Hi folks !
I have a question which is more mathematical than mechanical. However since it is to solve mechanical problem, one of you may have an answer !
I want to solve a non-linear problem with non-linear equality constrains and I'm using a augmented Lagrangian with a penalty regularization term that, as well known, spoils the condition number of my linearized systems (at each Newton iteration I mean). The bigger the penalty term, the worse the condition number is. Would someone know an efficient way to get rid of this bad conditioning in that specific case ?
Dear all,
I am confused with the calculation of elasticity tensor of hyperelastic material in plane stress configuration. Your helps are very much appreciated. Below is my question:
Incompressible strain energy function is expressed as, saying, U=***+p(J-1).
Therefore, the second piola-kirchhoff stress is: S=***+pC^-1 (the Lagrange muliplier p is treated as an arbitrary constant here, right?).
Using the plane stress condition, S<33>=0 so that p is updated as a function of deformation.
We have employed continuum elastic model such as plate model for understanding the nonlinear vibration behavior of monolayer graphene and graphene resonator-based mass sensing. This work was published in Nanoscale Research Letters (Vol. 7, Art No. 499, 2012).
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