M.Sc. in Civil and Structural Engineering:3rd Semester and Master’s Thesis Ideas 2010

The following pages contain a list of project ideas proposed by the scientific staff at the department of Civil Engineering, Aalborg University, and a number of companies. Most of the project ideas in this catalouge may form the basis for long and short candidate projects as well as regular 3rd semester projects at the M.Sc. programme in Civil and Structural Engineering.The following pages contain a list of project ideas proposed by the scientific staff at the department of Civil Engineering, Aalborg University, and a number of companies. Most of the project ideas in this catalouge may form the basis for long and short candidate projects as well as regular 3rd semester projects at the M.Sc. programme in Civil and Structural Engineering

Existence and Uniqueness of Solutions in Nonassociated Mohr-coulomb Elastoplasticity:<strong/>

In 1902 Jacques Hadamard [1] formulated three conditions that mathematical models of physical phenomena should satisfy, namely that: (a) A solution exists (b) The solution is unique (c) The solution depends continuously on the problem data Problems involving models that satisfy all of these conditions are termed well-posed. Otherwise, if one or more conditions are violated, the problem is said to be ill-posed. The meaning of condition (a) is quite clear. Conditions (b) and (c) are often intimately linked and can for many practical purposes be coalesced into a single condition. In finite element analysis “non-unique ” solutions are often generated by altering the problem data slightly, for example through introduction of random imperfections. It is relatively well known (though not always appreciated to its full extent) that standard elastoplastic constitutive models may violate conditions (b) and (c) if the flow rule is not associated. Indeed, since the pioneering work of Rice [2], the ensuing ill