Projects
Final Projects:
The course will end with a final project involving either the application or the development of the finite element method to a problem of your choosing.
Preliminary Project Proposals: will be due Nov 22. The proposals should specify the problem you will solve in sufficient detail to leave only coding/analysis to be completed. This means you must specify
- The governing equations that will be solved (constitutive model, and/or field equations)
- The numerical approach to solving the equations (discretization in time/space).
- The boundary / initial value problems that will be solved - specify boundary conditions; what will be computed/plotted; ranges of property values that will be considered; and discuss dimensional analysis of the problem to be solved (what are the relevant dimensionless groups that determine the solutions?)
Final Projects will be due December 15.
Extensions on project deadlines are permitted, but if more than two deadlines are missed during the course of the semester it will reduce your final grade.
Project suggestions:
FEA coding based projects
- Implement one of the elements that were discussed in class but which were not coded in a homework assignment (eg hybrid elements, or a finite strain B-bar elements)
- Extend the Cahn-Hilliard diffusion problem solved in HW8 to consider plastic deformation, and add boundary conditions that will allow you to prescribe fluxes on exterior boundaries. You could use your code to simulate Li insertion and diffusion in a plastically deforming Li-ion battery electrode.
- Extend the continuum beam element implemented in HW9 to finite deformations
- Implement a 3D membrane, beam, plate or shell element in EN234FEA or as an ABAQUS UEL (will require independent research to learn how to handle beams, plates and shells)
- Implement a 2D grain boundary diffusion element as an ABAQUS UEL or in EN234FEA using the procedure described in this reference
- Implement an advanced material model - eg viscoelasticity; finite strain viscoelasticity, crystal plasticity (hard) as a UMAT or VUMAT
FEA Analysis based projects
- Set up an FEA model of a 'Galilean Cannon' (we have one- you could compare you predictions with high-speed video, although our cameras are only capable of 1200 fps which may not be sufficient). You could try using ABAQUS to optimize the design (see also this demo from an old Colbert show)
- Solve a boundary value problem relevant to your research
- Design a set of boundary value problems intended to test the capabilities of the ABAQUS element library
Final Projects 2017:
- Aravind Anchala Finite Element Method for Simulating Micro-structure ofpolycrystals during plastic deformation
- Wesley Cai: Phase separation in Li-ion electrode materials
- Nicholas DeNardo: B-bar hyperelasticity element
- Divya Janganathan: MATLAB code for analyzing deformation in compliant vessel walls
- Yoojin Kim: Simulating the mechanical behavior
- Dong Li: Hyperelastic Material Collision —Galilean Cannon
- Yi Liu: The behavior of shear band under impact
- Sijun Niu: B-bar hyperelasticity element
- Xuliang Qian: Viscoelasticityin soft biological tissues
- Harkirat Singh: Thermoelastic Coupling: A simple Problem
- Siyuan Song Sound Propagation in Porous Media
- Karthik Thallappulli: Generalized Framework for solving 2D FEM problems
- Anastasia Tzoumaka: Computational rate independent Single Crystal Plasticity with finite deformations
- Enrui Zhang Optimization ofMechanical Isotropy of Soft Network Material
Final Projects 2015:
- Ryan Carlson: Simulation Development of an English Long Bow and Arrow System
- Weilin Deng: Simulation of adhesive contact with molecular potential
- Zehan Deng: Implementation of Material Distribution for Steel Sheet with Heterogeneity
- Wenqiang Fang: Three-dimentional Timoshenko beam element undergoing axial, torsional and bending deformations
- Hanxung Jin: Simulating the Plasticity Behavior of Nanocrystalline Cu Using ABAQUS UMAT Subroutine
- Alexander Landauer: Creasing Critical Strain Dependence on Surface Defect Geometry
- Shihong Li
- Xiuqi Li Implement of Augmented Lagrangian Hybrid element
- Zhi Li: Continuum-Based Beam Element
- Yu Liu: User Elements for 3D Cohesive zones Model
- Yue Liu: Viscoelasticity
- Brennan MacInnes: 3D Beam element
- Pinkesh Malhotra: Finite Strain Elastic-Viscoplastic Model
- Kyle Meyer: Buckling of blood vessels
- Chiraag Nataraj: Finite strain viscoelasticity
- Alexia Stylianou: Viscoelasticity in ABAQUS
- Yuhao Wang: ABAQUS UEL for Augmented Lagrangian Hybrid Element
Final Projects 2013:
- Insun Yoon: Computation of Membrane deflection
- Manoj Chinnakonda: Simulating Cardiac Electromechanics using an ABAQUS UEL
- Alireza Khorshidi: Finite Element Analysis of a Timoshenko Beam
- Vijaykumar Kaushik: Finite Element simulations of a phase-field model for mode-III fracture.
- Ting Yang: Plane element implementation
- Lin Zhang: Implementation of a beam element in finite element analysis
- Mohak Patel: Indentation Simulation
- Dan Gerbig: Measuring the Properties of Hyperelastic Materials
- Daren Liu: Hourglassing
- Mike Jandron: A Steady-State Dynamics, Direct Procedure for a Bar with Bloch-Floquet Periodicity
- Daniel Keenan: Elastic Waves (word file - images don't work properly)
- Max Monn - implementation of an Euler-Bernoulli beam element
- Justin Morse - the effects of shear modulus and density on acceleration at the center of gravity of a simplified human head model due to impact
- Odysseas Skartsis - LEFM convergence study