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Explores deformation and strain tensors, Lagrange representation, elasticity theory, and the divergence theorem.

Examines the relationship between different ductilities in seismic engineering, highlighting their significance in structural elements.

Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.

Discusses stresses in beams under flexure, including shear forces and bending moments.

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

Covers the mechanics of slender structures, focusing on nonlinear curved beams.

Covers strain-displacement relations, equilibrium equations, and energy functional in nonlinear beam theory with small strain and moderate rotation.

Covers the theory of nonlinear curved beams, discussing inextensible strains, finite rotations, and the exact inextensionable theory.

Covers stress-strain relations, constitutive relations, and buckling of a circular ring in nonlinear beam theory.

Explores Gaussian curvature, principal curvatures, and nonlinear strain in thin elastic plates.

Explores the theory of finite strain and rotation in Kirchhoff rods, covering inextensible strains, finite rotations, and equilibrium.

Covers the mechanics of slender structures, focusing on exact kinematics and equilibrium equations of rods.

Explores the moment-curvature relation for beams, emphasizing stress distribution and typical boundary conditions.

Covers 3D linear elasticity, stress, strain, beams' behavior under loads, and torsion.

Covers the framework for plates, bending and stretching energies, and Föppl-von Kármán Equations, exploring mean and Gaussian curvatures.

Covers kinematics and deformation in continuum mechanics, focusing on displacement vectors and the deformation gradient tensor.

Explains the geometric interpretation of eigen vectors and values in material deformation.

Explores the theory of plates, including bending and stretching energies, and the Föppl-von Kármán Equations.

Covers stiffness, strength, strain, stress, and strain measurement in structural mechanics.

Covers deformation, strain, stress, and wrinkling in plates under pure bending, exploring applications and bending stiffness.