Congratulations to Martin Berzins and the other four University of Utah faculty members, as well as collaborators at Boston University, Rensselaer Polytechnic, Penn State, Harvard, Brown, UC-Davis, and Polytechnic U (Turin Italy) on the recently awarded $16.4M 5-year project to use high-performance computing to aid in the development of more efficient and lighter power supplies for soldiers! For more information, see the news release at http://unews.utah.edu/news_releases/the-energy-efficient-soldier/.
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Tutorial: Large deformation kinematics
Summarizes the meaning of the deformation gradient tensor, stretches, rotations, etc. Also shows how material line segments, volumes, and area vectors change in response to deformation. You may download the…
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CPDI shape functions for the Material Point Method
In a conventional MPM formulation, the shape functions on the grid are the same as in a traditional FEM solution. In the CPDI, the shape functions on the grid are…
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Research: Radial cracking as a means to infer aleatory uncertainty parameters
Aleatory uncertainty in constitutive modeling refers to the intrinsic variability in material properties caused by differences in micromorphology (e.g., grain orientation or size, microcracks, inclusions, etc.) from sample to sample….
Publication: Establishing credibility of particle methods through verification testing
ABSTRACT:
Within the particle methods community, standard benchmark tests are needed to demonstrate that the governing equations are solved correctly.Whereas the finite element method (FEM) has long-established basic verification standards (patch tests, convergence testing, etc.), no such standards have been universally adopted within the particle method community.
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Centroidal Voronoi Tesselations
The CSM lab at the University of Utah is actively developing the Material Point Method (MPM). Like other particle methods, the MPM discretizes a body into a set of points at which problem data (velocity, stress, temperature, etc.) are stored. Centroidal Voronoi Tesselation is a promising way to distribute points within a domain in a way that is favorable to the MPM, where using a distribution of particles conforming to the boundary is highly desired. For a thorough overview, see Max Gunzburger’s website, http://people.sc.fsu.edu/~mgunzburger/cvt/cvt.html. Some excerpts from his site are shown below,
Tutorial: A beginner’s introduction to the Material Point Method (MPM)
The PowerPoint presentation,
000000_BRANNON_BeginnersIntroToMPM_revision100624,
describes the basic principles and application advantages of the material point method (MPM).
To follow this tutorial, you need to know basic equations for the finite-element method.
Handwritten notes on Vibrations
VibrationsHandNotes is a set of handwritten notes taken by Dr. Brannon when she was a student.
Aldridge spherical source verification test for dynamic continuum codes
This post has the following aims:
- Provide documentation and source code for a spherically symmetric wave propagation in a linear-elastic medium.
- Tell a story illustrating how this simple verification problem helped to validate a complicated rate-dependent and history-dependent geomechanics model.
- Warn against believing previously reported material parameters, since they might have been the result of constitutive parameter tweaking to compensate for unrelated errors in the host code.
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Publication: A model for statistical variation of fracture properties in a continuum mechanics code
NEWS FLASH: The print version of the Meyer-Brannon paper on statistical variation of fracture patterns in a continuum code (CTH) is now available at http://dx.doi.org/10.1016/j.ijimpeng.2010.09.007.
Current opportunities for graduate students
We currently have openings for two PhD students in the CSM group:
PhD Student Opening#1: Research opportunites exist in the general area of computational mechanics with emphasis on development of advanced methods (expecially particle methods) for solving large-deformation high-rate problems in mechanics.
PhD Student Opening#2: Research opportunites exist in the general area of computational and theoretical constitutive modeling, with emphasis on large deformation inelasticity, failure, fracture, induced anisotropy, etc. Applications would include hierarchical upscaling (i.e., inferring macroscale properties from microscale simulations).
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Current postdoc openings in the CSM group
We currently have one opening for a postdoc in the CSM group:







