Phononic crystals can be designed to show band gaps—ranges of frequencies whose
propagation is strongly attenuated in the material. In essence, their working principle is …

We introduce a new methodology for modeling problems with both weak and strong
discontinuities independently of the finite element discretization. At variance with the …

There is increasing interest in the material point method (MPM) as a means of modelling
solid mechanics problems in which very large deformations occur, eg in the study of …

In this article we first review various approaches developed to date for the weak imposition
of Dirichlet boundary conditions in fictitious domain analysis for elasticity problems. The …

Abstract We extend the Discontinuity-Enriched Finite Element Method (DE-FEM) to simulate
intersecting discontinuities, such as those encountered in polycrystalline materials, multi …

A new enriched finite element technique, named the Discontinuity-Enriched Finite Element
Method (DE-FEM), was introduced recently for solving problems with both weak and strong …

Abstract The Hierarchical Interface-enriched Finite Element Method (HIFEM) is a technique
for solving problems containing discontinuities in the field gradient using finite element …

An immersed enriched finite element method is proposed for the analysis of phononic
crystals (PnCs) with finite element (FE) meshes that are completely decoupled from …

Complex, nonlinear, and transient phenomena are at the heart of modern research in
mechanics of materials. For example, the buildup and release of elastic energy at geological …

We propose an enriched finite element formulation to address the computational modeling
of contact problems and the coupling of non-conforming discretizations in the small …