After completing this course, the student should be able to:

1. Learn the foundations of mechanics of large deformations in solids and non-Newtonian flow of fluids
2. Learn the foundations in mechanics for developing structure-property relations in anisotropic bulk polymers
3. Learn phenomenological continuum constitutive models in polymer fluids and solids
4. Learn the distinctions between polymers and small molecular materials in critical mechanical phenomena (yield, fracture, fatigue, etc.)

1. Analysis of stresses in a medium
2. Analysis of deformation in a medium
1. finite strain
2. small strain
3. Linear and non-linear elasticity

• Constitutive relations for large elastic deformations; strain energy function and its relationship to stress tensor for large deformations; Relationships between continuum and molecular models of rubber elasticity

• Covering operations for material symmetry; common symmetries in polymeric materials

• Consequences of local and global symmetries in polymer morphology

• Classical theories of yielding; Hills yield criterion; brittle and ductile failures in polymers; molecular theories of yielding and cold drawing

• Classical theories of fracture; critical strain energy release rates in polymer fracture; crazing in polymers; molecular theories of fracture in polymers

• Static and dynamic fatigue in polymers; empirical formulations; rate theories

• Introduction to viscous Newtonian and non-Newtonian fluids

• The concept of simple fluids; viscometric flows of simple fluids

• Experimental aspects of viscometric functions; flow phenomena on viscoelastic polymer fluids

• Ellis, power-law and other models; determination of shear viscosity function through capillary flow

• Simple and generalized Maxwell fluids; frame invariance requirements for costitutive equations

• Maxwell-Oldroyd and Maxwell-Jaumann fluids; various modifications

• Constitutive equations vis-a-vis dimensionless groups; applications to non-Newtonian viscous and viscoelastic fluids