An efficient implicit time integration method for discrete dislocation dynamics

Efficient time integration in dislocation dynamics

The efficiencies of one implicit and three explicit time integrators have been compared in line dislocation dynamics simulations using two test cases: a collapsing loop and a Frank–Read (FR) source with a jog. The time-step size and computational efficiency of the explicit integrators is shown to become severely limited due to the presence of so-called stiff modes, which include the oscillatory...

An efficient hybrid 2D/3D thin film discrete dislocation dynamics

Crystalline thin fi lms are increasingly used in semiconductor devices, ferroelectric and ferromagnetic devices, biomedical components, fuel cells, solar cells, and wear-resistant coatings. Given their widespread use, understanding the unique mechanisms that control their properties is critical. This has proven challenging because the properties of thin fi lms do not obey bulk scaling laws. In ...

Insight into an implicit time integration scheme for structural dynamics

0045-7949/$ see front matter 2012 Elsevier Ltd. A doi:10.1016/j.compstruc.2012.01.009 ⇑ Corresponding author. E-mail address: [email protected] (K.J. Bathe). In Refs. [1,2], an effective implicit time integration scheme was proposed for the finite element solution of nonlinear problems in structural dynamics. Various important attributes were demonstrated. In particular, it was shown that the scheme ...

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

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...