MAT7105 Continuum Mechanics

The course is intended to introduce students to the mathematical foundations of continuum mechanics as it applies to both fluid and solid mechanics. Continuum models have wide applications in describing the dynamics of many fluid and solid materials. Such models involve appropriate kinematic quantities (vectors, tensors, etc) to quantify deformation of materials relative to some reference frame/state. Balance principles are also discussed as well as the general theory of constitutive equations as applied to elastic, hyper-elastic, visco-elastic and fluid continua.

Course Objectives

• By the end of the course, students will be able to apply basic principles to specific situations involving solid and fluid mechanics in real-time problem-solving approaches.

Learning Outcomes
The course imparts practical skills to enable graduates of the program to analyze fluid dynamics of a continuum nature and also to prepare graduates for more advanced study in the area of fluid mechanics.  After successful completion of the course, students will be able to:

• formulate problems and reduce vague questions and ideas to precise mathematical statements based on continuum theory
• reduce these ideas to differential equations and boundary conditions
• explain the fundamental principles that underline such differential equations and boundary conditions