This course will employ and apply computational techniques to investigate and analyze the behavior of soft tissue mechanics. It is structured around classical topics in mechanics of materials and their application to the study of the properties of biological tissues. It will discuss the mechanical behavior of soft tissues (e.g., anisotropy, viscoelasticity) with emphasis on the role of their microstructure. In particular, it will introduce students to the tissue microstructure and ingredients, tensor calculations, kinematics, balance laws, elasticity, viscoelasticity, and poroelasticity.
This fundamental course provides students with the mathematical tools required to formulate and analyze the state of stress/strain in a deformable body. In particular, we discuss the following topics: basics of tensor calculus, field equations (strain-displacement, compatibility, equilibrium, and constitutive relation), solution of plane elastostatics problems in Cartesian and polar coordinates, potential function formulation, introduction to 3D problems.
This course deals with the analysis of the mechanical response of materials when subjected to finite deformation. Here we generalize the small deformation theory (as discussed in Theory of Elasticity) and derive finite deformation theories. Specifically, we learn about the following topics: principles governing the mechanics of continua, kinematics of deformation, including the Lagrangian and Eulerian descriptions, development of stress and strain tensors, conservation principles to derive field equations describing solid and fluid mechanics, and sample problems in linear elasticity and viscous fluid flow.
This course teaches students advanced numerical and analytic methods required for analysis of composite materials. We initially learn about composite materials in terms of their properties, classification, manufacturing, etc. Then we discuss micromechanics of composite lamina, macromechanics of composite lamina, strength of composite lamina, and the elastic behavior of laminated composites.
The course builds upon the background developed in Statics and Strength of Materials. The major skills that students learn after completion of this course are to analyze stress and strain in a multi-element structure, to analyze non-symmetrical beam sections, a preliminary understanding of multi-cell torsional effects, to Understand the effects of curved beams on stresses and strain, to analyze statically indeterminate structures, and to evaluate beams for buckling loads, to Understand different failure theories, to understand the effects of fatigue on performance of beam elements, and to solve intermediate open-ended mechanical design problems.
This course is combination of theory and hands-on laboratory sessions. In this course, we discuss basic concepts of measurement, static and periodic signal analysis, discrete and continuous Fourier transforms, Nth-order system behavior modelling, transfer functions, probabilistic and statistical methods, uncertainty analysis, analog and digital devices, signal conditioning methods, DAQs, temperature, pressure, velocity, flow, and strain measurement methods.
This course discusses the mechanical behavior of solids under deformation from external loads. In particular, it mainly focuses on the fundamental theories from complex bending and torsion, energy methods in design, theories of failure, and an introduction to numerical analysis. Several examples will be presented to illustrate isotropic and anisotropic material behavior.