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Related lectures (30)

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Sintering Fundamentals: Basics of Solid State Grain Growth

Explores the basics of sintering, including diffusion mechanisms, control parameters, and vapor pressure effects on curved surfaces.

Curves in the Oriented Plane

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.

Nonlinear Beam Theory: Mechanics of Slender Structure

Covers strain-displacement relations, simplifications, constitutive relations, equilibrium equations, and circular rings.

Rigidity in Negative Curvature

Delves into the rigidity of negatively curved manifolds and the interplay between curvature and symmetry.

Surfaces with Variable Curvature

Explores surfaces with variable curvature, discussing their construction and properties.

Mechanics of Slender Structure: Shells III

Explores the nonlinear theory of spherical shells, including Reissner's solution and Zoelly's solution for pressure buckling.

Gothic Architecture: Surfaces and Curvature

Delves into the intricate geometry of Gothic architecture, exploring surfaces with variable and constant curvature and the historical evolution of vaults.

Surfaces with Variable Curvature

Explores surfaces with variable curvature, analyzing Gaussian and mean curvature, distinguishing convex and concave regions.

Helical Curves: Theory and Applications

Explores the theory and applications of helical curves, focusing on circular helices with various parameters.

Deformation Rules

Covers the rules for deforming composite structures and how to trace the deformation based on moment diagrams.