An Introduction to Continuum Mechanics

Class notes 2018
sect-01 [2.1M] -Positions, shapes and deformations
sect-02 [1.8M] -Rigid deformations
sect-03 [2.1M] -Affine deformations
sect-04 [1.7M] -Volume function and determinant of a tensor
sect-05 [2.0M] -Deformation gradient
sect-06 [3.1M] -Velocity gradient
sect-07 [1.2M] -Rigid motion velocity gradient
sect-08 [1.3M] -Affine motion velocity gradient
sect-09 [1.4M] -Tensor product and scalar product of tensors
sect-10 [1.0M] -Scalar product properties
sect-11 [2.0M] -Force distributions
sect-12 [1.8M] -Moment tensor
sect-13 [2.1M] -Balance laws, Cauchy stress and objectivity
sect-14 [1.8M] -Piola stress and cofactor
sect-15 [1.8M] -Cauchy continuum
sect-16 [1.8M] -Material response and strain energy
sect-17 [1.7M] -Isotropic hyperelastic material
sect-18 [1.8M] -Energy imbalance and dissipation
sect-19 [1.8M] -Incompressibility and inner pressure
sect-20 [1.6M] -Spatial fields and Navier-Stokes equation
sect-21 [3.0M] -Uniaxial deformation of an elastic material
sect-22 [3.3M] -Uniaxial deformation of a viscoelastic material
sect-23 [1.9M] -Uniaxial stretch and rotation
sect-24 [2.7M] -Shear deformation
sect-25 [2.0M] -Biaxial deformation
sect-26 [3.2M] -Almost incompressible material
sect-27 [3.6M] -Linear elasticity
sect-28 [2.0M] -Species diffusion
sect-29 [0.9M] -Energy imbalance and Fick's law
sect-30 [2.0M] -Free energy and deformation gradient decomposition
sect-31 [0.7M] -Spinodal decomposition (phase segregation)

Class notes 2016
sect-01 [7.9M] -Positions, shapes and deformations
sect-02 [6.6M] -Deformation gradient
sect-03 [7.8M] -Test velocity fields and force distributions
sect-04 [6.6M] -Balance laws for an affine body
sect-05 [4.2M] -Balance laws for contiguous affine bodies
sect-06 [5.5M] -Material objectivity
sect-07 [2.4M] -Elastic response and material symmetry
sect-08 [5.6M] -Incompressible material
sect-09 [4.8M] -Biaxial and shear deformations
sect-10 [3.4M] -Compressible material response
sect-11 [2.6M] -External dissipation and stability
sect-12 [2.3M] -Energy imbalance and dissipation
sect-13 [3.4M] -Displacement field
sect-14 [3.4M] -Linear Elasticity
sect-15 [5.3M] -Diffusion of atoms in an elastic material
sect-16 [5.1M] -Heat diffusion in an elastic material
Appendix [1.0M] -Lithium ion battery model (slides)

Class notes 2015
diff-01 [6.0M] -Lithium ion battery model (and more)

Class notes 2014
(01-06) week-01 [2.6M] -Positions, shapes and deformations
(07-12) week-02 [3.6M] -Deformation gradient definition
(13-18) week-03 [4.4M] -Deformation gradient characterization
(19-24) week-04 [2.3M] -Velocity field; acceleration field
(25-30) week-05 [2.8M] -Force distributions for rigid bodies
(31-36) week-06 [3.8M] -Force, Moment tensor and Stress
(37-42) week-07 [3.8M] -Material response; objectivity; stress tensor
(43-48) week-08 [3.8M] -Strain energy; incompressible materials
(49-50) week-09 [0.5M] -Summary
(51-56) week-10 [4.4M] -Newtonian fluids; kinetic energy
(57-62) week-11 [3.2M] -Hyperelastic response
(63-68) week-12 [3.2M] -Dissipation and viscosity
(69-74) week-13 [5.0M] -Inertial forces and free oscillations
(75-80) week-14 [4.5M] -Linear Elasticity
(81-84) week-15 [3.0M] -Growth and remodeling
(85-88) week-16 [5.3M] -Remodeling force and dissipation
All in a single booklet [55M]

Class notes 2014 supplementary material
visco-ela.nb-(04.1).pdf
visco-ela.nb-(04.1).tar.gz
damped-osc.nb-(04.1).pdf
damped-osc.nb-(04.1).tar.gz

Class notes 2011
cover [84K]
notes taken by Chiara Mastrodicasa [7.7M]