This lecture aims at introducing the fundamentals of the finite element method (FEM) and its application in solving various problems closely relevant to material sciences, e.g., the elastic fields and driving force of different types of defects in an arbitrary domain, surface/interface elasticity, and chemomechanical problems. The open-source FE package MOOSE will be introduced and utilized for FE simulations.

The outline of the course is as follows:

• Basis of Finite Element Methods
• Elastic fields of point defects: theory, FE implementation and application
• Elastic fields of dislocations: theory, FE implementation and application
• Elastic fields of cracks: theory, FE implementation and application
• Elastic fields of pores and inclusions: theory, FE implementation and application
• Configurational forces on defects: theory, FE implementation and application
• Surface/interface elasticity: theory, FE implementation and application
• Chemomechanicsal problems: theory, FE implementation and application

Teacher: Dr. Xianglong Peng