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2-3: Nonlinear Finite Elements in 1-D (Lagrangian vs. Eulerian Meshes)
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Introduces the idea of Lagrangian vs. Eulerian coordinates and then moves to discussing the implications of Lagrangian vs. Eulerian meshes. Highlights the advantages and disadvantage of each mesh type and includes comments about why solid mechanics problems typically use Lagrangian meshes while fluids problems typically use Eulerian meshes.
2-3: Nonlinear Finite Elements in 1-D (Lagrangian vs. Eulerian Meshes)
3-2: Nonlinear Finite Elements in 3-D (Total Lagrangian Formulation)
2-5c: Nonlinear Finite Elements in 1-D (Total Lagrangian Formulation - Constitutive Law)
2-6: Nonlinear Finite Elements in 1-D (Element and Global Vectors and Matrices)
2-2: Nonlinear Finite Elements in 1-D (Newton's Method for Systems of Equations)
2-5e: Nonlinear Finite Elements in 1-D (Total Lagrangian Formulation - Weak Form)
3-1g: Nonlinear Finite Elements in 3-D (Continuum Stresses - Stress Measures)
Finite Element: Nonlinear Procedures
2-7: Nonlinear Finite Elements in 1-D (Solution Methods - Explicit Central Difference)
2-0: Nonlinear Finite Elements in 1-D (Overview)
2-8c: Nonlinear Finite Elements in 1-D (Updated Lagrangian - Mesh Distortion)
3-3: Nonlinear Finite Elements in 3-D (Updated Lagrangian Formulation)
Understanding the Finite Element Method
2-4: Nonlinear Finite Elements in 1-D (Total Lagrangian vs. Updated Lagrangian)
2-8a: Nonlinear Finite Elements in 1-D (Updated Lagrangian - Governing Equations)
2-5d: Nonlinear Finite Elements in 1-D (Total Lagrangian Formulation - Boundary & Initial Cond.)
2-5f: Nonlinear Finite Elements in 1-D (Total Lagrangian Formulation - FE Discretization)
2-8b: Nonlinear Finite Elements in 1-D (Updated Lagrangian - Weak Form and FE Discretization)
2-5b: Nonlinear Finite Elements in 1-D (Total Lagrangian Formulation - Conservation Equations)
3-1h: Nonlinear Finite Elements in 3-D (Continuum Stresses - Example)
2-1: Nonlinear Finite Elements in 1-D (Newton's Method in 1-D)
3-1e: Nonlinear Finite Elements in 3-D (Continuum Kinematics - Rate of Deformation/Velocity Strain)
Finite element method - Gilbert Strang
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