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New shear lock free finite elements with arbitrary higher order derivative

Submitted by psubbu2000 on

A set of highly efficient and shear lock free finite elements based on Timoshenko  beam and Reissner-Mindlin plate theories has been developed for the analysis of thin and thick structures. These elements have arbitrary higher order derivatives and do not require any spcial integration scheme. All are isoparametric elements.

P.Subramanian

Abaqus results

Submitted by sigmacoder on
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Hi,



i try to simulate a 3 points bending of a glass plate with abaqus.



force 1kN !



young modulus = 7e10 Pa



Poisson's ratio = 0.22



- the plate is square (30 cm) , thickness 8.72 mm



- i use 3D extruded solid



- for the load i can't create a line load so i replace this load by pressure in a thin surface (2mm*30cm) applied in the center of the plate



- C3D8R element type



 but the results are strange:



a question about vibration of plates having variable thickness

Submitted by sayad.boreyri on

Hi everybody!

for plates with constant thickness and two opposite sides simply-supported B.Cs, we can write w(x,y)=f(y)*sin(m.Pi.x) and solving the problem from this viewpoin.

I wonder whether this approach is true for plates with (linearly) variable thickness?

many thanks

von Karman plate equations

Submitted by Rui Huang on

Many of us (including myself) have used the nonlinear equations for elastic plates, originally proposed by von Karman (1910). I recently came across a book with some interesting comments about the plate equations, which may be of interest to share with others on imechanica. The book's title is "Plates and Junctions in Elastic Multi-Structures", authored by Philippe G. Ciarlet and published by Springer-Verlag in 1990.

Time depended modeling of plate

Submitted by Mike W. Long on
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Hello,

i'm working on the modeling of thin plate under transverse load. The basic function used for approximation of field variable is RBF function. There are a lot of publications, how the static model of the plate can be created, but no information about dynamic modeling. The following questions are not clear for me:

S. Germain, "Memoir on the Vibrations of Elastic Plates"

Submitted by MichelleLOyen on

I have not read the above-mentioned paper, as I have never been able to find it. However it is said to be "a brilliantly insightful paper which was to lay the foundations of modern elasticity." However, I believe it is also noteworthy for being one of the major contributions by a female mechanician prior to the modern era. For a great biography of Sophie Germain, including a fantastic quote from a letter from Carl Gauss on discovering that she was female--and not "Monsieur Le Blanc"--visit this site (from which the above quote, on the impact of her paper, came).

There are no female mechanicians listed on http://en.wikipedia.org/wiki/Mechanicians but I believe it could be argued that Germain deserves a mention!