Skip to main content

Linearization procedure in nonlinear FEM

Submitted by phunguyen on
Forums
Computational Mechanics Forum

Hello,

As far as I know, there are two ways to derive the linearized equations (employed in the Newton-Raphson method) in nonlinear finite element methods. 

In the first approach, starting with the weak formulation, the FE approximations are substituted into the weak form, you then get the semi-discrete equations. After that, the linearization is applied on this discrete equation to get the tangent matrix. The book of Prof. Ted Belytschko followed this approach.

Predicting the Young’s modulus of nanowires from first-principles calculations on their surface and bulk materials

Submitted by guofengwang on
research

Prof. Xiaodong Li and I are collaborating in identifying those physical mechanisms that govern the mechanical properties of nanomaterials. Recently, we have a manuscript accepted by the Journal of Applied Physics and would like to share it with you.

Method to analyze programmable deformation of dielectric elastomer layers

Submitted by Xuanhe Zhao on
research
suo group research
dielectric elastomer
programable matter
nominal electric field
ABAQUS UMAT
As a complement to the current issue of journal club, I would like to bring your attention to our current work on dielectric elastomers. 
Subscribe to