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Geometric nonlinearity

Geometric nonlinearity

I am trying to write my own code for geometrically nonlinear analysis of mixed structures (cables, trusses, beams...). I would like to have it as general as possible ie. applicable also to 2D and 3D solids. I am trying to follow nonincremental Newton Raphson procedure from Ansys theory manual, but my computation are not converging.. Can I kindly ask you for advice ?

Here is my flow:

=== Linear analysis ===

(1) inv Kt *F = du

resluts are correct comparing to Ansys

=== Nonlinear analysis ===

while (F_ext - F_int) < 1e-3

(2) u = u +du

zichen's picture

Nonlinear geometric effects in mechanical bistable morphing structures

Bistable structures, exemplified
by the Venus flytrap and slap bracelets, can switch between different
functional shapes upon actuation, and have important applications in
mechanical/electro-mechanical devices ranging from bio-inspired robots to
deployable aeroplane wings. Despite numerous efforts in modeling such large
deformation of shell structures, the roles of mechanical and nonlinear geometric
effects on bistability remains elusive. Closely related, emerging challenges
include modeling the spontaneous curving and buckling of thin objects such as

Sébastien Turcaud's picture

Inverse eigenstrain analysis based on residual strains in the case of small strain geometric nonlinearity


I was wondering if someone knows literature related to "Inverse eigenstrain analysis based on residual strains in the case of small strain geometric nonlinearity"? (elongated bodies)

In the case of lineralized elasticity I guess one could postulate an eigenstrain distribution as the sum of a finite set of basic eigenstrain distribution and minimize the difference between the predicted and the actual residual strain distribution (retrieved from a synchroton mapping for example).

As done in the paper:

Geometric nonlinearity

hi all,

How to decide the geometric nonlinearity?.

i.e If i consider a sturcutre for example-fishing rod or wind turbine blade, how to decide that the structure is geometrically nonlinear.

Does it requires lots of calculations or by experimentation... For example by just observing the structure, is it possible to decide?

What are the reasons to consider the geometric nonliearities.



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