ADVNCD CONTINUUM BIOMECHANICS
The essentials of finite deformation theory of solids and fluids needed to describe mechanical behavior of biological tissue: kinematics of finite deformations, balance laws, principle of material objectivity, theory of constitutive equations, concept of simple solids and simple fluids, approximate constitutive equations, some boundary-value problems. Topics include one- and two-point tensor components with respect to generalized coordinates; finite deformation tensors, such as right and left Cauchy-Green tensors; rate of deformation tensors, such as Rivlin-Ericksen tensors; various forms of objective time derivatives, such as corotational and convected derivatives of tensors; viscometric flows of simple fluids; examples of rate and integral type of constitutive equations
Topics
- one- and two-point tensor components with respect to generalized coordinates
- finite deformation tensors
- such as right and left Cauchy-Green tensors
- rate of deformation tensors
- such as Rivlin-Ericksen tensors
- various forms of objective time derivatives
- such as corotational and convected derivatives of tensors
- viscometric flows of simple fluids
- examples of rate and integral type of constitutive equations
Topics explicitly listed in official catalogue description
Prerequisites & course information
Prerequisites: Instructor’s permission.
Sources
- Course catalogue ↗2026-2027