Jun 15, 2024  
Graduate Record 2017-2018 
Graduate Record 2017-2018 [ARCHIVED RECORD]

APMA 6130 - Mathematical Foundations of Continuum Mechanics

Describes the mathematical foundations of continuum mechanics from a unified viewpoint. Review of relevant concepts from linear algebra, vector calculus, and Cartesian tensors; kinematics of finite deformations and motions; finite strain measures; linearization; concept of stress; conservation laws of mechanics and equations of motion and equilibrium; constitutive theory; constitutive laws for nonlinear elasticity; generalized Hooke’s law for a linearly elastic solid; constitutive laws for Newtonian and non-Newtonian fluids; basic problems of continuum mechanics as boundary-value problems for partial differential equations. Cross-listed as AM 6130. Prerequisite: Linear Algebra, Vector Calculus, Elementary PDE (may be taken concurrently).

Credits: 3