Continuum Mechanics
- •Math preliminaries:
PART I Matrix algebra, Vectors & Cartesian Tensors
- •Math preliminaries:
PART IIMatrix algebra, Vectors & Cartesian Tensors
- Coordinate Transformation, Dyadic product
- Isotropic tensors, Tensor products, Tensor Invariants, Deviotroic Tensors, Contraction
- •Kinematics: Displacement, Velocity & Acceleration, Time rates of change, Steady motion, Particle change and streamlines
- Stress tensors
Surface traction, Component of stress , Equations of equilibrium
- Stress tensors
Principal axes of stresses & invariants, Stress deviator tensor
- Motions & Deformations:
Rigid body motion, Deformation gradient tensor & strain tensors
- Motions & Deformations:
Infinitesimal strain & rotation, Velocity gradient & spin tensors
- Conservation laws:
Conservation of mass, linear & angular momentum, energy, principle of virtual work
- Linear constitutive equations:
Material symmetry,
- Linear constitutive equations:
linear elasticity, Newtonian viscous fluid, Linear viscoelasticity, work
- Theory of finite elastic deformation
- Principal stretches, Strain invariants, Piola-Kirchhoff stress tensor
- Nonlinear constitutive equations:
nonlinear viscous fluid, nonlinear viscoelasticity, plasticity
- Cuvilinear coordinate systems, cylinderical and spherical coordinate systems