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<pre class="moz-quote-pre" wrap="">Attention:
- Different room
- Different time
I N V I T A T I O N
===============================================
to the Research Seminar 'Computer Graphics, Image Processing, and
Visualization'
on Wednesday, September 18th, 2019, at 3:00 PM,
in Room P-901 in the Paulinum, Augustusplatz.
===============================================
A talk will be given by
Chiara Hergl
and is entitled
"Visualization of Symmetries in Fourth-Order Stiffness Tensors".
Abstract:
Many materials like wood, biological tissue, composites or
rock have anisotropic mechanical properties. They become
increasingly important in modern material, earth, and life sciences.
The stress-strain response of such materials can be characterized
(to first-order) by the three-dimensional fourth-order stiffness tensor.
There are different anisotropy classes, i.e. material symmetries,
that differ in the number and orientation of symmetry planes characteristic
of the material.
A three-dimensional fourth-order stiffness tensor of a hyperelastic
material has up to 21 independent coefficients representing both
moduli and orientation information which challenges any visualization method.
Therefore, we use a fourth-order tensor decomposition to compute
the anisotropy classes and the position of the corresponding symmetry planes.
To facilitate judgment of the significance of the amount of anisotropy,
we construct an isotropic material.
Based on these computations, we design a glyph that represents the stiffness tensor.
We demonstrate our method in a finite deformation setting of an initially isotropic
hyperelastic material of Ogden class which is often modeling biological tissue.
Upon deformation, the stiffness tensor can evolve along with its symmetry
creating an inhomogeneous, unsteady fourth-order tensor field in three dimensions.
===============================================
On behalf of Professor Scheuermann all those interested are cordially
invited to attend.
Yours sincerely
Vanessa Kretzschmar
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