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Introduction to phase field fracture

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Continuum thermodynamics, thermoelasticity

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Advection-diffusion equation, material derivative

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Stress measures and hyperelasticity

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Euler buckling, eigenvalue buckling, linearized buckling

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Galerkin projection, weak forms, UQ, comparison of methods

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Methods in dynamics, adaptive basis

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Static and dynamic inverse problems, design optimization

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Hamilton's principle, catenary, Helmholtz equation

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Homogenization for a few different equations

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Hertzian contact mechanics

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Neural network basis, nonlinear material, arc length method

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Rotations, fractional derivatives, pre-stress, weird torsion

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Brief study of statistical mechanics

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Fracture mechanics literature review and history

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Collocation, Fourier transforms, boundary element method

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Information bottleneck theory

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Hamiltonian mechanics, Liouville equation

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Green's functions and linear algebra

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