Viscoelastic materials have the capacity to both store and dissipate energy. As a result, properly describing their mechanical behavior lies outside the scope of both solid mechanics and fluid mechanics. This course will develop constitutive relations and strategies for solving boundary value problems in linear viscoelastic materials. In addition, the closely-related biphasic theory for fluid-filled porous solids will be introduced. An emphasis will be placed on applications to cartilage, tendon, ligament, muscle, blood vessels, and other biological tissues. Advanced topics including non-linear viscoelasticity, composite viscoelasticity and physical mechanisms of viscoelasticity will be surveyed.
Definition and pursuit of "quality" as a design criterion. The concept of robust design. Selection of the quality characteristic, incorporation of noise, and experimental design to improve robustness. Analysis and interpretation of results.
The mechanical design and analysis of optical components and systems will be studied. Topics will include kinematic mounting of optical elements, the analysis of adhesive bonds, and the influence of environmental effects such as gravity, temperature, and vibration on the performance of optical systems. Additional topics include analysis of adaptive optics, the design of lightweight mirrors, thermo-optic and stress-optic (stress birefringence) effects. Emphasis will be placed on integrated analysis which includes the data transfer between optical design codes and mechanical FEA codes. A term project is required for ME 432.
Vlasov equation, Landau damping. VanKampen modes, two-stream instability, micro-instabilities, introduction to kinetic theory, shield clouds, Thomson scattering, and the Fokker-Planck equation.
Kinematics, equations of motion; thermodynamics of gases; linear acoustics; Bernoulli equation; potential flow; steady one-dimensional flow; shock waves, normal and oblique shocks; unsteady one-dimensional flow, characteristics. Applications in engineering and astrophysics.
Course Description: The mechanics of continuous media. The basic notations and concepts in applied mechanics will be covered. These concepts are the foundation for both solid and fluid mechanics and applications in both of these areas will be used as examples. The course will include 1) indicial notation and tensor analysis, 2) concepts of stress, 3) both Eulerian and Lagrangian descriptions of deformation and strain, 4) conservation of mass, momentum, energy, and 5) constitutive equations to describe material response.
Analysis of stress and strain; equilibrium; compatibility; elastic stress-strain relations; material symmetries. Torsion and bending of bars. Plane stress and plane strain; stress functions. Applications to half-plane and half-space problems; wedges; notches. 3-D problems via potentials.
The theory and application of nonlinear FE methods in solid and structural mechanics, and biomechanics. Topics: review and generalization of linear FE concepts, review of solid mechanics, nonlinear incremental analysis, FE formulations for large displacements and large strains, nonlinear constitutive relations, incompressibility and contact conditions, hyperelastic materials, damage plasticity formulation, solution methods, explicit dynamic formulation.
A scientific approach to understanding the oxidation and dissolution of metals related to corrosion control, electrical energy generation, metallic plating, and energy storage. Characterization of corrosion types. Interfacial electrochemical mechanisms, thermodynamics, electrode potentials, interphases, and Pourbaix diagrams. Kinetics of free corrosion and electron limited corrosion including polarizations and overpotentials. Passivity. Tafel behavior with Butler-Volmer interpretations. Experimental measurements used in corrosion research and in battery research. Corrosion in iron based and aluminum based aqueous systems. Corrosion in lithium and sodium based non-aqueous systems. Effects of stress, including mechanisms of stress corrosion cracking related to metallurgical structure and role of the electrical double layer. Catalytic behavior of free surface nanostructures intended to catalyze oxygen reactions and ease barriers to metallic plating and ionic dissolution at polar electrolyte interfaces.
Breakeven conditions for inertial confinement fusion. The coronal plasma. Inverse bremsstrahlung absorption. Resonance absorption. Parametric instabilities. Nonlinear plasma waves. Zakharov equations and collapse.