I am the primary organizer and developing this course. The course is presently offered to students from collaborative research groups. The course includes introduction to variational methods, structure of FEA programs, numerical integrations, material modeling, solvers. This course is meant to help students comprehend the inner workings of a Nonlinear FEA program. Over the course of 12-weeks, the students connect theory with implementation to develop a Nonlinear FEA program in C++ from scratch to use it for their research problem.
The course is broadcasted online and being presently attended by students of collaboration partners from Leibniz Universität Hannover, Lappeenranta University of Technology, University of Sao Paulo and IIT Hyderabad.
I helped organize Laboratory sessions for the course. This course included introduction to the use of numerical methods in the solution of solid mechanics and multiscale mechanics problems. First term: Variational principles. Finite element analysis. Variational problems in linear and finite kinematics. Time integration, initial boundary value problems. Elasticity and inelasticity. Constitutive modeling. Error estimation. Accuracy, stability and convergence. Iterative solution methods. Adaptive strategies.
This constitutes together the courses: (a) Statics (b) Dynamics (c) Mechanics of Materials. An introduction to statics and dynamics of rigid bodies, deformable bodies, and fluids. Equilibrium of force systems, principle of virtual work, distributed force systems, friction, static analysis of rigid and deformable structures, hydrostatics, kinematics, particle dynamics, rigid-body dynamics, Euler’s equations, ideal flow, vorticity, viscous stresses in fluids, dynamics of deformable systems, waves in fluids and solids.
Covers the relationship between stress and strain on deformable solids. Applies analysis to members subjected to axial, bending, and torsional loads. Covers combined stresses and properties of structural materials.