Quality-Preserving Linear Elasticity Mesh Movement Algorithm for Multi-Element Unstructured Meshes

AIAA Journal ◽  
2019 ◽  
Vol 57 (2) ◽  
pp. 521-531
Author(s):  
David A. Brown ◽  
Siva Nadarajah ◽  
Hong Yang ◽  
Patrice Castonguay ◽  
Hassan Raiesi ◽  
...  
Keyword(s):  
Linear Elasticity ◽  
Unstructured Meshes ◽  
Mesh Movement

scholarly journals A block-coupled Finite Volume methodology for linear elasticity and unstructured meshes

2016 ◽  
Vol 175 ◽  
pp. 100-122 ◽  
Author(s):  
P. Cardiff ◽  
Ž. Tuković ◽  
H. Jasak ◽  
A. Ivanković
Keyword(s):  
Finite Volume ◽  
Linear Elasticity ◽  
Unstructured Meshes

Two-grid Method for Linear Elasticity on Unstructured Meshes

1999 ◽  
Vol 21 (3) ◽  
pp. 900-923 ◽  
Author(s):  
Petr Vanek ◽  
Marian Brezina ◽  
Radek Tezaur
Keyword(s):  
Linear Elasticity ◽  
Grid Method ◽  
Unstructured Meshes

Computing cell tractions from particle displacements on silicone rubber substrata

1994 ◽  
Vol 52 ◽  
pp. 162-163
Author(s):  
Tim Oliver ◽  
Akira Ishihara ◽  
Ken Jacobsen ◽  
Micah Dembo
Keyword(s):  
Plane Stress ◽  
Linear Elasticity ◽  
Silicone Rubber ◽  
Mathematical Analysis ◽  
Elastic Recovery ◽  
Video Images ◽  
Cell Traction Forces ◽  
Latex Beads ◽  
Cell Traction ◽  
Better Than

In order to better understand the distribution of cell traction forces generated by rapidly locomoting cells, we have applied a mathematical analysis to our modified silicone rubber traction assay, based on the plane stress Green’s function of linear elasticity. To achieve this, we made crosslinked silicone rubber films into which we incorporated many more latex beads than previously possible (Figs. 1 and 6), using a modified airbrush. These films could be deformed by fish keratocytes, were virtually drift-free, and showed better than a 90% elastic recovery to micromanipulation (data not shown). Video images of cells locomoting on these films were recorded. From a pair of images representing the undisturbed and stressed states of the film, we recorded the cell’s outline and the associated displacements of bead centroids using Image-1 (Fig. 1). Next, using our own software, a mesh of quadrilaterals was plotted (Fig. 2) to represent the cell outline and to superimpose on the outline a traction density distribution. The net displacement of each bead in the film was calculated from centroid data and displayed with the mesh outline (Fig. 3).

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