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This lecture covers topics related to continuum mechanics, including reference and deformed configurations, deformation gradient, energy density function, elastic energy, strain, stress, linear elasticity, hyperelastic materials, St. Venant-Kirchhoff model, Corotated linear elasticity, Neo-Hookean model, force balance in 3D solids, Lamé parameters, equilibrium conditions, isotropic linear elasticity, surface traction, force balance, divergence of a vector field, divergence theorem, finite element discretization, energy minimization, Newton's method, conjugate gradients, iterative linear systems solver, gradient descent, conjugacy, conjugate direction method, conjugate gradient method, line search Newton-CG method, and outlook on implementing Newton CG for elastic equilibrium solve.
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