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--- gallery:cooksmembrane [2014/01/22 15:52] – created nitramkaroh
+++ gallery:cooksmembrane [2014/01/23 19:17] (current) – nitramkaroh
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-===== 2D Finite Element Analysis OF Aggregate Influence On Mechanical Properties Of Mortar Samples =====
+===== Simulation of Cook's membrane using enhanced elements =====
+Here, we demonstrate the performance of the enhanced assumed strain element Q1E4 using beam clamped on one end and subjected to a load on the free end. This problem is commonly referred as Cook's membrane.
+The material is taken as a nearly incompressible.
-The simulations were focused on the investigation of aggregate shape and size influence on the bending strength evaluated from three-point bending tests, and fracture-mechanical properties evaluated from a series of splitting tests. The geometry of tested specimens is described in Figure below:
+Firstly, we consider linear elasticity with $E = 250$ and $\nu = 0.4999$
-| {{:gallery:geometries.jpg?700}} |
-| Geometry of tested specimens.|
-The conforming triangular finite element mesh was generated employing the capacities of the ANSYS software. The mesh density, which is coarse near supports in case three-point bending test and significantly finer in the expected crack location. The plane-stress numerical simulations were carried out in the OOFEM finite element code. An isotropic damage model
+{{:gallery:cooksmembranegeometry.png?200|}}
-with linear softening was assumed for the matrix phase, while the aggregates were modeled as isotropic elastic.
+| Geometry and loading of Cook's membrane|
-| {{:gallery:crackPropagation.jpg?700}} |
+!!!!!!!!!!!!!!!!!!!!!!!!!!!!Results are coming soon!!!!!!!!!!!!!!!!!!!!!!!!!!
-| Detail of FE mesh and crack pattern.|
-Six random distributions of a single aggregate shape and size were generated in order to obtain reliable data. The results were averaged within the individual configurations, providing a smooth force-displacement diagram.
-| {{:gallery:averagedDiagrams.jpg?700}} |
+Secondly, we use large strain model
-| Averaging of individual simulations within single configuration.|
-The stress concentrations due to presence of angular particles resulted in a lower resistance of the specimens in three-point bending tests, which was even more pronounced in case of beams containing coarse particles. The opposite trends were observed in splitting simulations (see Figure 4b), where the coarse angular aggregates contributed to higher fracture energy of the mortar, while the round aggregates enabled relatively easy crack propagation through the specimens.
+!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Under construction!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
-You can download the snippet with OOFEM input file here: {{:gallery:splittingTest.zip|}}
-//Created 3/2012 by Václav Nežerka. Acknowledgements belong also to Jan Zeman and Jan Vorel.//
+You can download the mesh generator for Cook's membrane written in Matlab here: {{:gallery:meshgeneratorcooksmembrane.zip|}}
+//Created 1/2014 by Martin Horák