Survey on Semi-Explicit Time Integration of Eddy Current Problems

Explicit Time Integration of Transient Eddy Current Problems

For time integration of transient eddy current problems commonly implicit time integration methods are used, where in every time step one or several nonlinear systems of equations have to be linearized with the Newton-Raphson method due to ferromagnetic materials involved. In this paper, a generalized Schur-complement is applied to the magnetic vector potential formulation, which converts a dif...

An Efficient Implementation of Phase Field Method with Explicit Time Integration

The phase field method integrates the Griffith theory and damage mechanics approach to predict crack initiation, propagation, and branching within one framework. No crack tracking topology is needed, and complex crack shapes can be captures without user intervention. In this paper, a detailed description of how the phase field method is implemented with explicit dynamics into LS-DYNA is provide...

Design of Nondestructive System for Hardness of Carbonitrided Steel Parts ‎Using Eddy Current Testing Method: Case study on the Tappet Parts

In this paper, a non-destructive eddy current test system was designed to evaluate the surface hardness of the carbonitrided steel parts. For this purpose, various samples of the tappet were used after the surface hardening and grinding operations as control samples and, if necessary, were subjected to destructive and non-destructive tests. Microstructural studies were performed with a microsco...

An efficient semi-implicit time integration method for extra large eddy simulations

Efficient Solvers for Multiharmonic Eddy Current Optimal Control Problems with Various Constraints

This work is devoted to the multiharmonic analysis of eddy current optimal control problems in a time-periodic setting. In contrast to previous approaches, we derive the problem setting in a mixed variational formulation to enforce Coulomb gauge in an explicit way. Additionally, we include the cases of different control and observation domains, observation in certain energy spaces, observation ...