Calculus of Variation and Euler's Elastica

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Mechanics of Slender Structure: Naturally Curly Hair in 3D

Delves into the mechanics of slender structures using naturally curly hair in 3D as an example.

Mechanics of Slender Structures: Elasticity & Buckling

Explores 3D elasticity, beam bending, and buckling phenomena in slender structures.

Numerical Methods: Stopping Criteria, SciPy, and Matplotlib

Discusses numerical methods, focusing on stopping criteria, SciPy for optimization, and data visualization with Matplotlib.

Numerical Methods: ODE RK Schemes

Covers ODE RK schemes, including explicit RK stages and accuracy computation.

Euler-Lagrange Equation: Convexity and Saddle Point Problems

Explores the Euler-Lagrange equation, convexity, and saddle point problems in variational calculus.

Optimization: Lagrange Multipliers

Covers the method of Lagrange multipliers to find extrema subject to constraints.

Nonlinear Geometric Transformation: Analysis and Approximations

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Introduction to Structural Mechanics

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Finite Elements: Elasticity and Variational Formulation

Explores finite element methods for elasticity problems and variational formulations, emphasizing admissible deformations and numerical implementations.