A testing preocedure for the evaluation of directional mesh bias

This paper presents a dedicated numerical test that enables to assess the directional mesh bias of constitutive models in a systematic way. The test makes use of periodic boundary conditions, by which strain localization can be analyzed for different mesh alignments with preservation of mesh uniformity and with exclusion of boundary disturbances...

A strain gradient approach to the analysis of nanoarches: Formulation and numerical solution with NURBS interpolation

Size effects observed in the mechanical behavior of micro- and nanostructures cannot be modeled by means of classical continuum mechanics. Enhanced continuum models based on nonlocal integro-differential or higher-order differential formulations have shown, on the contrary, that size effect can be modeled when appropriate modifications to the...

A finite element method for piping erosion in levees: (Abstract)

Cartesian Discretisations for Fluid-Structure Interaction - Efficient Flow Solver

The simulation of multiphysical scenarios has become a more and more important task of scientific computing within the last years. Due to their simplicity compared to monolithic approaches (solving a unique model for the whole scenario), partitioned approaches are widespread. They allow for a reusage of existing and established solvers for the...

Limit-State Design of a Steel Storage Tank Foundation on a Crushed Rock Ring Based on Proven Soil Strength

New vertical steel storage tanks founded on a shallow foundation of a crushed rock ring are planned at the same location of former storage tanks. The dimensions, loads and foundation of the new tanks are identical to the old tanks which were erected 40 years ago and demolished a few years ago. Despite the fact that the new tanks are identical to...

Computations of flows with interfaces using arbitrary Lagrangian Eulerian method

This work is devoted to the accurate simulation of incompressible two phase flows. The core of our methodology is the use of interface resolving meshes and the arbitrary Lagrangian-Eulerian (ALE) description of the fluid kinematics. Our numerical scheme is based on second order finite elements, a fractional step ? time discretisation, and a...

Stabilized adaptive finite elements for laminar burners in 3-d

We describe recent developments in the design and implementation of finite element methods for the compressible Navier-Stokes equations modeling chemically reactive flows. The emphasize is on the low-Mach number regime including the limit case of incompressible flow. The most important ingredients are appropriate finite element discretizations,...

On the time-stepping stability of continuous mass-lumped and discontinuous Galerkin finite elements for the 3D acoustic wave equation

We solve the three-dimensional acoustic wave equation, discretized on tetrahedral meshes. Two methods are considered: mass-lumped continuous finite elements and the symmetric interior-penalty discontinuous Galerkin method (SIP-DG). Combining the spatial discretization with the leap-frog time-stepping scheme, which is second-order accurate and...

NURBS-enhanced finite element method

An improvement of the classical finite element method is proposed. It considers an exact representation of the geometry by means of the usual CAD description of the boundary with Non-Uniform Rational B-Splines (NURBS). For elements not intersecting the boundary, a standard finite element interpolation and numerical integration is used....

Dynamic tensile resistance of concrete-split Hopkinson bar test

The behavior of concrete structures is strongly influenced by the loading rate. Compared to quasi-static loading, on meso and macro-scale concrete loaded by impact loading acts in a different way. First, there is a strain-rate influence on strength, stiffness, ductility, and, second, there are inertia forces activated which influence the...

Numerical modelling of compressible two-phase flows

This paper presents a hierarchy of compressible two-phase flow models. It is shown that using Chapman-Enskog expansions in the limit of zero relaxation time toward the various equilibria that exist in these flows, a full set of models of decreasing complexity can be constructed. At the top of this hierarchy, we have a complete seven equation...

Computing the Reliability of Shallow Foundations with Spatially Distributed Measurements

In many geotechnical projects, field data is used to determine the soil parameters. In most instances, however, the statistical analysis is performed ad hoc and the spatial distribution of this data is not (expclitly) accounted for. A more formal statistical approach allows to make better use of the data and combine it in a consistent manner...

A Finite Element Interior Penalty Method for MHD in heterogeneous domains

The Maxwell equations in the MHD limit in heterogeneous domains composed of conducting and nonconducting regions are solved by using Lagrange finite elements and by enforcing continuities across interfaces using an interior penalty technique. The method is shown to be stable and convergent and is validated by convergence tests. It is used to...

Three Dimensional Discrete Failures in Long Heterogeneous Slopes

Long slopes with variable material properties have a variety of different failure modes that are affected by the correlation distances of the material properties and the geometry and total length of the slope. This work follows previous research examining the consequences of increasing slope length, in which analyses were limited by the...

Numerical control of normal velocity by normal stress for interaction between an incompressible fluid and an elastic curved arch

We study the fluid-structure coupled problem between an incompressible fluid and an elastic curved arch. The fluid flow is modeled by 2-D steady Stokes equations with normal velocity boundary condition on the curved interface and the arch verifies a particular 1-D case of the thin shell theory of Koiter. We present an optimal control formulation...

Probabilistic Slope Stability Analysis using RFEM with Non-Stationary Random Fields

Using recently obtained deterministic results as a benchmark, probabilistic slope stability analyses have been performed on an undrained slope using the random finite element method (RFEM). Non-stationary random fields have been generated with linearly increasing mean undrained strength and a constant coefficient of variation. The influence of...

An investigation on hybrid interface using on-line monitoring experiment and finite element analyses

In this work, the hybrid interface between metal and thermosetting polymer matrix composite was studied via experimental and numerical investigations. Hybrid laminates, whose constituents are aluminum foil, carbon fabric and epoxy matrix, were manufactured using the vacuum assisted resin transfer molding process. Chromic anodization was used to...