Biomechanical Tissues: Non-linear Constitutive Laws

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Explores waves in inhomogeneous media, covering initial and boundary conditions, numerical stability, eigen modes, and propagation principles.

Explores boundary value problems, finite difference method, and Joule heating examples in 1D.

Introduces finite element modeling for numerical solutions to complex problems.

Covers finite element methods for solving diffusion problems in porous media, including meshing, interpolation, and weighted residuals.

Explores the explicit 2-level scheme for advection-diffusion and the convergence of digital solutions.

Explores Finite Element Modeling in Structural Mechanics, covering convergence, nonlinear displacement, and scaling laws in micro and nanosystems.

Discusses mapping local to global coordinates in finite element analysis and the importance of vertex numbering.

Covers the equations of linear elasticity for static problems with small strain, emphasizing uniqueness of solutions and Navier's Equations.

Covers the renumbering of stencil points and the impact of boundary corrections on the linear system matrix.