The derivation of an a posteriori error estimator for frictionless contact problems under the hypotheses of linear elastic behavior and infinitesimal deformation is presented. The approximated solution of this problem is obtained by using the Finite Element Method. A Penalization or Augmented-Lagrangian technique is used to deal with the unilateral boundary condition over the contact boundary. ...

In this work we discuss a way to compute the impact of free-surface flow on nonlinear structures. The approach chosen rely on a partitioned strategy that allows to solve strongly coupled fluid-structure interaction problem. It is then possible to re-use existing and validated strategy for each sub-problem. The structure is formulated in a Lagrangian way and solved by the finite element method. ...

We present an assessment of the effect of rotational losses on an induction machine. The assessment provides an estimate of the iron losses in an induction machine by three methods, all of which rely on the output data of a two-dimensional finite-element method: 1) calculating iron losses as if they were produced by a purely alternating field; 2) calculating the iron losses by adding the losses...

We develop an Eulerian-Lagrangian iterative solution technique for accurate and efficient numerical simulation of single-phase compositional flow through three-dimensional compressible porous media in the presence of multiple injection and production wells. In the numerical simulator, an Eulerian-Lagrangian method is used to solve the convectiondiffusion transport equations and a mixed finite e...

It is well known that the conventional edge element method in solving vector Maxwell’s eigenvalue problem will lead to the presence of nonphysical zero eigenvalues. This paper uses the mixed finite element method to suppress the presence of these nonphysical zero eigenvalues for 2D vector Maxwell’s eigenvalue problem in anisotropic media. We introduce a Lagrangian multiplier to deal with the co...

In this paper, rotor bar Aluminum Loss of Squirrel Induction Motor running in steady state with full load is investigated. Multi-layered analytical model of rotor bar is employed to analyze the Aluminum loss generated by harmonic current. This model divides the rotor bar into a series of sub-layers with resistance remained constant in each sub-layer considering the skin effect. The bar loss in ...

This paper proposes a novel way to solve transient linear, and non-linear solid dynamics for compressible, nearly incompressible, incompressible material in the updated Lagrangian framework tetrahedral unstructured finite elements. It consists of mixed formulation both displacement pressure, where momentum equation continuum is complemented with pressure that handles incompresibility inherently...

In end milling, cutting forces and residual stresses need to be precisely predicted in order to improve the quality of the workpiece. Numerical simulation has however not been very successful using the Lagrangian formulation in Finite Element Analysis. This is partly because there is no satisfactory and accurate separation criterion used in the modelling procedure. The results are found to be h...