no source of non-linearity is being considered). We know that if we run with load 1.0*P, 2.0*P, or even 3.0*P, we can predict deflections (displacements) will be the corresponding 1.0*u, 2.0*u, and 3.0*u, since there exists a linear relationship by means of the stiffness matrix.
But what conclusion can we make about the stresses? Will stresses scale linearly in the same fashion if we duplicate or triplicate the applied load? What about the stress components? Can we still assume the stress tensor will scale in the same factor?
What about von Mises stresses (by definition its formula does not seem to be linear)?
But what conclusion can we make about the stresses? Will stresses scale linearly in the same fashion if we duplicate or triplicate the applied load? What about the stress components? Can we still assume the stress tensor will scale in the same factor?
What about von Mises stresses (by definition its formula does not seem to be linear)?
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RE: Relationship of stresses vs. loads in linear analysis
RE: Relationship of stresses vs. loads in linear analysis
Linear means linear, for 2*P everything in the FEA "should" be 2*(1P) ... displacements, stresses, principal stresses, von Mises, etc. Run 1P and @P loads, then factor 1P results (most FEA allows you to do this) and see the difference (2*1P-2P) (most FEA allows you to do this too)
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RE: Relationship of stresses vs. loads in linear analysis
RE: Relationship of stresses vs. loads in linear analysis